Question 2

(a) For matrix A =

4 1

2 3

, if g(X) = X + 4x + 2, what is the answer to g(A)?

(b) Using algebra, find the solution to the system of inequalities below

y 5 3x

y + 19 x 8x

(c) What is peculiar about the slope of a function before and after a point of inflection

as compared with the slope before or after a maximum or minimum point?

(d) Suppose that the satifaction received from a number of rides taken on a roller coaster

is given by the function S(x) = 200

.

, where S is the satisfaction

received and x is the number of rides taken.

(i) Find the rate at which the satisfaction changes with respect to the

number of rides taken