Let z(x, y) = -5x² + 6y² where x = : Calculate dz ds dz dt || = дz მs & дz Ət by first finding = 2s- 2t & y=s - 7t. dy ?х ду дх მs’ მs’ მt Ət & and using the chain rule.

Q: 2 Suppose that A = 3xyz²7 + 2xy³j - x²yzk and p = 3x² - yz. Find, at the point (1,-1, 1), 2.1 Vo,…

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Q: Let F(x, y, z) = x3³yz² - 6x²yz + 9xz - 2y³z. Find F Fxyz' 3x²yz² - 12xyz +9z+ x³z² − 6x²z − 6y²z +…

A: This question is based on Partial Derivative.

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Q: Sv.Vdxdy = dxdy = ду 2 + JR V.(6,x)-V,(b,x)]áx + [ [7 (a, y) –V,(0,v)ky.

A: Here is the solution of the given problem.

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Q: If z varies direct to the square of y and y varies inverse to x (x,y,x) = (20,120,100) Then find the…

A: z varies directly to the square of y, so z=my2 y varies inversely to x, so, y=nx Therefore,…

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Q: -3-X, -3y, -3z]

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Q: Eliminate the Arbitrary Constant: y = c¿e* + c2xe* а. y — 2y" + 2у %3D 0 b.y" - 2y' + у %3D 0 c. y'…

A: y=c1ex+c2xex

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Q: r(2,4) Sa (2y+x) dx +(3x– y)dy} along the straight line x-2t and Evaluate J(0,3) y=P+3.

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