(a) The cost function and price per unit function of selling x unit of chair are C(x) = 0.1x2 + 2x + 500 and p(x) = 200 – x respectively. Calculate the:
1. revenue function (2 marks)
2. marginal cost when 5 units of chairs are produced (3 marks)
3. maximum profit (10 marks)

(b) Differentiate the following function with respect to x.

1. y = 12x-3 + 5x2– 9x + 15
(2 marks)

2. y = 6x6 - 7x -2 / x3

3. y = x + 1 / 2x - 7

Circle d circumscribes abc and abe. which statements about the triangles are true? statement i: the perpendicular bisectors of abc intersect at the same point as those of abe. statement ii: the distance from c to d is the same as the distance from d to e. statement iii: bisects cde. statement iv: the angle bisectors of abc intersect at the same point as those of abe. a. i only b. i and ii c. ii and iv d. i and iii e. iii and iv

The area of the map is the product of the length and width. write and expression for the area as the product of the two binomials do not multiply

Astudent draws two parabolas both parabolas cross the x axis at (-4,0) and (6,0) the y intercept of the first parabolas is (0,-12). the y intercept of the second parabola is (0,-24) what is the positive difference between the a values for the two functions that describe the parabolas