603 Answered Questions for the topic AP Calculus

#### 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...
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#### 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...
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#### 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

#### 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

#### 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

#### 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

#### 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)

#### 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

#### Find Volume in cubic units of the solid

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

#### Find Volume in cubic units of the solid

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

#### Which of the following integrals correctly computes the volume formed when the region bounded by the curves x^2 + y2 = 25, x = 3, and y = 0 is rotated around the y-axis?

Which of the following integrals correctly computes the volume formed when the region bounded by the curves x2 + y2 = 25, x = 3, and y = 0 is rotated around the y-axis?Question...
more

#### 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.

Find the volume of the solid formed by revolving the region bounded by the graphs of y = x3, x = 2, and y = 1 about the y-axis.Question options:
1)
2)
3)
4)
None of these

#### Use your calculator to 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-axis.

Question options:
1)
4.93
2)
1.57
3)
6.28
4)
2.00

#### Find the area of the region bounded by the graphs of y = x, y = 4 - 3x, and x = 0.

Question options:
1)
0.375
2)
2
3)
4
4)
None of these

#### Find the area of the region bounded by the graphs of y = 2 - x^2 and y = -x.

Question options:
1)
4.5
2)
1.5
3)
-1.833
4)
None of these

#### Which integral gives the area of the region in the first quadrant bounded by the graphs of y^2 = x - 1, x = 0, y = 0, and y = 2?

Question options:
1)
2)
3)
4)

#### Which of the following integrals represents the area of the region bounded by x = 0, x = 1 and the functions f(x) = -2x^4 and g(x) = x^2?

Question options:
1)
2)
3)
4)

Ap Calculus Precalculus

02/11/20

#### SIne and Cosine graphs

Given the equation y=2sin((5π/6)x+10π/3)+3 find the horizontal shift. i was able to find the other properties needed such as amplitide and the period which was 2.4 but i can't figure out how to...
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#### Evaluate the Integral

Evaluate . Question options:
1)
tan(x) + C
2)
sec2(x) + C
3)
-cot(x) + C
4)
None of these

#### Find the Antiderivative

Find an antiderivative of 4x7. Question options:
1)
2)
3)
28x6 + C
4)
None of these

#### Find d/dx for the equation

Find . Question options:
1)
6e6x
2)
3)
e6x
4)
3e6x

#### Write the Definite Integral

Write the definite integral for the summation: . Question options:
1)
2)
3)
4)

#### Use Geometry to Evaluate

Use geometry to evaluate . Question options:
1)
10.5
2)
12.5
3)
23
4)
25

#### Evaluate the Equation

Use the properties of sigma notation and the summation formulas to evaluate . Question options:
1)
235
2)
555
3)
940
4)
1865

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