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Q: Evaluate the integral. /

Evaluate the integral.

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Q: Evaluate the integral. /

Evaluate the integral.

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Q: A water storage tank has the shape of a cylinder with diameter

A water storage tank has the shape of a cylinder with diameter 10 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 7 ft, what per cent age of the total...

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Q: Find the area of the crescent-shaped region (called a

Find the area of the crescent-shaped region (called a lune) bounded by arcs of circles with radii r and R.

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Q: A charged rod of length L produces an electric field at point

A charged rod of length L produces an electric field at point P(a, b) given by where / is the charge density per unit length on the rod and «0 is the free space permittivity (see the figu...

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Q: A torus is generated by rotating the circle x2 + (y

A torus is generated by rotating the circle x2 + (y-R)2 = r2 about the x-axis. Find the volume enclosed by the torus.

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Q: The parabola y = 1 2 x2 divides the

The parabola y = 1 2 x2 divides the disk x2+y2 < 8 into two parts. Find the areas of both parts.

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Q: For which positive integers k is the following series convergent?

For which positive integers k is the following series convergent?

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Q: (a) Use trigonometric substitution to verify that /

(a) Use trigonometric substitution to verify that (b) Use the figure to give trigonometric interpretations of both terms on the right side of the equation in part (a).

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Q: Find the volume of the solid obtained by rotating about the line

Find the volume of the solid obtained by rotating about the line x = 1 the region under the curve /

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