af when s = 1,t = 1 for f (x, y) = x³ – 3xy - 6x + 6y ,x = 2t + s, y = 2s – t. a) Find as

Q: .3 If U = 2– x, | x 2-xdx=

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Q: If z = x² - xy + 3y2 and (x, y) changes from (3,-1) to (2.96,-0.95), compare the values of Az and…

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Q: y = x lnx,  [1,2]

A: MVT conclusion for point ‘c’ is

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Q: C) Find S x2e-* dx

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Q: Let X: EXP(0). suppose Y= 2x , the Y is i = 1 Select one: a. Gamma (n,-) b. Camma(n. 4) С.…

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Q: Show that A (B × ℃) is not equal to B · (À × ℃)

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Q: 2- Show that: -1 xb-1 In x dx b2

A: See the attachment

Q: Determine the expression for Fyz(x, y, z) given the function F(x, y, z) = 2x²y – xz? 3y z.

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Q: Find fy (-1,-4,-2) if f(x, y, z) = x³ z4 + 2xy – y? z + 1.

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Q: find the derivative of (2³ + j)² O 23 +j O 223 + j O 625 + j6z² O 325 + j3z?

A: Derivative of (z3+j)2 is 2(z3+j)2-1(3z2+0) = 2(z3+j)×3z2 = 6z2(z3+j) = 6z5+j6z2

Q: Calculate (2x+3y+z)dV where = [1,2] x [-1,1] × [0,1] A. 0 B. 1 C. 4 D. 7

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Q: Find f if Vf = 10xy i + (5x² + 20y³) j f =

A: We have to find the function .

Q: əz If z = f (x, y), find and for the following equation z=-2xy

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Q: xy2 = 8 at (2,2)

A: Substitute x=2 and y=2 in the given function xy2

Q: Find ∂z/∂t if z = sin(5x3-3y2), x = 2s2+t2, y = 2st3. Write in terms of the two independent…

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Q: Given that F′=f, use the substitution method to show that ∫f(ax+b) dx=1aF(ax+b)+C, for nonzero…

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Q: | (4z + 4y + 4+8zy) dA where R= [1,2] x (0,1]. R Let I Find

A: Given: ∬4x+4y+4+8xyddwhereR=1,2x0,11

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Q: If f(x.v) = In) find 2y. дхду O a. 0 O b. 2x y Oc -1 Od. d. -2x

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Q: Find dy when r + y? = 5.

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Q: F = (y³, -x°, xyz) 3 Find V x F.

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