1,126 Answered Questions for the topic AP Calculus
05/08/20
Please help me out. Thank you
A rock is thrown upward with a speed of 48 feet per second from the edge of a cliff 400 feet above the ground. What is the speed of the rock when it hits the ground? Use acceleration due to gravity...
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05/08/20
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Write the integral in one variable to find the volume of the solid obtained by rotating the first-quadrant region bounded by y = 0.5x2 and y = x about the line x = 3
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05/08/20
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Find the area bounded by the curves x = y2 - 4y and x = 2y - y2. Your work must include an integral in one variable
05/08/20
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If the graph of f '(x) is continuous and decreasing with an x-intercept at x = c, which of the following must be true? Options:
1)
The graph of f has a relative maximum at x = c.
2)
The graph...
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05/08/20
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The function f is continuous on the interval [4, 15], with some of its values given in the table above. Estimate the average value of the function with a Trapezoidal Approximation, using the 4...
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05/08/20
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Find the domain for the particular solution to the differential equation , with initial condition y(2) = 2.Options:
1)
x > -2
2)
3)
[-4, 4]
4)
All real numbers
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05/08/20
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Find the average value of , on its domain.Options:
1)
2π
2)
4π
3)
2
4)
4
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05/08/20
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The base of a solid is bounded by the curve , the x-axis and the line x = 2. The cross sections, taken perpendicular to the x-axis, are squares. Find the volume of the...
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05/08/20
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R is the first quadrant region enclosed by the x-axis, the curve y = 2x + a, and the line x = a, where a > 0. Find the value of a so that the area of the region R is 18 square units. Question 7...
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05/08/20
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Find F ′(x) for .Options:
1)
2)
3)
4)
None of these
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05/07/20
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Oil flows into a tank according to the rate , and at the same time empties out at the rate , with both F(t) and E(t) measured in gallons per minute. How much oil, to the nearest gallon, is in the...
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05/07/20
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A radar gun was used to record the speed of a swimmer (in meters per second) during selected times in the first 2 seconds of a race. Use a trapezoidal sum with 4 intervals to estimate the distance...
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05/07/20
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Show that f(x) = x2 and g(x) = 1000x2 grow at the same rate.
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05/07/20
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A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in ft/sec2 is given by the linear graph below for the time interval [0, 30]. At t = 0, the velocity of...
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05/07/20
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The figure below shows the graph of f ', the derivative of the function f, on the closed interval from x = -2 to x = 6. The graph of the derivative has horizontal tangent lines at x = 2 and x =...
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Ap Calculus
05/06/20
How to find velocity when given a linear graph and what t equals?
A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in ft/sec2 is given by the linear graph below for the time interval [0, 30]. At t = 0, the velocity of...
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05/03/20
Help with Calc please!
Find the range of the function .Options:
1)
[-6, 6]
2)
[0, 6]
3)
[0, 9π]
4)
[0, 18π]
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05/03/20
Help with Calc please!
The velocity of a particle moving along the x-axis is v(t) = t2 - 2t, with t measured in minutes and v(t) measured in feet per minute. To the nearest foot find the total distance travelled by the...
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05/02/20
Help with Calc please!
Use the graph of f(t) = 2t + 2 on the interval [–1, 4] to write the function F(x), where .Options:
1)
F(x) = x2 + 3x
2)
F(x) = x2 + 2x - 12
3)
F(x) = x2 + 2x - 3
4)
F(x) = x2 +...
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05/02/20
Help with Calc please!
f is a differentiable function on the interval [0, 1] and g(x) = f(2x). The table below gives values of f '(x). What is the value of g '(0.1)?
x
0.1
0.2
0.3
0.4
0.5
f...
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05/02/20
Help with Calc please!
Compare the growth rate of the functions f(x) = log4(x) and g(x) = 4x. Options:
1)
f(x) grows faster than g(x).
2)
g(x) grows faster than f(x).
3)
f(x) and g(x) grow at the same...
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05/02/20
Help with Calc please!
Which of the following functions grows the fastest as x grows without bound? Options:
1)
f(x) = x2
2)
g(x) = x2 + 5x
3)
h =
4)
They all grow at the same rate.
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05/02/20
Help with Calc please!
The graph of y = f '(x), the derivative of f(x), is shown below. List the intervals where the graph of f is increasing. Options:
1)
(-4, -2) U (2, 4)
2)
(-2, 2)
3)
(-4, 0)
4)
(0, 4)
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