Write f(z) = Im(z - f(z) = u(x, y) + iv(x, y). 3z) zRe(z²) - 5z in the form ○ a. (4y+x³ − xy²) + i(−2y — yx² — y³) - - O b. (4y+x3 + xy²) + i(−2y+yx² − y³) - ○ c. (-7x+x³- xy²) + i(2y + yx² — y³) - ○ d. (4y+x³ — xy² − 5x) + i(−5y + yx² — y³) - -

Q: f= (2xy+ 3x²)ē+ (x² – 2yz + 2y)ē, – (e² + y²)ēz

A: Given

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Q: (11) Evaluate [[3x+5y+i(x²-y') dz along y=x (0,0)

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Q: (c) f(x, y, z) = ln(x+y+z)+√√√x+y+z x+y+z xyz

A: As per bartleby guidelines we only give first question answer. Please repost for other parts.

Q: (c) Write (V3+ i)" in the form of x+ iy.

A: Here I have applied De Moivre's Theorem. See the solution.

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Q: Find u x v, v x u, and v x v. u = -5i + 3j v = 4i + 5j + 2k (a) u x v (b) v xu (c) V x V

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A: f(x) = -x (1-2x)3  f'(x) = -3x(1-2x)2 (-2) + (1-2x)3 (-1) f'(1) = 6(-1)2 +1 f'(1) = 7   Slope m = 7…

Q: Abstract Algebra: Let p(x) = 2x3 −3x2 + 4x−5 and q(x) = 7x3 + 33x−4 in R[x], where R = Z/3Z.…

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Q: o Evaluate , S, Só (x – 2y + 2z)dz dydx.

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Q: Solve (√x+x)=√y+y Select one: O a. y (c(1+√x) + 1)² O b. y = (c(1+√x)-1)² O cy=(-c(1 + √x) + 1)² O…

A: The given equation is; [sqrt(x)+x]dy/dx=sqrt(y)+y.

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Q: J 5(x) =-J5 (x) ylgn O ihi O

A: See solution below. We used properties pf bessels function.

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A: Given f(x,y) = 3x+4ydA =dxdyarea bounded by the region x2+y2≤4,x≥0. It is a semicircle in the left…

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A: Solution :-

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Q: Find The derivative fog : 3 Ⓒ y = (3x -x ²+1) " 0 = 3r+2 2r+3 Ⓒ ² = √√√₁+√x (3

A: According to guidelines we only need to solve the first three subpart of question no 1. Rest of the…

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Q: Find the PMF of Y = 3X − 2 for X ∼ Geo(p). specify thesupport.

A: Step 1: To find the probability mass function (PMF) of Y = 3X - 2 where X∼Geo(p), we need to derive…