Lex f(z) = 22 +zim (z). If f(z) =.u(x,y) +iv(x, y), where 2+: :=xtiy, find.x (х,у) а. х2+ ху-у 2 b. x2+ 2ху-уч с. 2×y-y² ху-уч d.

Q: Find div(V), where V= (x²+y² + z²)¯²(-3x, -3y, –3z].

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Q: If z1 = (3,7) and 22 (5,-6), then 2122 is equal to what? %3D А. (57, 17) В. (15, - 42) С. (15, 42)…

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Q: Hw/ If 2x, - X2 + 3 X3=2 メi+3X2- メ3=11 2 Xー2×2+ 5X3=3 %3D Then Find The values X, X2

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Q: Calculate Duf (2₁-4,1) in the direction of 9 = 2₁ +2²₁ +3k for the function f(x, y, z) = x² +…

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Q: Differentiate y = xV A. 2Vx (2+In x) В. (2+In x) VX C. 2vx 2V (2 – In x) | D. 2V (2 + In x)

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Q: Differentiate. 5x - 9 +x3 3x +1 g(x) = gʻ(x) = D

A: Given  gx=5x-93x+1+x3 To do Differentiate gx=5x-93x+1+x3

Q: find x and y if (2x+1,y)=(5x+4, -7)

A: Given: 2x+1,y=5x+4,-7

Q: Evaluate for r=(3,5) , s=(-6,4) , and t=(6,-1). 2r-(s+t)=

A: Recall the following facts.

Q: xdx = ? (ах + b)(сх + d)

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Q: S(x2 - 2)/xdx = 3 4 /x-글wx+C 4

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Q: Find dy2 of z = 2x – 5xy² + x² y° %3D -

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Q: af If 2xy(-x² + y) + xe", what is ду ду? Select one: а. 4ху — 2x3 + хеУ ду? 2x(-x² + 1) + xe" b. ду?…

A: Given ∂f∂y=2xy−x2+y+xey

Q: дz дz 45. Find and Әх ду at (-1, 1, -1): yey-x² +z² = -3z-y²³

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Q: log2(3x – 1) = 3 Select one: О а. х-10/3 O b. x=1/3 О с. х3 -3 O d. x=3

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Q: If ƒ (x, y) = x³y5 + 2xy, then what is the second coordinate of Vf? (Remember to use * for…

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Q: Find real numbers and such that 2.x – 3iy + 4ix – 2 y – 5–10ix = x + y – iy + 2-(3– x)i

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Q: Find of z = 2x° 5xy" + x¯ y dy2 -10ху + 3x? у? = -10y + 6xy²

A: To find ∂2z∂y2 of z = 2x3-5xy2+x2y3

Q: Determine Duf (3,-10) for F(X, Y, Z) = 4x - y² ³ 2 3x2 of ✓² = (-1₁4, 2) in the direction

A: Given function have to find the directional derivative in the direction of vector .As we know -

Q: Q = 3x² + 5y² 1 , where x+y=8. Minimize

A: Qx,y=3x2+5y2 and x+y=8

Q: dx 4x+6у+5 dy Зу+2х+4

A:

Q: Exercise 1. Partial Parabolic Equations: Classify the following equation: 3 Ou Əy

A: Here for given partial differential equation we have to classify it.

Q: If (x1 , y1) = (-3, 1) and (x2 , y2) = (-2, 4), find (y2 - y1) / (x2 - x1)

A: Given, x1, y1=-3, 1x2, y2=-2, 4

Q: а a²-x² ху(х + у)dydx 0. x,

A: Integration of function expression with respect to variable x or y gives the area under function…