Questions from General Calculus


Q: At what point(s) on the curve x = 3t2

At what point(s) on the curve x = 3t2 + 1, y = t3 - 1 does the tangent line have slope 1 2 ?

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Q: Find equations of the tangents to the curve x = 3t2 +

Find equations of the tangents to the curve x = 3t2 + 1, y = 2t3 + 1 that pass through the point (4, 3).

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Q: Find the area enclosed by the x-axis and the curve

Find the area enclosed by the x-axis and the curve x =t3 + 1, y = 2t – t2.

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Q: Let R be the region enclosed by the loop of the curve

Let R be the region enclosed by the loop of the curve in Example 1. (a) Find the area of R. (b) If 5 is rotated about the x-axis, find the volume of the resulting solid. (c) Find the centroid of R.

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Q: Set up an integral that represents the length of the curve.

Set up an integral that represents the length of the curve. Then use your calculator to find the length correct to four decimal places.

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Q: Find the radius of convergence and interval of convergence of the series

Find the radius of convergence and interval of convergence of the series.

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Q: Set up an integral that represents the length of the curve.

Set up an integral that represents the length of the curve. Then use your calculator to find the length correct to four decimal places.

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Q: Set up an integral that represents the length of the curve.

Set up an integral that represents the length of the curve. Then use your calculator to find the length correct to four decimal places.

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Q: Set up an integral that represents the length of the curve.

Set up an integral that represents the length of the curve. Then use your calculator to find the length correct to four decimal places.

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Q: Find the exact length of the curve. /

Find the exact length of the curve.

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