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a) find and classify the critical points of the functions f(x) = 2x^3 + 3x^2 - 12 x +1 into maximum, minimum and inflection points as appreciate.

(b) The sum of two positive numbers is S. find the maximum value of their product.



how many terms of the arithmetic series 10 + 8 + 6 +... will make the sum 24?



how many terms of the arithmetic series 10 + 8 + 6 +... will make the sum 24?



Four children had three boxes of coloured pencils.they decided to open all the three boxes, to share the pencils fairly.there were 52 pencils in each box.how many pencils did each child get? Now look at the attempt from the grade 4 learner to solve this.

A, briefly describe how the learner solved this problem.

B, use any strategy to judge the reasonableness of the learner's solution.


"A=\\sqrt{S(S-a)(S-b)(S-c)}"

Make S the subject of the formula


Polynomial and rational functions can be used to model a wide variety of phenomena of science, technology, and everyday life.

Choose one of these sectors and give an example of a polynomial or rational function modeling a situation in that sector. [Hint: see the examples and exercises in the book.]


What are the concepts of polynomial and rotational function?

What are the simplest polynomial and rotational function?

What are the Occuring fact that can be interpreted as polynomial and ratational function in day to day activities?


The parking garage at a train station offers two monthly payment plans for customers. Both plans consist of a fixed monthly cost plus an additional cost per day. Plan A charges a fixed monthly fee of R55

 plus R21

 per day. The total cost for parking under plan B for a certain number of days is given in the table below:

Number of

days parked     Cost     

(R)3

106

10

260

18

436

20

480

 

If C

 represents the total monthly parking cost of a client and n

 represents the number of times he parks his vehicle, which ONE of the following systems of equations best represents this situation?


A company may allow vending machines to be placed next to the cafeteria if 55%

 of the company’s 631

employees ask for it. If 66%

 of the required 55%

employees have already requested the vending machines, how many employees still need to put in a request?


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