Questions from General Calculus


Q: The region bounded by the given curves is rotated about the specified

The region bounded by the given curves is rotated about the specified axis. Find the volume of the resulting solid by any method.

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Q: The region bounded by the given curves is rotated about the specified

The region bounded by the given curves is rotated about the specified axis. Find the volume of the resulting solid by any method.

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Q: Use cylindrical shells to find the volume of the solid.

Use cylindrical shells to find the volume of the solid. A right circular cone with height h and base radius r

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Q: Find the volume of the described solid S. The base

Find the volume of the described solid S. The base of S is a circular disk with radius r. Parallel crosssections perpendicular to the base are squares

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Q: Find the average value of the function on the given interval.

Find the average value of the function on the given interval.

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Q: Find the volume of the described solid S. The base

Find the volume of the described solid S. The base of S is the triangular region with vertices (0, 0), (1, 0), and (0, 1). Cross-sections perpendicular to the y-axis are equilateral triangles.

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Q: Find the volume of the described solid S. The base

Find the volume of the described solid S. The base of S is the same base as in Exercise 40, but crosssections perpendicular to the x-axis are squares. Exercise 40: The base of S is the triangular re...

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Q: Find the volume of the described solid S. The base

Find the volume of the described solid S. The base of is the region enclosed by the parabola y = 1 – x2 and the x-axis. Cross-sections perpendicular to the -axis are squares.

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Q: Show that, for all positive values of x and y,

Show that, for all positive values of x and y, ex+y /xy > e2.

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Q: Find the approximations Tn, Mn, and Sn for n =

Find the approximations Tn, Mn, and Sn for n = 6 and 12. Then compute the corresponding errors ET, EM, and ES. (Round your answers to six decimal places. You may wish to use the sum command on a compu...

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