Find the marginal profit functions; first order partials: f,(r,h) = f (r,h) Dr f(r.h) a) f,(3,5) b) f„(r,h)= -f(r,h) f, (3,5)

Q: Convert the polar point (3, 47T/3) to an equivalent polar point where r <0 and 0 <0 < 2T. O A.…

A: given polar form of a  point is                                                           P=3, 4π3…

Q: Suppose that f.(4, 5) = fy(4, 5) = 0 and frr(4, 5) fyy(4, 5) = [fry (4, 5)]². Then the second…

A:

Q: • If the lines of regression of Y on X and X on Y are respectively = 0 and a,x + b¡y + c, azx + b2y…

A:

Q: Find second partial derivatives of the function f(x, y, z) = 2exyz at the point xo = (-1,-7,3). (Use…

A:

Q: Use the graph of z = f(x, y) to determine the sign of each partial derivative of f at the point P. O…

A: Given query is to find the sign of the derivative.

Q: determine maximum/mininum local values and its saddle points for this function  f(x,y) = 3x^4 +…

A:

Q: This 2-variable function has exactly TWO critical points: y? f (x, y) 3 xy + 4 - One of them is (0,…

A: Let z = f(x,y) have continuous partial derivatives of first and second order  at every point of a…

Q: Determine the minimum and maximum values ​​of f(x, y, z) = x^2 +2y^2+ 3z^2 subject to restrictions…

A: Given function is fx,y,z=x2+2y2+3z2 subject to  x+y+z=1x-y+2z=2 Let  gx,y,z=x+y+z-1hx,y,z=x-y+2z-2…

Q: Draw a contour map of a continuous function with saddle point at (x,y) = (10,5) and local maximum at…

A: A saddle occurs at a low point between two higher grounds on either sides.  A local maximum is a…

Q: x+y For the function f (x,y) = x3 evaluate the partial derivative, ;f (x,y)

A:

Q: Assume that all the given functions have continuous second-order partial derivatives. ²+ s² and y If…

A: We use chain rule,

Q: Find the saddle point/s of the function f(x,y) = x + y² +x²y+4 O a. (E ,-1) & (- 2 -1) O b.(4,0) &…

A: Let's find.

Q: ai + a2 c(w1, w2, y) = w1X1+W2X2 = -aj [(a1 + a2)ag' W2 %3D

A: Given that  cw1,w2,y=w1x1+w2x2=α1+α2α1w1x1=α1+α2α2-α2α1+α2α2-α1α1+α2w1α1α1+α2w2α2α1+α2yA1α1+α2 The…

Q: use the chain rule to predict, (partial f / partial x) and (partial f / partial y) given that F(u,v)…

A:

Q: local maximum (x, y) = local minimum (x, y) = 5- 4 -5 -4 -B -2 -1 4 -2- 3 -5- 5 3. 3. 2. 4.

A: Local maximum: it is the highest value attained by the function in a given open interval. Local…

Q: Let f(x, y) = 9 + x In(xy - 5). Study this function near the point (3, 2). a) The partial…

A:

Q: Use the chain rule to find the indicated partial z = x4 + x²y, x = s + 2t - u, y дz дz дz дя дt ди…

A: Given,                           z=x4+x2y, x=s+2t-u, y=stu2. To find the partial derivatives i.e…

Q: af af Use the Chain Rule to evaluate the partial derivatives and at (u, v)= (-3,-3). ди ди f(x, y,…

A: We have  fx,y,z=x3+yz2x=u2+vy=u+v2z=3uv Now,…