Find a > 0 such that F. dr 3 2 4 1 sin 1 where F(r, y) I) sin COS 6 Fy) endC cos 3 is the part of the circle centered on the origin with radius a that is in the first quadrant.of the plane xy. choose an option: a. V3 b. 2 c. 1 V2 d. 2 e. 2т

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A: We have to first use property of Laplace transform.

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A: -x+2y+5x=-1-4x+3y-5x=1

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Q: Find the lengths for the (r= θ² , 0 ≤ θ ≤ √5)

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A: Solution:-  Options (b) is correct

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Q: 1. Use a Trigonometric substitution to evaluate the following: Vy² – 25 -dy,y > 5 y Include a sketch…

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A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…