Questions from General Calculus


Q: Show that the series is convergent. How many terms of theĀ 

Show that the series is convergent. How many terms of the series do we need to add in order to find the sum to the indicated accuracy?

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Q: (a) Use integration by parts to show that /

(a) Use integration by parts to show that (b) If f and t are inverse functions and f9 is continuous, prove that (c) In the case where f and t are positive functions and b > a > 0, draw a diagram...

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Q: Approximate the sum of the series correct to four decimal places.

Approximate the sum of the series correct to four decimal places.

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Q: Approximate the sum of the series correct to four decimal places.

Approximate the sum of the series correct to four decimal places.

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Q: Determine whether the differential equation is linear. /

Determine whether the differential equation is linear.

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Q: Approximate the sum of the series correct to four decimal places.

Approximate the sum of the series correct to four decimal places.

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Q: Approximate the sum of the series correct to four decimal places.

Approximate the sum of the series correct to four decimal places.

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Q: For what values of p is each series convergent? /

For what values of p is each series convergent?

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Q: For what values of p is each series convergent? /

For what values of p is each series convergent?

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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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