FORM IV STUDY NOTES - Darasa Huru

FORM IV STUDY NOTES

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Physics Form Four Study Notes All Topics, ELECTROMAGNETISM, THERMAL CURRENT ELECTRICITY

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Elimu ya Dinisi ya Kiislamu Scheme of Work Form I 2026 (New Format), Kiswahili Scheme of Work Form Three 2026, English Language Scheme of Work Form Three 2026, Civics Scheme of Work Form Three 2026, Business Studies Scheme of Work Form Two 2026, Historia ya Tanzania na Maadili Scheme of Work Form Two 2026, History Scheme of Work Form Two 2026, Kiswahili Azimio La Kazi Kidato cha Pili 2026, Geography Form Two Scheme of Work 2026, Chemistry Scheme of Work Form I 2026 (New Format), Physics Scheme of Work Form I 2026 (New Format), Kiswahili Scheme of Work Form I 2026 (New Format), Geography Scheme of Work Form I 2026 (New Format), English Scheme of Work Form I 2026 (New Format), Business Studies Scheme of Work Form I 2026 (New Format), Book Keeping Scheme of Work Form I 2026 (New Format), Book Keeping Scheme of Work Form I 2026 (New Format)Biology Form I - IV Scheme of Work 2026, Biology Form One Scheme of Work 2026, Biology Form Two Scheme of Work 2026, English Form Two Scheme of Work 2026, Chemistry Scheme of Work Form Two 2026, Mathematics Scheme of Work Form Two 2026, Schemes of Work Form I - IV 2026/2027 (Masomo Yote), Schemes of Work Form Four 2026, Schemes of Work Form One 2026, Schemes of Work Form Two 2026/2027 New Format, Physics Schemes of Work Form Two 2026, Mathematics Scheme of Work Form One 2026, Scheme of Work Mathematics Form One 2026, Scheme of Work Mathematics Form One 2026, Scheme of Work Template (New Format, Scheme of Work Template (New Format) By TIE - Darasa Huru, SCHEMES OF WORK FV - Darasa Huru, SCHEMES OF WORK FIV - Darasa Huru, SCHEMES OF WORK FIII - Darasa Huru, SCHEMES OF WORK FII - Darasa Huru, SCHEMES OF WORK FI - Darasa Huru, History Form One 2026 Scheme Of Work, History Form One 2026 Scheme Of Work New Format By TIE, Historia ya Tanzania na Maadili Form Five Schemes of Work 2025/2026, Schemes of Work For Primary and Secondary Schools New Format, DOWNLOAD SCHEMES OF WORK FORM I 2025 (NEW CURRICULUM) - ALL SUBJECTS, Schemes of Work Form One 2025/2026 - New & Improved Curriculum, Maboresho (Improvements) ya Scheme of Work 2025/2026, Historia ya Tanzania na Maadili Schemes of Work 2025/2026, Business Studies Form 1 Scheme of Work 2025/2026 Free Download, Book Keeping Form 1 Scheme of Work 2025/2026 Free Download, Biology Scheme Of Work for Form One 2025/2026 Free Download, Physics Scheme Of Work for Form One 2025/2026 Free Download, Mathematics Scheme Of Work for Form One 2025/2026 Free Download, Geography Scheme Of Work for Form One 2025/2026 Free Download, Chemistry Scheme Of Work for Form One 2025/2026 Free Download, Kiswahili Form One Scheme Of Work for 2025/2026 Free Download, English Language Form One Scheme Of Work for 2025

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Literature in English Scheme of Work Form Four 2026, Literature in English Scheme of Work Form Three 2026, Geography Scheme of Work Form Three 2026, Physics Scheme of Work Form Four 2026, Kiswahili Scheme of Work Form Four 2026, History Scheme of Work Form Four 2026, Geography Scheme of Work Form Four 2026, Civics Scheme of Work Form Four 2026, History Scheme of Work Form Three 2026, Physics Scheme of Work Form Three 2026, English Form Four Scheme of Work 2026 - Darasa Huru, Chemistry Form Four Scheme of Work 2026, Chemistry Form Three Scheme of Work 2026, Biology Form Four Scheme of Work 2026, Biology Form Three Scheme of Work 2026, Schemes of Work Form Three 2026, Mathematics Scheme of Work Form Three 2026, Mathematics Scheme of Work Form Four 2026, SCHEMES OF WORK, Schemes Of Work

