Questions from General Calculus


Q: Use a graph to estimate the coordinates of the lowest point on

Use a graph to estimate the coordinates of the lowest point on the curve x = t3 - 3t, y = t2 + t + 1. Then use calculus to find the exact coordinates.

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Q: Determine whether the sequence converges or diverges. If it converges,

Determine whether the sequence converges or diverges. If it converges, find the limit.

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Q: Determine whether the geometric series is convergent or divergent. If it

Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum.

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Q: Find the area enclosed by the loop of the curve in Exercise

Find the area enclosed by the loop of the curve in Exercise 27. Data from Exercise 27: Use a graph to estimate the coordinates of the lowest point on the curve x = t3 - 3t, y = t2 + t + 1. Then use...

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Q: At what points does the curve / have vertical or

At what points does the curve have vertical or horizontal tangents? Use this information to help sketch the curve.

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Q: Use the method of cylindrical shells to find the volume generated by

Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves about the given axis.

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Q: Find the area of the region that lies inside both of the

Find the area of the region that lies inside both of the circles /

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Q: Find the length of the curve. /

Find the length of the curve.

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Q: Find the length of the curve. /

Find the length of the curve.

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Q: Find the length of the curve. /

Find the length of the curve.

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