W = / x2 + y² + z² Find Wx, Wy, Wxz,Wyy, Wzyx %3D

Q: 2e-u²+2 +2 dydz. 1

A: We have to evaluate the integral ∫01∫1u2e-u2+2dydz

Q: Find the Cross product of A= and B=

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Q: Evaluate (x² + y²) dxdy

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Q: Eliminate the arbitrary constants Inw = -x, y = C₁W + c₂w²

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

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

Q: -3x+9y+6z = 18 -2.x – 3y + 2z = -8 4.r + 6y-4z = 68

A: To solve for x, y, z.

Q: 6y²dx- x(2x³ +y)dy = 0 a. x³yi = y#+ c b. x-3yi 2y+ c C. x³yi= yi+ c -y= 2y+ c d. x

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Q: Solve the system of equations x + y – z = 1, y+ z= 5, x – y = 0 . -

A: Use substitution method to solve for x,y,z

Q: Dª + 4D³ – 3D² − 2D + 1)y = 0

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Q: 2 -1 2 2.

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

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Q: eliminate the parameter to obtain an equation in x and y

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Q: Solve the following system of equations by Crout's Method 2х — 4y + z %3 4, бх + 2у — z % 10, -2x +…

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Q: 6yz+2yz+8yz=

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Q: Find x and y  4x + 6y = 9 x + 3y = 6

A: eliminate x first and find the value of y and by puting the value of x we can find the value of x.

Q: 2 x²+yi -I -VI-2²

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Q: Find the largest z for which 2x + 4y = 5 and x2 + z2 = 2y.

A: Given- 2x+4y=5 and x2+z2=2y To find- The greatest vlue of z. Concept Used- To find the largest…

Q: Find dz if 4x2 + 9y-z z²= 5e

A: The given equation is: 4xz+9y-z3=5ez...(1)

Q: 3x + 5y = 4 3 (x, y) = %3D 4/3 %3D

A: We will solve the following equations as fellow:-

Q: =wyx for w = In (3x+ 4y). ух

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Q: Find rye"ty dyda

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