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PHYSICS FORM FOUR NOTES ALL TOPICS

PHYSICS FORM FOUR NOTES ALL TOPICS

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LIGHT, Physics Form III Study Notes - Darasa Huru, Physics Form Four Notes By Idebe 2nd Edition 2024

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REVISIONS QUESTIONS ON COMPUTER SCIENCE FORM ONE, ICS COMPUTER NOTES - Darasa Huru, COMPUTER NOTES FULL FORM 1 2 3 4 ORDINARY LEVEL (FORM 1 – 4)

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ICS COMPUTER FORM II - Darasa Huru, COMPUTER NOTES FORM FOUR – ALL TOPICS

COMPUTER NOTES FORM FOUR – ALL TOPICS

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In-depth Understanding of Elements of Literature, Analysis of the Relationship Between Folklore and Written Literature, The Origin and Development of African Literature in English, The Origin and Development of Literature, The Concepts of Literature, Literature in English - Darasa Huru, Explanations and Definitions of Common Literary Terms, NECTA QUESTIONS NECTA QUESTIONS: Are you looking for Form Four NECTA Past Papers? RESPONDING TO LITERATURE QUESTIONS It is very important to understand the skills for answering literature questions because, more often than not, students fail to respond to literature questions not because they don’t have the right answers for those questions but chiefly because they fail to interpret the questions appropriately and respond accordingly. Therefore, to successfully respond to literature questions, the following things should be taken into consideration at least as the first step to start with: a)Read the question carefully. It is advised to read the question more than once as it helps you to understand it. Re-reading the question twice or thrice may help you to gain some additional insights on the requirements of the question b)Paraphrase the question. At this point try to re-state the question in your own words. This helps you among other things to see if you have understood what you are asked to do. E.g. “With reference to two plays that you have read in class compare two female characters one from each play and show how they differ”. PARAPHRASE: The question requires me to pick two female characters and show their similarities and differences c)Pay attention to key words in the question. Questions have key words that tell you what you are required to do. When you are reading the question note whether it requires you to;- discuss, list, mention, compare and contrast, verify, describe, comment, criticize, interpret, justify.etc.Buy bestselling books online d)Write an outline of your answer. At this juncture try to frame how your essay will look like and what you are going to put in the introduction, the main body and conclusion. i.e. in the introduction you may show (i). The key words to be defined, (ii) the books you are going to use. In the main body you may jot down the points you are going to use from each reading. In the conclusion you may show how you are going to conclude. THE STRUCTURE OF YOUR ESSAY INTRODUCTION. Remember that introduction is the key to your essay. It gives an impression on whether the reader should continue reading your essay or not. Here you are supposed to do the following. 1. Define key terms. For example in our question above; you may need to define: Character(s) this helps your reader to understand your working definition. E.g. Characters are animate or inanimate beings that play different roles in a literary work.Buy bestselling books online 2. Sometimes there are no key words to be defined. In such a case give some background information on the subject in question. E.g. “Women occupy different roles in literary works. By using two readings you have studied in class show the roles of women in your society”. Here you may need to agree with the statement and show that women do really occupy different roles in different societies. 