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Chapter 6: Q. 11 (page 574)
The volume of solid obtained by revolving the region between the graph around (a)the y axis (b)the line x=2
Part (a) The solid of revolution has a volume of
Part (b) The solid of revolution has a volume of
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Write the volume of the two solids of revolution that follow in terms of definite integrals that represent accumulations of disks and/or washers. Do not compute the integrals.
Consider the region between the graph of and the x-axis on [2, 5]. For each line of rotation given in Exercises 35–40, use definite integrals to find the volume of the resulting solid.
For each pair of definite integrals in exercise 13-18 decide which if either is larger without computing the integrals
Prove Theorem 6.22 by solving the initial-value problem with T(0) = T0, where k and A are constants.
Approximate the arc length of f (x) on [a, b], using n line segments and the distance formula. Include a sketch of f (x) and the line segments .
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