f (x, y) = x² In(1+x² + y²)

Q: What is the gradient of the function f(x) = -x² %3D A -x? E -2x C 2x H -1 1

A:

Q: (a) z = x² + y² – 4x in P(1,2) (b) z = yln(x +y) in P(-3,4) %3D

A: a) Compute the gradient of z=x2+y2-4x in P1,2 as follows: It is known that the gradient is…

Q: O {1, z+ 3, 2a, sinz In 2,1

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 9. Determine an expression for the gradient of f =Y x+y

A:

Q: Find the gradient of the following function. 3 f(x, у) %3 5x° - ху Vf(x, y) =

A: Gradient of f(x,y) is given by∇f(x , y) = i⇀ ( fx ) + j⇀( fy )

Q: 3) f(x, y) = -9 sin x-5 cos y at (0, 5 (0,7) A) L(x, y) = 9x - 5y - C) L(x, y) = -9x - 5y - 5 B)…

A: We have to find the linear approximation of the given function.

Q: Find the gradient of the functions below a)f(x, y) = In Vx? + y?

A: Here we will find out the required value.

Q: Find the gradient function for: 21y-

A:

Q: Consider a firm's profit when effort "e" is observable. The firm's cost includes the cost of…

A: We have to find firms total cost and then subtract that from total revenue to get firms profit .

Q: Sketch the graph of y=2x² - 8x. a

A: