BACKGOUNDS REALITY CHECK
YOUR NAME :
Use calculus to find the maximum value of g(x) = x
- 5 x 2 + 2 for x in the interval [-2,3].
Show all your work.
Suppose f is a function with f '(x) = 12x + 4 and f (2)
= 5. Find f(0).
Ans. f (0) =
Find the area of the region in the plane enclosed by the X-axis, the lines
X=1, X=2, and the graph of the function P(x) = 9 -x 2.
Evaluate the integral: