10 multiple choice and 5 short answer calculus questions
10 multiple choice and 5 short answer calculus questions
1.
Use your graphing calculator to evaluate . (5 points)
2.
Describe the discontinuity for the function . (5 points)
3.
Find . (5 points)
4.
Evaluate . (5 points)
5.
Evaluate . (5 points)
6.
Which of the following is the graph of which function has y = -3 as an asymptote? (5 points)
7.
If is continuous at x = -4, find f(-4). (5 points)
8.
Where is discontinuous? (5 points)
9.
If f(x) is discontinuous, determine the reason.
(5 points)
10.
If f(x) is a continuous function defined for all real numbers, f(-10) = -2, f(-8) = 5, and f(x) = 0 for one and only one value of x, then which of the following could be that x value? (5 points)
1.
Use the graph below to list the x value(s) where the limits as x approaches from the left and right of those integer values(s) are not equal.
(10 points)
2.
Find . You must show your work or explain your work in words. (10 points)
3.
Find . You must show your work or explain your work in words. (10 points)
4.
A ball’s position, in meters, as it travels every second is represented by the position function s(t) = 4.9t2 + 350.
What is the velocity of the ball after 2 seconds?
Include units in your answer. (10 points)
5.
The cost in dollars of producing x units of a particular telephone is C(x) = x2 – 2500. (10 points)
a. Find the average rate of change of C with respect to x when the production level is changed from x = 100 to x = 103. Include units in your answer.
b. Find the instantaneous rate of change of C with respect to x when x = 100. Include units in your answer.