1,126 Answered Questions for the topic AP Calculus

Ap Calculus Calculus

04/03/20

In a free-fall experiment, an object is dropped from a height of h = 144 feet. A camera on the ground 500 ft from the point of impact records the fall of the object.
a) Find the position function that yields the height of the object at time t assuming the object is released at time t = 0.b) At what time will the object reach ground level? (Round your answer to... more
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Ap Calculus Calculus

04/02/20

Find the exact value of the expression (with out a calculator): 81^(1/ln3)

I mostly need help on what steps to take as I have to answer a lot of questions like this for an assignment.
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Ap Calculus Calculus Ab Calculus

04/01/20

Calc AB Need help. Separable Equations and solving.
Consider the following.y(5 + x) dx + x dy = 0Determine whether the differential equation is separable.I put separableIf the equation is separable, rewrite it in the form N(y) dy = M(x) dx. (If it... more
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Ap Calculus Calculus

04/01/20

Calc AB Need Help. Find the particular solution that passes through the point shown on the graph. Here is the picture of the question
Some of the curves corresponding to different values of C in the general solution of the differential equation are shown in the graph. Find the particular solution that passes through the point... more
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Ap Calculus Math Calculus Precalculus

03/10/20

Find the position function, s(t), describing the motion of the object. 
An object has a constant acceleration of 40 ft/sec2, an initial velocity of -20 ft/sec, and an initial position of 10 ft. Find the position function, s(t), describing the motion of the object. 
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Ap Calculus Math Calculus Precalculus

03/10/20

Determine if Mean Value Theorem applies to function
Determine if the Mean Value Theorem for Integrals applies to the function f(x) = x3 - 9x on the interval [-1, 1]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem.
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Ap Calculus Math Calculus Precalculus

03/10/20

Find the volume
The base of a solid in the xy-plane is the first-quadrant region bounded y = x and y = x2. Cross sections of the solid perpendicular to the x-axis are semicircles. What is the volume, in cubic... more
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Ap Calculus Math Calculus Precalculus

03/10/20

Set up the integral with given information
Set up, but do not evaluate, the integral which gives the volume when the region bounded by the curves y = Ln(x), y = 2, and x = 1 is revolved around the line y = -2. 
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Ap Calculus Math Calculus Precalculus

03/10/20

Find area bounded by the curves
Find the area of the region bounded by the curves , y = 0, and x = 4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative.
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Ap Calculus Math Calculus Precalculus

03/09/20

Evaluate the integral
Evaluate exactly the value of  . Your work must include the use of substitution and the antiderivative. 
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Ap Calculus Math Calculus Precalculus

03/09/20

Evaluate the integral
Evaluate  
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Ap Calculus Math Calculus Precalculus

03/09/20

Find where the curve is concave
Find the interval on which the curve of  is concave up
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Ap Calculus Math Calculus Precalculus

03/09/20

Find the upper estimate
Water leaks from a tank at the rate of r(t) gallons per hour. The rate decreased as time passed, and values of the rate at two-hour time intervals are shown in the table below. The total amount of... more
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Ap Calculus Math Calculus Precalculus

03/09/20

Using n = 4 equal-width rectangles, approximate the integral
Using n = 4 equal-width rectangles, approximate  . Use the left end-point of each sub-interval to determine the height of each rectangle.
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03/03/20

prove the identity
prove sin^4(y)-cos^4(y)= 2sin^2(x) -1 i think you would start on the left hand side but im not sure how to start or why the varibles change. thanks in advance for the help!
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Ap Calculus Math Calculus Precalculus

02/25/20

For an object whose velocity in ft/sec is given by v(t) = -2t^2 + 8, what is its distance travelled, in feet, on the interval t = 0 to t = 3 secs?
Question options: 1) 6.00 2)  0.67 3)  15.33 4)  5.11
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Ap Calculus Math Calculus Precalculus

02/25/20

For an object whose velocity in ft/sec is given by v(t) = -t^2 + 4, what is its displacement, in feet, on the interval t = 0 to t = 4 secs?

Question options: 1) 7.67 2)  -3.33 3)  -5.33 4)  3.33
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Ap Calculus Math Calculus Precalculus

02/25/20

Which of the following integrals will find the volume of the solid that is formed when the region bounded by the graphs of y = e^x, x = 1, and y = 1 is revolved around the line y = -2.
Question options: 1) 2)  3)  4) 
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Ap Calculus Math Calculus Precalculus

02/25/20

Find the area of the region bounded by the curves y = x^2 and y = cos(x). Give your answer correct to 2 decimal places
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Ap Calculus Math Calculus Precalculus

02/24/20

Help with curves please!
Find the number b such that the line y = b divides the region bounded by the curves y = x2 and y = 4 into two regions with equal area. Give your answer correct to 3 decimal places.
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Ap Calculus Math Calculus Precalculus

02/24/20

Help with curves please!
Find the area of the region bounded by the graphs of y = x, y = -x + 4, and y = 0.Options: 1) 1 2)  2 3)  4 4)  None of these
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Ap Calculus Math Calculus Precalculus

02/24/20

Help with curves please!
Find the area of the region bounded by the graphs of y = x2 - 4x and y = x - 4. Options: 1) -4.500 2)  4.500 3)  2.333 4)  None of these
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Ap Calculus Math Calculus Precalculus

02/24/20

Help with curves please!
Which integral gives the area of the region in the first quadrant bounded by the x-axis, y = x2, and x + y = 2?Options: 1} 2)  3)  4) 
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Ap Calculus Math Calculus Precalculus

02/24/20

Help with curves please!
Which of the following integrals represents the area of the region bounded in the first quadrant by x =  and the functions f(x) = sec2(x) and g(x) = sin(x)?Options: 1) 2)  3)  4) 
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Ap Calculus Math Calculus Precalculus

02/24/20

Does Mean Value Theorem apply to the functions
Determine if the Mean Value Theorem for Integrals applies to the function f(x) = 5 - x2 on the interval  . If so, find the x-coordinates of the point(s) guaranteed by the theorem.Question... more
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