Draw the level curve for z = f(x, y) for each of the values listed below. Label each level curve with the corresponding z-value. (That is, write “z = 2" next to the level curve for z = 2.) • z = 2 z = 0 = -2 • z = 1 z = -1

Q: Where is the function y=(x−5) 3 concave down?

A:

Q: Decide if the following functions are linearly independent in the interval (-00, 00) f1(2) = 1+r,…

A:

Q: The graph of the linear function f(x) passes through the point (x, y) = (1, m), where m is the slope…

A: Given:Graph of f(x) passes through the point (x, y) = (1, m), where m is the slope of the line.

Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.…

A:

Q: f (x) = Vx² – 4.

A:

Q: S(x1, x2) = (3x1 + 2x2, x2, x1x2) is not linear. What are the parts of the function that cause the…

A:

Q: Examine the function f(x, y) =-3x-4y+15x - 16y + 6 for relative extrema.

A: Here we have to find relative maximum.  The solution is in both 1st and second steps.

Q: Find the interval(s) where the function y = x – 2x² – 7x + 2 is concave down. Justify your answer.

A: Find the double derivative of y and then equate it to zero.

Q: Consider the function y = f(x) = 4x2+2x+7. Using only the table method, estimate f ′(2)

A: estimate  f'(2) =18

Q: Find the directional derivative of f at the point (1,2) in the direction of the vector v = = (1, 3).

A:

Q: Find the linear function f(x) passing through (6,8) and (8,10) Enter answer in form…

A: Explanation of the answer is as follows

Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

A: Given  f(x,y)=8x-2y+5 Find:f(2,-1) Substituting x=2 and y=-1 in the given equation, we get  f(2,…

Q: Let f(x,y) = 3x + 3xy, find f(0, - 3), f( − 3,2), and f(3,2). f(0, -3)= (Simplify your answer.)

A: f(0,−3)=1

Q: F(x,y)=xy+3 find and sketch the domain

A: our objective is to find and sketch the domain of  F(x,y)=xy+3.

Q: Linearize the function f(x) = x3 + 2x + 4 at a = 3.

A: To linearize a function  at certain point x=a , first we need to evaluate the function value at a (…

Q: If f(x,y) = 2x2-5xy+y?, find the value of f(1,2). A -2 -3 -4 D -5 B.

A: f(x,y)=2x2-5xy+y2

Q: Find the domain of the function f(x) = V-a? 3x + 4

A: