Set up an integral for the circulation of F along the curve C, where F = (x² + y², x² - y²) and C is the triangle with vertices (0,0), (8,4), and (0,4), oriented positively. fo Find a, b, c, d, and f(x,y). a= b= C = d= - "f" f(x,y) dz dy Ja с f(x,y)= F.dr =

Q: ive of f(x, y, z) 1) in the dired

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Q: Let C = (-2, -1) be the center of dilation. Let X = (1, 1), Y = (3, 0) and Z = (2,5). Our dilation…

A: Center of dilation=-2, -1X=1, 1, Y=3, 0, Z=2, 5Dilation factor, k=3

Q: Find the increase rate of the scalar V at point P from origin to the point P(2,6; 9,8 ; 9,5) where…

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A: Here we will evaluate each expression.

Q: Evaluate where F(x, y) = x² i+(y² – x) j and C is the line segment from (2, 4) to (0, 4) followed by…

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Q: ntegrate ze²² dz where C from 1 along the axes to i C

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Q: Find an expression for a unit vector normal, no, to the surface x = (4 – cos (v)) cos (u), y = (4 –…

A: The complete solutions are given below

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Q: Let C be the curve connecting (0,0,

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Q: 2. Let x'= [5, 1, 3] and y' =[-1, 3, 1]. (a) Find the inner product, y'x. (b) Find x- - 2y. (c) Find…

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Q: Let f(x, y) = x²y + y²x. Find the directional derivative at (-3, 2) in the direction = π/2.…

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Q: Evaluate the line integral x²z ds, where C is the line segment from (0,6, 2) to (8, 5, 1).

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