1,126 Answered Questions for the topic AP Calculus

Ap Calculus Math Calculus Precalculus

02/24/20

Find the Average Value
Find the average value of  over the interval [1, 3].Question options: 1) 1.10 2)  2.20 3)  0.55 4)  0.33
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Ap Calculus Calculus Precalculus

02/24/20

Help with Definite Integral
Write the Riemann sum to find the area under the graph of the function f(x) = x3 from x = 2 to x = 5.options: 1. 2)  3)  4) 
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Ap Calculus Math Calculus Precalculus

02/24/20

The base of a solid in the xy-plane is the circle x^2 + y^2 = 16. Cross sections of the solid perpendicular to the y-axis are equilateral triangles. What is the volume, in cubic units, of the solid?
Question options: 1) 2)  3)  4) 
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Ap Calculus Calculus Precalculus

02/24/20

Please help with Definite Integrals
The Riemann sum,  , is equivalent to  with  .Write the integral that produces the same value as  . options: 1) 2)  3)  4) 
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Ap Calculus Math Calculus Precalculus

02/24/20

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.
Which of the following integrals will find the volume of the solid that is formed when the region bounded by the graphs of y = ex, x = 1, and y = 1 is revolved around the line y = -2.Question... more
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Ap Calculus Math Calculus Precalculus

02/24/20

The region in the first quadrant bounded by the x-axis, the line x = π, and the curve y = sin(sin(x)) is rotated about the x-axis. What is the volume of the generated solid?
Question options: 1) 1.219 2)  3.830 3)  1.786 4)  5.612
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Ap Calculus Math Calculus Precalculus

02/24/20

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

Find the area or the region bounded by the curves y = x^3 and y = 9x.

Question options: 1) 0 2)  10.13 3)  40.50 4)  20.25
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Ap Calculus Calculus

02/22/20

for what value of x is the line tangent to y=x^2 parallel to the line tangent to y= √ x
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Ap Calculus Math Calculus Precalculus

02/21/20

How long till the ball reaches its highest point
An elementary student kicks a ball straight into the air with a velocity of 16 feet/sec. If acceleration due to gravity is -32 ft/sec2, how many seconds after it leaves his foot will it take the... more
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Ap Calculus Math Calculus Precalculus

02/21/20

Find the displacement
For an object whose velocity in ft/sec is given by v(t) = -t2 + 4, what is its displacement, in feet, on the interval t = 0 to t = 3 secs?Question... more
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Ap Calculus Math Calculus Precalculus

02/21/20

Find the distance
Find the distance, in feet, a particle travels in its first 4 seconds of travel, if it moves according to the velocity equation v(t)= -t2 + 4 (in feet/sec). Question... more
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Ap Calculus Math Calculus Precalculus

02/21/20

Find the velocity
Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = 3t2 + cos(t) and v(0) = 2. Question options: 1) v(t) = t3 + sin(t) + 2 2)  v(t) = t3 -... more
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Ap Calculus Math Calculus Precalculus

02/21/20

Find the average value
Find the average value of f(x) = sin(x) over the interval [0, π].Question options: 1) 2 2)  2π 3)  4)  0
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Ap Calculus Math Calculus Precalculus

02/19/20

Find The Volume
The base of a solid in the region bounded by the two parabolas y2 = 8x and x2 = 8y. Cross sections of the solid perpendicular to the x-axis are semicircles. What is the volume, in cubic units, of... more
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Ap Calculus Math Calculus Precalculus

02/19/20

Find the volume of the solid formed by revolving the region bounded by the graphs of y = x^2, x = 3, and y = 4 about the y-axis.
Question options: 1) 2)  3)  4)  None of these
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Ap Calculus Math Calculus Precalculus

02/19/20

Find the Volume

Use your calculator to find the approximate volume in cubic units of the solid created when the region under the curve y = sec(x) on the interval [0,] is rotated around the x-axis.Question... more
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Ap Calculus Math Calculus Precalculus

02/19/20

Help with volume please!
The base of a solid in the region bounded by the parabola x2 + y = 4 and the line x + y = 2. 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

02/18/20

Help with volume
The base of a solid in the first quadrant of the xy plane is a right triangle bounded by the coordinate axes and the line x + y = 6. Cross sections of the solid perpendicular to the base are... more
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Ap Calculus Math Calculus Precalculus

02/18/20

What is the volume
The base of a solid in the region bounded by the parabola x2 + y = 4 and the line x + y = 2. 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

02/18/20

Help with volume
Find the volume of the solid formed by revolving the region bounded by the graphs of y = x2, x = 4, and y = 1 about the y-axisOptions:Question 2 options: None of these
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Ap Calculus Math Calculus Precalculus

02/18/20

What is the volume
The base of a solid in the first quadrant of the xy plane is a right triangle bounded by the coordinate axes and the line x + y = 4. Cross sections of the solid perpendicular to the base are... more
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Ap Calculus Math Calculus Precalculus

02/18/20

Help with Volume
Find the approximate volume in cubic units of the solid created when the region under the curve y = sin(x) on the interval [0, π] is rotated around the x-axisOptions: 4.93 1.57 6.28 2.00
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Ap Calculus Math Calculus Precalculus

02/18/20

Which of the following integrals correctly computes the volume formed when the region bounded by the curves x^2 + y^2 = 25, x = 3, and y = 0 is rotated around the y-axis?
Question options: 1) 2)  3)  4) 
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Ap Calculus Math Calculus Precalculus

02/18/20

Find the volume of the solid formed by revolving the region bounded by the graphs of y = x^3, x = 2, and y = 1 about the y-axis.
Question options: 1) 2)  3)  4)  None of these
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