3. List the readings you are going to use. Of course you will have outlined them somewhere, but this is the right place to include them in your essay. A good choice of readings is also very important as it shows whether you are going to respond to the question correctly or wrongly. E.g. To prove the above statement my discussion will be centred on Juliette of Three Suitors One Husband by O. Mbia and Wanjiro of This Time Tomorrow by Ngugi wa Thiong’o. or In this essay references will be made to Juliette of Three Suitors One Husband by O Mbia and Wanjiro of This Time Tomorrow by Ngugi wa Thiong’o. 4. Show the readings you are going to start with. In case of the questions that need each reading to be treated separately. E.gBuy bestselling books online In this essay references will be made to Juliette of Three Suitors One Husband by O Mbia and Wanjiro of This Time Tomorrow by Ngugi wa Thiong’o. To start with Three suitors one husband; MAIN BODY. Here you need to be careful because it is this part that answers your question. Organization. You should organize your essay in paragraphs whereby each paragraph carries one point. That is to say the number of points is determined by the number of paragraphs and vice versa. Each paragraph must contain a topic sentence. A topic sentence is the one containing the argument you are making. E.g. in our question you could begin each sentence by saying “Both Juliette and Wanjiro are…” Provide supporting details. These are evidences from a literary work plus supporting examples. Example if you say… “Both Juliette and Wanjiro are denied to marry men of their choices. Juliette is denied by her family to marry Oko since he is still a schoolboy and has no money compared to the other suitors like Mbia. Similarly, Wanjiro is denied by her mother to marry Asinjo on the ground that he is a man from another tribe, he is poor and has no job.” Citation Your citation will largely depend on the nature of the question you are attempting. Different questions call for different responses. Questions on themes for instance have issues cutting across two or more readings. If that is the case it is possible to refer to two readings in one paragraph. However this approach is used when the point is the same. For example, “Literature is the product of the society. It is used by artists to reflect social realities within their societies. Use two novels you have read to verify the above statement”. In such a case you may discuss a theme like HIV/AIDS which appears in both “Passed Like a Shadow” and “The Interview”. Your citation will be; One of the social realities portrayed is the plight of HIV/AIDS pandemic. In “Passed like a Shadow” people like Adyeri, Amoti, Vicky, David and others die of AIDS due to ignorance of the ways it spreads and beliefs in superstition. Similarly, in “The Interview” people like Georgina and the pastor die of AIDS or kill themselves due to Ignorance without even taking blood test to confirm whether they are infected. If the readings contain different points it is advisable that you deal with one reading at a time and then move to another.Buy bestselling books online If the question requires you to compare and contrast two aspects in two readings you make references to both readings at the same time using words like; whereas, while, on the other hand, by contrast, or comparing by using words like also, similarly, likewise. NOTE: Answering a question is not the same as narrating a story. You should avoid narrating what is taking place in the story but rather analyze and make arguments. CONCLUSION. This is the final part of your essay. You are expected to write your position. Don’t conclude by saying; What I have said/written above are/is…………… The above points are………. It is advised that you conclude your essay with expressions like; Ø In conclusion….., Ø To conclude……., Ø In summary….., Ø By the way of conclusion……., Ø To sum up ……, Ø Generally it can be said that…., Ø To capitulate…….. etc E.g. “Generally it can be concluded that, different characters from different readings may be alike or different depending on the experiences they face in the societies they live. If the experiences are the same the characters are likely to behave the same way and vice versa.” NECTA 2010 1. How can literature help us in fighting against HIV/AIDS in Tanzania? 2. An artist can best use his pen and not rifle to teach and warn the society. Validate this statement using your life experience. 3. Write brief notes on the following literary concepts. (a) Written literature. (b) Setting. (c) Proverbs. (d) Narrator. NECTA 2011 1.(a). Briefly comment on what the following literary concepts are. (I) Short stories. (II) Figurative language. (iii) Characterization. (iv) Setting. (b) What is oral literature? State any five characteristics of oral literature. 2.Using your own life experience, show how literature and language can not be separated. 3.Writting literature in local languages is the only way to make sure that it reaches every individual in the society. Use eight (8) points to argue for or against this statement. NECTA 2012 1. Compare and contrast between the following pairs of literary terminologies (a) Ballad and Epic. (b) Irony and Satire. (c) Conflict and denouement. (d) Round character and flat character. (e) Form and content. 