1,125 Answered Questions for the topic AP Calculus
Module calculus problem
Given the position function s(t), s(t) = t2 + 3t + 1, where s is measured in meters and t is in seconds, find the velocity and acceleration of the particle at t = 4 secondsOptions:
11 m/sec; 2...
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Module calculus problem
Use the graph of f '(x) below to find the x values of the relative maximum on the graph of f(x):Options:
0.5
2
1
1.5
Module calculus problem
Given f '(x) = (x + 1)(6 + 3x), find the x-coordinate for the relative minimum on the graph of f(x). Options:
0
-1
-2
None of these
Calculus problem
Determine the slope of the graph of x4 = ln(xy) at the point (1, e)Options:
3e
e4
1
4
Calculus problem
If h(x) = f[g(x)], use the table of values for f, g, f ' and g ' to find the value of h '(1)x f(x) g(x) f '(x) g '(x)1 3 2 2 62 1 8 5 73 ...
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Calculus problem
Is the following true or false?Options:
True
False
Calculus problem
Which one of the following statements is true?Options:
If f and g are differentiable, then .
If f and g are differentiable, then .
None of these statements are true
Calculus Problem
Differentiate Option:
-1
-2csc(x)sec(x)
2csc(x)sec(x)
Calculus problem
Find for y = 3cos(x) + sec(x).Options:
-3sin(x) + sec(x)tan(x)
3cos(x) - sec(x)tan(x)
3sin(x) - sec2(x)
3cos(x) - sec(x)
Calculus problem
Use a graphing calculator to graph and then select the response which is true.Options:
f has a horizontal tangent line
f increases without bound
f has no tangent line
none of these responses
Calculus problem
Given find f '(x) and give its domain.Options:
Domain: All real numbers, x ≠ 5.
Domain: All real numbers, x ≠ 3.
Domain: All real numbers, x ≠ 3, 5.
Domain: All real numbers.
Rate of changes
The cost in dollars of producing x units of a particular brand of notebook is C(x) = x2- 400.
Find the average rate of change of C with respect to x when the production level is changed from x =...
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Velocity of the ball
A ball's position, in meters, as it travels every second is represented by the position function s(t) = 4.9t2 + 550.What is the velocity of the ball after 3 seconds?Include units.
Evaluating problems
Where is discontinuous?Options:
f(x) is continuous everywhere
x = -4
x = -2
x = -4 and x = -2
Evaluating problems
If is continuous at x = -3, find f(-3).Options:
3
-3
-6
6
Evaluating problems
Which of the following is the graph of which function has y = -1 as an asymptote? Options:
y = ln(x + 1)
Discontinuity for functions
Describe the discontinuity for the function Options:
There is a hole at x = -9.
There is a vertical asymptote at x = 3.
There is a removable discontinuity at x = 3.
There is no discontinuity at x =...
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Evaluating problems
Use your graphing calculator to evaluate Options:
0
e
π
1
Relation of Rates
A 25-ft ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.18 ft/sec, how fast, in ft/sec, is the top of the ladder sliding down the wall, at...
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