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-

Q: Find div F for F(x. y, 2) = (xy, 5 - zy, x +y). Select the correct answer below: O x- O y-? O x-5- O…

A:

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

A:

Q: Find 4rye®y? dA, where R [0, 1] × [0, 2]. R

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

Q: Find the midpoint of CD. M = (, X1+X2 _Yi+Y2 2 %3D C= (10,-1) and D = (-6,3) ([ ? ],[ ])

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

Q: C is the circumcenter of APQR. PC=3x+7, RC=5x-15, & QC=51-x R P PC=[? ] Q

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

Q: Evaluate xy dx + (x+ y)dy along the.curve y = 4x from (- 3,36) to (- 2,16). C xy dx + (x + y)dy =] C…

A:

Q: Determine the values of y such that D(9,3,-2), E(3,4,7) and F(21,y,-20) are collinear

A:

Q: Find (a) v x w ,(b) w x v ,(c) w xw ,and (d) . v x v .

A:

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 -…

A:

Q: ²5° c) Evaluate x² (1 + x³)³ dx

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

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

A:

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.

Q: Find fy, fy, and f, for f(x,y,z) = 4xy + 6xz + 2yz.

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