30.3. Find and classify the isolated singularities of the following func- tions: +1 Z sin 3z (a). (b). 2²e¹/2, (c). (d). z²(z - 1) 2 COS Z (2²-1) COS TZ (e). cos (f). (z+ 2) (2z -1) (z² + 1)² sin² z 7 1 sin(z − 1) z z² +1

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A: Follow the procedure given below.

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A: Given:     ∫-36fxdx=12     ∫-36gxdx=-2     ∫-36hxdx=-7

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A: answer is in next step. please give a like !!!

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A: To find the laplace transform of the given function.

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A: Let's evaluate given integral.

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A: Here is the solution of the given problem.  To solve the problem we use the following formula:…

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A: To find out the integration.

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A: Above question is solved.

Q: Find the vertical asymptotes (if any) of the gr exist, enter DNE.) x³3x² + 4x g(x) = 5x² - 30x + 40

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A: A detailed solution is given below.

Q: 1. f(x) = x² − 16x, [3, 10] 2. f(x) = 15 – 2x − 2x², [1, 2] 3. f(x) = 2x³ + 3x² − 12x + 24, [−4, 0]

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Q: Given y(t) = e-³tu(t) u(t + 3), where * denotes convolution operation. The value of y(t) as t → ∞o…

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