2. What do you understand by the term ‘technique ‘ in a work of art? Explain briefly on seven techniques which can be used in a literary piece of work. 3. Does oral literature still exist in the Tanzanian society today? Discuss basing your arguments on the nature and transmission of oral literature. NECTA 2013 1.How does the language of literature differ from ordinary writing and speech? 2.(a). Define the following terms as used in works of literature. (i) Rehearsal. (ii) Imagery. (iii) Tone. (iv) Point of view. (v) Plot. (vi) Symbolism. (vii) Fable. (Viii) Persona. (ix) Character. (x) Stanza. (b)Give five reasons as to why literature should be taught as a subject to all secondary school students. 3.(a) What are the differences in each of the following terms? (i) Litotes and understatement. (ii) Straight forward narration and flashback. (iii) Metaphorical and literal language. (iv) Onomatopoeia and metonymy. (v) Metaphor and simile. (b) With examples, give a brief explanation of the genres of literature. NECTA 2014 1.’The subject of literature differs from other subjects taught in school’. What are the differences between literature and other subjects in the secondary school curriculum? 2.Briefly compare and contrast the following pairs of literary terms: (a) Symbolism and imagery. (b) Fable and folktale. (c) Antagonist and protagonist. (d) Play and Drama. (e) Alliteration and Assonance. 3.Support the view that ‘the society makes Literature and Literature holds the society ‘. NECTA 2015 1.(a) Define the following literary terms: (i) Satire. (ii) Allusion. (iii) Alliteration. (iv) Conflict. (v) Simile. (b) Show how literature is a reflection of life by giving five points. 2.(a) Briefly explain how the difference between a novel and a poem lies in their form giving three points for each. (b) Why is it important to put plays in action? (c) With examples briefly explain the following literary devices: (i) Hyperbole. (ii) Irony. (iii) Litotes. (iv) Metaphor. (v) Contrast. 3.(a) Briefly explain the following: (i) Oral literature. (ii) Written literature. (b) Mention the three basic genres of literature. (c) It is argued that, the definition of the term literature is not complete unless it involves three elements namely art, language and society. Briefly support this view showing how these elements are part of literature. NECTA 2016 1.Analyse eight elements which makes drama look different from other works of literature. 2.Giving eight points, explain the importance of studying literature. 3.Analyse four key elements of Form and four of Content in a piece of literary writing. NECTA QUESTIONS on Literature in English (Form 3 & 4) NECTA QUESTIONS on English in Literature ORAL LITERATURE THEORIES OF LITERATURE STUDY QUESTIONS ON ENGLISH IN LITERATURE SELECTED POEMS FROM TANZANIA INSTITUTE OF EDUCATION (ANALYSIS) INTERPRETING LITERARY WORKS WRITTEN LITERATURE AFRICAN LITERATURE ELEMENTS OF LITERATURE INTRODUCTION TO LITERATURE NECTA 2017 1.Write brief explanations on each of the following literary terms. (a) Fiction. (b) Film. (c) Stage direction. (d) Episode. (e) Figures of speech. (f) Setting. (g) Tragic comedy. (h) Verse. (I) Scene. (j) Play within play. 2.(a) What are the four major difficulties that students face when appreciating a poem? (b) Distinguish between the following literary terms: (i) Poem and poet. (ii) Verse and stanza. (iii) Rhyme and Rhythm. (iv) Narrative poem and Deductive poem. (v) Theme and Message. 3.Account for features of play /drama which make it different from other genres of literature. NECTA 2018 1. Write brief explanations on the following literary concepts: (I) Conflict. (ii) Myth. (iii) Stage direction. (iv) Dramatic monologue. (v) Modern poetry. (vi) Diction. (vii) Climax. (viii) Euphemism. (ix) Character. (x) Symbol. 2. Using your own life experience, show how literature and language cannot be separated. 3.(a) What is drama? (b) Outline six features of drama. (c) Differentiate the following dramatic terms: (i) Act and scene. (ii) Comedy and tragedy, LITERATURE IN ENGLISH FULL NOTES, LITERATURE IN ENGLISH BOOKS ANALYSIS (INTERPRETING LITERARY WORKS), WRITTEN LITERATURE, ORAL LITERATURE, ELEMENTS OF LITERATURE - CONTENTS, ELEMENTS OF LITERATURE, LITERARY DEVICES, LANGUAGE AND LITERATURE, FORMS OF LITERATURE, CONTEXT IN WHICH LITERATURE IS APPLIED, FUNCTIONS OF LITERATURE, LITERATURE AS AN ART, Introduction to Literature

