Questions from General Calculus


Q: Find the Maclaurin series for f and its radius of convergence.

Find the Maclaurin series for f and its radius of convergence. You may use either the direct method (definition of a Maclaurin series) or known series such as geometric series, binomial series, or the...

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Q: Find an equation of the ellipse with foci (3, ±

Find an equation of the ellipse with foci (3, ±2) and major axis with length 8.

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Q: Find the Maclaurin series for f and its radius of convergence.

Find the Maclaurin series for f and its radius of convergence. You may use either the direct method (definition of a Maclaurin series) or known series such as geometric series, binomial series, or the...

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Q: Find the Maclaurin series for f and its radius of convergence.

Find the Maclaurin series for f and its radius of convergence. You may use either the direct method (definition of a Maclaurin series) or known series such as geometric series, binomial series, or the...

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Q: (a) Use the reduction formula in Example 6 to show

(a) Use the reduction formula in Example 6 to show that (b) Use part (a) and the reduction formula to evaluate

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Q: Evaluate the indefinite integral as an infinite series. /

Evaluate the indefinite integral as an infinite series.

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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 series is convergent or divergent. If it is

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

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Q: (a) Approximate f by a Taylor polynomial with degree n

(a) Approximate f by a Taylor polynomial with degree n at the number a. (b) Graph f and Tn on a common screen. (c) Use Taylor’s Inequality to estimate the accuracy of the approximati...

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Q: (a) Approximate f by a Taylor polynomial with degree n

(a) Approximate f by a Taylor polynomial with degree n at the number a. (b) Graph f and Tn on a common screen. (c) Use Taylor’s Inequality to estimate the accuracy of the approximati...

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