Consider F and C below. F(x, y, z) = yzexzi + exzj + xyexz k, - C: r(t) = (t² + 1)i + (t² − 1)j + (t² - 4t) k, 0≤ t ≤4 (a) Find a function f such that F = Vf. f(x, y, z) = (b) Use part (a) to evaluate [ F. dr along the given curve C.

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A: Linear Transformation :If U and V are two vector spaces, over a field F. Then the mapping T:U->V…

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Q: Find the adjoint of F:C3 tends to C3 defined by F(z1, z2, z3)=(2z1+(1-i)z2 , (3+2i)z1 -4iz3 ,…

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A: We have to fund the value of gv(u=-1,v=1).

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A: Use logarithms definition to choose the correct answer.

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Q: he function f(x)=3x2+2x

A: Introduction: A function is bijective if it is both injective and surjective and a function f(x) is…

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Q: 2. In each case, write the function f(z) in the form f(z) = u(x, y) + iv(x, y): z² (a) f(z)=z³+z+1;…

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Q: 04 Let f(x) be a contineous function such that Ler - 5/W)dx = = 4 and =9, then a) 81 b) 101

A: Use definite integration property

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Q: The values of fx , f y and f, at (1,1,1) for the function f (x,y,z) = x² + xyz +z are fy= Choose. +…

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Q: The domain of the function f(x, y) = is {(x,y) € R? : y 2 -x} Vy+x صواب İhi

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