e) Zs and zt, where z = xy – x²y, x = s + t, and y = s – t. [Ans:z, = 2s – 3s² – 2st + t²; z, = -s² – 2t + 2st + 3t²] %3D f) zg and zt, where z = e*+y, x = st, and y = s+t. [Ans:z, = (t + 1)est+s+t, z¢ = (s + 1)est+s+t] x-z g) Ws and wt, where w == x = s+t, y = st and z = s - t y+z -2t(t+1) 2s [Ans:w, (st+s-t)2i Wt = (st+s-t)2-

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Q: vinarixinvaxana Pic г.) 4. Find Brune fronor. [

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A: Given that, 2xz-yzdx+2yz-zxdy-x2-xy+y2dz=0

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A: The objective is to find the double integration where  R=[0,1]×[0,2]

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Q: Q.2: Find u x v, where a: u = (1,–3,4) & v = (3,4, 7), ats b: и %3D (1,2,3) &v %3D (1,5, 2).

A: Given: a u=1, -3, 4 and v=3, 4, 7b u=1, 2, 3 and v=1, 5, 2 To Find: u×v=?

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A: We can find the mid point of CD as below

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A: C is the circumcenter of ∆PQR. PC=3x+7, RC=5x-15, &amp; QC=51-x

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Q: Evaluate f C F = (x² +

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Q: Find the (2x + 1)³ dx A. (2x + 1)2 +c (2x + 1)3 + c 8 С. (2x + 1)4 + c D. (2x + 1)* + c 4 B.

A: We have to find the indefinite integral of given function

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Q: Find fx and fy for f(x, y) = (1 - 2x + y)ex+2y Select one: a. None of these b. fx = c. fx (2 + x -…

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Q: H.W: Find f, fw, fx and fy if f(x, y) = x+ y+ xy yy>

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A: Introduction: Like Laplace transformation, convolution theorem is also used Fourier transformation.…

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A: We solve given integral by method of substitution.  To make integral easier,  we substitute some…

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Q: 41. For ), find all values ofx and y such thatx,y)=0 simultaneously. and yr.y)=0 f(x, y)…

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Q: dy Given y = x3 In x, is: d.. Select one: a. 3x2 In x + x2 b. r2 c. 3x In x + x³ d. 3x2 In x

A: Using the product rule of differentiation, it can be written that…

Q: 2. Integrate: S w5 V7+ w3 dw 3. Find S (6-+ - sV) de

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A: Finding the partial derivative of z with respect to y

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Q: If w = 9x² - 4y, x = -6s+3t, and y = = Provide your answer below: Əw = Ət -4s + 9t, find dw Ət in…

A: Please see the below picture for detailed solution.

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A: Given, f(x,y,z)=4xy+6xz+2yz