Questions from General Calculus


Q: Evaluate: (a). f10d/dx (earctan x

Evaluate: (a). f10d/dx (earctan x) dx (b). d/dx f10 earctan x dx (c). d/dx fx0 earctan t dx

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Q: Evaluate the integral. f21 (8x3 + 3x2) dx

Evaluate the integral. f21 (8x3 + 3x2) dx

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Q: Evaluate the integral. f-12 (x – 2

Evaluate the integral. f-12 (x – 2|x|) dx

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Q: Let R be the region bounded by the curves y = 1

Let R be the region bounded by the curves y = 1 – x2 and y = x6 – x + 1. Estimate the following quantities. (a). The x-coordinates of the points of intersection of the curves (b). The area of R (c). T...

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Q: Describe the solid whose volume is given by the integral.

Describe the solid whose volume is given by the integral.

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Q: Suppose you are asked to estimate the volume of a football.

Suppose you are asked to estimate the volume of a football. You measure and find that a football is 28 cm long. You use a piece of string and measure the circumference at its widest point to be 53 cm....

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Q: The “Garbage Project” at the University of Arizona reports that

The “Garbage Project” at the University of Arizona reports that the amount of paper discarded by households per week is normally distributed with mean 9.4 lb and standard deviation 4.2 lb. What percen...

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Q: Determine a region whose area is equal to the given limit.

Determine a region whose area is equal to the given limit. Do not evaluate the limit.

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Q: The base of a solid is a circular disk with radius 3

The base of a solid is a circular disk with radius 3. Find the volume of the solid if parallel cross-sections perpendicular to the base are isosceles right triangles with hypotenuse lying along the ba...

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Q: Find the area of the region bounded by the given curves.

Find the area of the region bounded by the given curves.

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