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BOOK KEEPING FORM IV - Darasa Huru, BOOK KEEPING FORM III - Darasa Huru, BOOK KEEPING NOTES - Darasa Huru, Book Keeping Study Notes Form 1 2 3 4 Notes OLevel– Tanzania, Book Keeping Form Four Full Notes All Topics, Book Keeping Notes Form Three – All Topics

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BOOK KEEPING FORM IV - Darasa Huru, BOOK KEEPING FORM III - Darasa Huru, BOOK KEEPING NOTES - Darasa Huru, Book Keeping Study Notes Form 1 2 3 4 Notes OLevel– Tanzania, Book Keeping Form Four Full Notes All Topics, Book Keeping Notes Form Three – All Topics

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Read Full and Download PDF Free Biology Study Notes, Biology Notes Form 1 2 3 and 4, Biology Notes Form 1 - 4 (Biology O'Level  Notes) - Tanzania, Topic 2: Scientific Processes in Biology - Biology Form One Notes New Syllabus, Topic 1: Introduction to Biology - Biology Form One Notes New Syllabus

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Biology Form Four Notes - All Topics

Biology Form Four Notes – All Topics

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Perimeter of Plain Figures-Mathematics STD 4, Fraction-Mathematics STD 4, Topic 1: Concept of Mathematics - Mathematics Form One, Basic Mathematics Full Notes For Ordinary Level, Mathematics For Form Two Full Notes , Sets, Quadratic Equations, Read and Download Full Notes On Mathematics Study Notes

