We know that S(x,y)dx + g(x,y)dy] = Se f(x,y)dx +Seg(x,y)dy. Use this knowledge to evaluate S.y dx+x dy) where c is the line segment from %3D (1,-1) to (4,3).

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A: Solution :-

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A: This is second partial derivative so do the derivative like normal considering all other variable…

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A: y=x+C1ex+C2e-2x

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A: Given two differential equations We have to find out prey and predatory from the following…

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Q: Evaluate Jo (2x - y) dx + (x + 5y) dy. C: x-axis from x = 0 to x = 6

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Q: Evaluate (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (2, -7) 323 2

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Q: b) By using the given substitutions, show that i. Sx(x – 3)5dx =÷(x- 3)“(2x + 1) + C, z = x - 3 14…

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Q: 2 The Range (Ry) of y = v9 – x² -

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A: We can find the answer as below

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Q: Evaluate (2x - y) dx + (x + 3y) dy. C: x-axis from (0, 0) to (0, -3) and (0, -3) to (8, -3)

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Q: dy : Find if dx 3.x 2) x - y 4+ y x +y 4) xy² x - y

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