1.99 See Answer

Question: Evaluate the integral. /

Evaluate the integral.
Evaluate the integral.





Transcribed Image Text:

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> Use the Ratio Test to determine whether the series is convergent or divergent. nT" Σ (-3)ª-| R-1

> Use the Ratio Test to determine whether the series is convergent or divergent. 10" Σ (п + 1)42я1 R-1

> Use the Ratio Test to determine whether the series is convergent or divergent. E ke * k-1

> Evaluate the integral. |x cosh ax dx

> Use the Ratio Test to determine whether the series is convergent or divergent. 00 k= k!

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> A sub tangent is a portion of the x-axis that lies directly beneath the segment of a tangent line from the point of contact to the x-axis. Find the curves that pass through the point (c, 1) and whose sub tangents all have length c.

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> A student forgot the Product Rule for differentiation and made the mistake of thinking that / However, he was lucky and got the correct answer. The function f that he used was / and the domain of his problem was the interval / .What was the function t?

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> Prove the formula, where m and n are positive integers. So if m +n " sin mx sin nx dx T if m = n

> Prove the formula, where m and n are positive integers. T" sin mx cos nx dx = 0

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> Find the volume obtained by rotating the region bounded by the curves about the given axis. у — sec x, у — cos x, 0 <x< п/3; about y —-1

> Find the volume obtained by rotating the region bounded by the curves about the given axis. y = sin x, y = cos x, 0 < x </4; _about y 1

> Find the volume obtained by rotating the region bounded by the curves about the given axis. y = sin?x, y = 0, 0<x< ™; about the x-axis

> Use a graph of the integrand to guess the value of the integral. Then use the methods of this section to prove that your guess is correct. sin 27x cos 5T x dx Jo

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> Find the area of the region bounded by the given curves. y = sin?x, y = sin'x, 0<x< T

> Find the average value of the function f(x) = sin2x cos3x on the interval /

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> (a) Approximate f by a Taylor polynomial with degree n at the number a. (b) Use Taylor&acirc;&#128;&#153;s Inequality to estimate the accuracy of the approximation / when x lies in the given interval. (c) Check your result in part (b) by graphing / S

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> Evaluate the integral. sin?x cos'x dx

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1.99

See Answer