Evaluate D 6 |3x|√9x²-4 3 2 sin-¹3-sin-¹ 3 tan¯¹3-tan -1 1²/24 sec ¹3-sec dx sec-1³/12

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A: Please see the answer below.

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A: We have to find out

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A: answer is in next step

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A: Explanation of the answer is as follows

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Q: 2. Moderate Find the inverse Laplace transform of s² +8s +27 (s + 1)(s2 + 4s +13)

A: To find the inverse Laplace transform of s2+8s+27s+1s2+4s+13.

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A: The given function is  F(y)=2/(y-3).

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A: topic - synthetic division

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Q: -1 Evaluate 1×₁√/2 + + 5 1+ 25 A csch ¹1x + C 1 B (D dx csch=15+C csch-¹5+C 1 -csch¯¹|x|+C csch

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A: Solution of the problem as follows

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A: In multiple parts question we are advised to answer only first three sub parts .

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A: Solved below

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Q: Write the given (total) area as an integral. * The area above the x-axis and below y = 4 - x^2 *…

A: 1)  consider y=4-x2  and y=0    Solve the above two equations   4-x2=0   4-x2=0   x2=4   x=±2Area…

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A: Here we have to find the coterminal angle.

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