Questions from General Calculus


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

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

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Q: Find the volume obtained when the circle of radius 1 with center

Find the volume obtained when the circle of radius 1 with center (1, 0) is rotated about the y-axis.

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Q: Use the Theorem of Pappus and the fact that the volume of

Use the Theorem of Pappus and the fact that the volume of a sphere of radius r is / to find the centroid of the semi - circular region bounded by the curve / and the x-axis.

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Q: The demand function for a commodity is given by /

The demand function for a commodity is given by Find the consumer surplus when the sales level is 100.

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Q: Find the Taylor polynomial T3(x) for the function f

Find the Taylor polynomial T3(x) for the function f centered at the number a. Graph f and T3 on the same screen.

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Q: Identify the curve by finding a Cartesian equation for the curve.

Identify the curve by finding a Cartesian equation for the curve.

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Q: Use series to approximate the definite integral to within the indicated accuracy

Use series to approximate the definite integral to within the indicated accuracy.

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Q: Find the length of the curve. /

Find the length of the curve.

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Q: If the amount of capital that a company has at time t

If the amount of capital that a company has at time t is f(t), then the derivative, f(t), is called the net investment flow. Suppose that the net investment flow is / million dollars per year (where t...

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Q: After a 6-mg injection of dye into a heart,

After a 6-mg injection of dye into a heart, the readings of dye concentration at two-second intervals are as shown in the table. Use Simpson’s Rule to estimate the cardiac output....

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