(b) Compute the value of the line integral [(2x³yi-xy² j)dr, where C is the path made up from the two line segments from (0, 0) to (1, 1) and from(1, 1) to (2, 1).

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Q: Use the linear approximation to approximate (123)/3.

A: Let's find.

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Q: 1 f(z)=- (r+,2) +4)

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Q: 2. Let closed curve C consist of the line segment from (0,0) to (2, 1), followed by the line segment…

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Q: Evaluate A = F. dr where F(x, y) = (6x – 2y)i+x²j for each of the following curves. a) C is the line…

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Q: Assume that a rocket is in space and is following the path y = – 6(x − 7)² + 3, from left to right…

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Q: Compute F · dr where F(x, y) = and C is the path traced by the line segment starting at (0, −1) and…

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Q: 2. Find the equation of the place that pusses + through the point= (-1,2,1) Contains the line of…

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Q: A Find the value of J G dL if G = x'a, - xyza, given points P,(1,2,3) and P;(5,0,4) and a path…

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Q: x = s·t u = x² + y³ +z*, {y = s² +² z = s- t

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Q: c) Consider the third-order truncation error (0 (Ax )³) with the step size Ax and also (-Ax) then,…

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Q: Calculate the rectangular approximations R1, R2, and R4 for f(x)=2x−1 over the interval [1,5].

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Q: Use the method of Characteristic to solve U t tuux = 2t, u(x, 0) = 3x.

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Q: Find all residues of the function z (2-2) not including the residue at infinity. "

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Q: c) Which of the following functions are analytic in 121² 2 2: 42²26649 (ii) Z²-1 Z-√√Z²74

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Q: ) Find an analytic function f(z) = u(xr, y) + iv(r, y) with real part -. -----) u(r, y) = x? – y? +…

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