2. Evaluate the given line integral, (-y,x – y) · dR, where C is the line segment from (1,0) to (-1,0).

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A: Exponential form = reiθ . Rectangular form = a+ib

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Q: 1. Solve for x(t) and y(t), given that x(0)=4 and y(0)=3 dy dx + x + 4y = 10; æ dt - y = 0 dt

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A: Let us solve the given system using Gauss elimination and LU decomposition method in the next step.

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A: In part (2), we have the following: ∂g∂x4,1,2=-π1 sin4π -14-1 ln3log332 Now, sin4π=0 So,…

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Q: - 2 2 - 4 17) - 3 ; 8, 2 - 2 4 3 Ans. 4, ;-4, s0, 2 2 -4 1 2 - 6 4

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A: As per the policy of bartleby the provisions is to solve only one question at a time

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A: The given question is related with inscribed angle. Given a figure.  We have to find the number of…