Washer/Disk Method

Select the formula for finding area under a curve bounded by the x axis.

Select the formula(s) to find the volume of a solid of revolution using the washer method.

Select the integral that would find the volume of the region revolving around the given axis.

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Find the area of the region

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Which one of the definite integrals below gives the volume of the solid?

Which one of the definite integrals gives the volume of the solid?

Find the volume of the region that revolves around the y axis.

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CHALLENGE: Find the volume of the solid of revolution obtained by rotating the region in bounded by y = x³ + 1, x = 1 and y = 1 about the y-axis.

• m = 3 and y = - 8

• m = −3 and y = 8

• m = 8 and y = - 3

• m = −8 and y = 3

What are the conditions that satisfy the mean value theorem, and what does it mean?

• Continuous on the open and differentiable on the closed, and then there is at least 2 numbers c and d in the interval (a,b) (that is a < c < b) such that

• Discontinuous on the closed and differentiable on the open, then there is at least one number c in the interval (a,b) (that is a < c < b) such that f'(c)=(f(b)- f(a))/ (b-a)

• Continuous on the closed and differentiable on the open,and then there is at least one number c in the interval (a,b) (that is a < c < b) such that f'(c)=(f(b)- f(a))/ (b-a)

• Continuous on the open and differentiable on the open, and then there is no number c in the interval (a,b) (that is a < c < b) such that f'(c)=(f(b)- f(a))/ (b-a)