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Mathematics Form One Notes New Syllabus, Basic Mathematics For Form Four Full Notes, LINEAR PROGRAMMING. Linear programming – is a branch of mathematics which deals with either minimizing the cost or maximizing the profit. It gives the best way of utilizing the scarce resources available. It is so called because it only involves equations and inequalities which are linear. Simultaneous Equation. One of the methods used in solving linear simultaneous equations is a graphical method. Two linear simultaneous equations in two unknowns can be graphically solved by passing through the following procedures. Draw the two lines which represent the two equations on the xy – plane this is done by deter mining at least two points through which each line passes, the intercept are commonly used Determine the point of intersection of the two lines. This point of intersection is the solution to the system of equations. FACT: If two straight lines are not parallel then they meet at only one point: In case the lines do not meet, there is no solution to the corresponding system of simultaneous equations. Example 1 Graphically solve the following system of simultaneous equations. Example 2 Find the solution to the following system of simultaneous equations by graphical method. Solving Simultaneous Equations Graphically Solve simultaneous equations graphically Example 3 Solve the following simultaneous equations graphically and check your solution by a non-graphical method: Example 4 Find the solution to the following system of simultaneous equations by graphical method. Exercise 1 Find the solution to the following systems of simultaneous equations graphically. Try: Ali paid 34 shillings for 10 oranges and 35 mangoes. Moshi went to the same market and paid 24 shillings for 16 oranges and 18 mangoes. What was the price for a mango and for an orange? Inequalities Forming Linear Inequalities in Two Unknowns from Word Problems Form linear inequalities in two unknowns from word problems Linear inequalities Normally any straight line drawn on xy – plane separates it into two disjoint sets. These sets are called half – planes Consider the equation y = 5 drawn on the xy plane as shown below. From the figure above, all points above the line, that is all points in the half plane A which is above the line satisfy the relation y>5 and those lying in the half plane B which is below the given line, satisfy the relation y< 5. Shading of Regions In linear programming usually the region of interest is left clear that is we shade unwanted region(s). NB: When shading the half planes we consider the inequalities as the equations but dotted lines are used for the relations with > or < signs and normal lines are used for those with ≥ or ≤ signs. Consider the inequalities x>0, y>0 and 2x + 3y >12 represented on the xy-plane In this case we draw the line x=0, y= 0 and 2x+3y=12 but the point about the inequality signs for each equation must be considered. From the figure above, the clear region satisfy all the inequalitiesx>0, y>0 and 2x + 3y >12, these three lines are the boundaries of the region. The Solution Set of Simultaneous Linear Inequalities Graphically Find the solution set of simultaneous linear inequalities graphically Example 5 Draw and show the half plane represented by 8x + 2y ≥16 Feasible Region Definition: In the xy plane the region that satisfies all the given inequalities is called the feasible region (F.R) Example 6 Indicate the feasible region for the inequalities 2x+3y ≥ 12 and y-x ≤ 2. Determine the solution set of the simultaneous inequalities y + x ≥3 and x-2y ≤ 9. Example 7 Fatuma was given 30 shillings to buy oranges and mangoes. An orange costs 2 shillings while a mango costs 3 shillings. If the number of oranges bought is at least twice the number of mangoes, show graphically the feasible region representing the number of ranges and mangoes she bought, assuming that no fraction of oranges and mangoes are sold at the market. Solution:- Let x be the number of oranges she bought and y the number of mangoes she bought. Now the cost of x and y together is 2x + 3y shillings which must not exceed 30 shillings. Inequalities: 2x + 3y ≤30 ……… (i) and x≥2y …………….. (ii), Also because there is no negative oranges or mangoes that can be bought, then x≥ and y≥0 ……….. (iii) Now the line 2x + 3y ≤30 is the line passing through (0, 10) and (15,0) and the line x≥2y or x – 2y ≥ 0 is the line which passes through (0,0) and (2,1). Exercise 2 For practice. Draw the graph of the equation 2x – y = 7 and show which half plane is represented by 2x – y >7 and the one represented by 2x – y 3 – x on the same axes and indicate the feasible region. A post office has to transport 870 parcels using a lorry, The Objective Function An Objective Function from Word Problems Form an objective function from word problems Linear programming components Any linear programming problem has the following: Objective Alternative course (s) of action which will achieve the objective. The available resources which are in limited supply. The objective and its limitations should be able to be expressed as either linear mathematical equations or linear inequalities. Therefore linear programming aims at finding the best use of the available resources. Programmingis the use of mathematical techniques in order to get the best possible solution to the problem Steps to be followed in solving linear programming problems; Read carefully the problem, if possible do it several times. Use the variables like x and y to represent the resources of