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

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Q: differentiate y =[(3x2 + 2x + 2)(x - 2)]2

A: The differentiation of nested functions can be calculated by using the formula ddxfgx=f'gxg'x  . And…

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Q: xe lF Sx2z+y3-Xリ2う=0,

A: Consider the following equation: 3x2z+y3-xyz3=0 Differentiate the above equation with respect to x…

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A: The expression: x+yx-y

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A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: 5x + 3y = 51 y = 10x - 8 (,  )

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Q: Write y=2(0.5x-6)(6-24x) in the form y=k(x-r)(x-s) and give the values of k,r,s.

A: We have to factor out 0.5 and -24

Q: Integrate dx Vr® + 4

A: Given integration is                                                              ∫x2x6+4dx here we…

Q: Does (2, 2) make the equation y = 3x true?

A: The objective of this question is to determine whether the point (2, 2) satisfies the equation y =…

Q: x = t3 + t2, y = 7t2 − 4, t = 2

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Q: Find the values of x and y for which (x + y, 0) = (3,1 - y)

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Q: Q2:- xdy-ydx -Jx - dx

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Q: Find the point on the line 6x + y = 8 that is closest to the point (−4, 1).

A: to find:- point Q(x,y).

Q: Find the total ancd neguon between x-axis and the gruph of y==X2 - 3X, -7sx52

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Q: Find the characteristics equation of x²r+2xys+y²t

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Q: If (x2 - y2) = 10 and (x + y) = 2, find x and y.

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Q: [-3i-2j]-[-2i-5j]= ◆ 2 + j

A: We have to find the subtraction between the given vector functions. We have, -3i→-2j→--2i→-5j→

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

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Q: (3 2X +2X +2 dx x²+2x=x -2

A: As per guideline we have to solve