3) Let (X,Y) Uniform(D), where D = {(x, y): y ≤ 2x, 0

Q: 6. f(x, y) = (x - 1)² + (x −y)¹. − Ans.: global minimum 0 at (1,1).

A: Given function is f(x, y) = (x-1)4 + (x-y)4

Q: dv av and ду ди ди 2. suppose f(z) = u(x,y) + iv(x, y), show that əx %3D ду əx ||

A:

Q: Let f(x, y) = ay + 1. Find the absolute maximum value and the absolute minimum value of f(r, y) on…

A:

Q: Find the absolute maximum of f(x,y) = 4x²y² + 3y? 5x2 bounded by y = x, y = 0 and x = 3. + Answer:

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: Find the absolute maximum of f(x,y) = 7x²y² + 5y² + 9x² bounded by y = x, y = 0 and x = 2.

A:

Q: Determine the absolute maximum and minimum values of f(x, y) = 2x² + 3y² on the rectangular region…

A:

Q: f(x, y) = ln(+1), g(x, y, z)= e²+y+²+z²+y³+2, h(w, x, y, z) = (4r+wy)²(z-7w). 14.67=(2,4), =…

A:

Q: Determine (A) 1-0.5x (B) 1-0.5y 0.5-x D) 0.5-y f(x, y) = {BC² k(2 − x)(1−y) 0≤x≤ 2,0 ≤ y ≤1…

A: Given that

Q: Evaluate SSS10e=²+y²+z?)"* dV over B where B = {(x, y, 2) : æ² + y² + z² < 1}. Take T = 3. Türkçe: B…

A: Triple integral is used to integrate the function of three variable over three dimensional region.…

Q: Show that the mixed partial derivatives Fxyy, Fyxy, and Fyyx  of F(x,y,z) = 2z / (x+y) are/aren’t…

A:

Q: The function f whose gradient vector is vf(x,y) = (xIn(v + 7), 7x + y + 7> has two critical points…

A:

Q: 5) Find ôw/ôv if w=x² +(y/x), x u-2v+1, and y= 2u +v-2, at the point (u, v) = (0,0)

A: We have to find all partial derivatives first.

Q: Compute the maximum value of the utility function U(x,y, z) = xyz, subject to x+ 3y+4z 60. %3D

A: To find: Maximum of the function U(x,y,z)=xyz subject to x+3y+4z=60.

Q: iii) Write down the general form of the total infinitesimal variation df (z, ż), in terms of partial…

A: Given: dfx, x˙To show: The general form of the total infinitesimal variation dfx, x˙ in terms of…