interest. Summarize the problem by putting it in mathematical form using the variables let in step (b) above. In this step you need to formulate the objective function and inequalities or constraints. Plot the constraints on a graph From your graph, identify the corner points. Use the objective function to test each corner point to find out which one gives the optimum solution. Make conclusion after finding or identifying the optimum point among the corner points. Maximum and Minimum Values Corner Points on the Feasible Region Locate corner points on the feasible region Example 8 A student has 1200 shillings to spend on exercise books. At the school shop an exercise book costs 80shillings, and at a stationery store it costs 120 shillings. The school shop has only 6 exercise books left and the student wants to obtain the greatest number of exercise books possible using the money he has. How many exercise books will the student buy from each site? Therefore the student will buy 6 exercise books from each site. Example 9 A nutritionist prescribes a special diet for patients containing the following number of Units of vitamins A and B per kg, of two types of food f1 and f2 If the daily minimum in take required is 120 Units of A and 70 units of B, what is the least total mass of food a patient must have so as to have enough of these vitamins? Solution: Let x be the number of kg(s) of F1 that patient gets daily and y be the number of kg(s) of F2 to be taken by the patient daily. Objective function: F (x, y) = (x + y) minimum f (C) = 10 + 0 = 10 So f (B) = 6.8 is the minimum Therefore the least total mass of food the patient must have is 6.8 kilograms The Minimum and Maximum Values using the Objective Functio Find the minimum and maximum values using the objective function Example 10 A farmer wants to plant coffee and potatoes. Coffee needs 3 men per hectare while potatoes need also 3 men per hectare. He has 48 hired laborers available. To maintain a hectare of coffee he needs 250 shillings while a hectare of potatoes costs him 100 shillings. . Find the greatest possible land he can sow if he is prepared to use 25,000 shillings. Solution: Let x be the number of hectares of coffee to be planted and y be the number of hectares of potatoes to be planted. Objective function: f (x, y) = (x, + y) maximum 3x + 3y ≤ 48 or x + y ≤16 ………….(i) 250x + 100y≤ 25,000 Or 5x + 2y ≤ 500………(ii) x ≥ 0 ……………………(iii) y≥ 0 ……………………(iv) Using the objective function f (x, y) = (x + y) maximum, f (A) = (0 + 250) = 250 f (B) = (0+16) = 16 f (C) = (16+0) = 16 f(D) = (100+0)= 100 (maximum) Therefore the greatest possible area to be planted is 250 hectors of potatoes. NB: In most cases L.P problems must involve non-negativity constraints (inequalities) that are x ≥ 0 and y ≥ 0. This is due to the fact that in daily practice there is no use of negative quantities. Example 11 A technical school is planning to buy two types of machines. A lather machine needs 3m2 of floor space and a drill machine needs 2m2 of floor space. The total space available is 30m2. The cost of one lather machine is 25,000 shillings and that of drill machine is 30,000 shillings. The school can spend not more than 300,000 shillings, what is the greatest number of machines the school can buy? Solution: Let x be the number of Lather machines and y be the number of drill machines to be bought Objective function: f(x, y) = (x + y) max Inequalities: 3x + 2y ≤ 30.. ………………….(i) 25,000x + 30,000y ≤300,000 Or 5x + 6y ≤ 60……………………..(ii) x ≥ 0 ……………………………….(iii) y ≥ 0…………………… ………….(iv) Since the incomplete machine can’t work, then B = (8, 3) or (7, 4).That is approximating values of x and y to the possible integers without affecting the given inequalities or conditions. Now by using the objective function, f (A) = 0 + 10 = 10 f(B) = 7 + 4 0r f (B) = 8 + 3 = 11 f (C) = 10 + 0 = 10 f (D) = 0 + ) = 0 So f (B) gives the maximum number of machines which is 11. Therefore the greatest number of machines that can be bought by the school is 11 machines. Exercise 3 1. Show on a graph the feasible region for which the restrictions are: y ≤ 2x, x≥ 6, y≥2 and 2x + 3y ≤30 From the graph at which point does: y – x take a maximum value? x + y take a maximum value? y – x take a maximum value? 2. With only 20,000 shillings to spend on fish, John had the choice of buying two types of fish. The price of a single fish type 1 was 2,500shillings and each fish of type 2 was sold at 2,000 shillings. He wanted to buy at least four of type 1. What is the greatest number of fish did John buy? How many of each type could he buy? 3. How many corner points does the feasible region restricted by the inequalities? x≥0, y ≥ 0, 3x + 2y ≤ 18 and 2x + 4y ≤16 have? Which corner point maximizes the objective function f (x, y) = 2x + 5y?, Matrices and Transformation, Topic 6: Vectors - Basic Mathematics Form Four, Trigonometry, Probability, Three Dimensional Figures, Area and Perimeter, Coordinate Geometry, Statistics, Similarity

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Biology Practical - Ordinary Level For CSEE Preparations, Biology Practicals for Ordinary Level Form 3 na 4

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FORM IV STUDY NOTES, Form Four Study Notes - All Subjects

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GEOGRAPHY STUDY NOTES - Darasa Huru, GEOGRAPHY NOTES FORM 1 2 3 & 4 (O'LEVEL)

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Biology Practical - Ordinary Level For CSEE Preparations, Biology Practicals for Ordinary Level Form 3 na 4

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