Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. TT y = 0, y = cos(7x), x = 14 Use your calculator to evaluate the integral! x = 0 about the axis y = 4

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A: Use Laplace transform

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A: We will solve  the integration.

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A: The given problem is solved below in detail. The last part as requested is solved in detail.

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Q: Use a sum or difference identity to find the exact sin 15° O = √6-1/2 4 o √6+√√2 4 √6-√√2 4 O √6+√√2…

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Q: 4). Write the first-order differential equation in standard form. (Use yp for y'.) y' = x9y +…

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Q: Q16 3⁰ 3t+2 a) 1 b) J dt dr cos² r√5 + tanz dt (3-5t)²

A: see below the answer and calculation

Q: 7. Use the Root Test to determine if the series converges or diverges. a. b. k=1 W k=1 2k

A: The given series, a) ∑k=1∞k+12kkb) ∑k=1∞kek

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Q: dx √e²x -9 A. 3 sec¹e* +C S B. 1 sec ¹ (= ² + c = c.₁ /sec²¹ e ² + C C. ex 0-¹ (+ ²) + C et с 3 D.…

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Q: Graph the curve. O r = 6 + sin(40) -6 -4 -4 -2 y 2 2 4 4 6 X 8:34 2 -6 -4 -2 -4 y -2 6 2 -2 -41 -6 2…

A: The objective is to solve the above question.

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A: Let's find.

Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 12…

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