a) Calculate the maximum MaxDisk value of the function f (x,y) = 9 ln * (x^2+(1+1)y^2+(0.5+0.5))...

a) Calculate the maximum MaxDisk value of the function f (x,y) = 9 ln * (x^2+(1+1)y^2+(0.5+0.5)) on the circle disk with the center of origin and radius 4.

b) Also calculate the maximum the value MaxBorder that the function assumes on the border.

Solutions

Expert Solution

milcah answered 1 year ago

Next > < Previous

Related Solutions

Find the absolute maximum value and the absolute minimum value of the function f(x,y) = (1+x^2)(1−y^2)...

Find the absolute maximum value and the absolute minimum value of the function f(x,y) = (1+x^2)(1−y^2) on the disk D = {(x,y) | x2+y2⩽1}?

1. The function f(x, y) = ln(x3 + 2) / (y2 + 3) (this function is...

1. The function f(x, y) = ln(x3 + 2) / (y2 + 3) (this function is of a fraction format) : a. has a stationary point at (1, 0) b. has a stationary point at (0, 0) c. has a stationary point at (0, 1) d. has no stationary points 2. Which of the following functions don’t have unit elasticity at P = 6? a. Demand: Qd = 24 - 2 P b. Demand: Qd = 10/P c. Demand: log...

Find the maximum of f(x,y)=9-x^2-y^2 subject to x+y=3

What is the minimum value of the function f(x)= (ln x) ^ln x for x >...

What is the minimum value of the function f(x)= (ln x) ^ln x for x > 1? A.) 1/e B.) 0 C.) e^-e^-1 D.) 1 E.) (ln 2) ^ln 2

7. Find the maximum and minimum of the function. f (x, y) = x^ 2 +...

7. Find the maximum and minimum of the function. f (x, y) = x^ 2 + y^ 2 − xy − 3x − 3y on the triangle D ={(x, y)| x ≥ 0, y ≥ 0, x + y ≤ 4}

Find the maximum and minimum of the function f(x, y, z) = (x^2)(y^2)z in the region...

Find the maximum and minimum of the function f(x, y, z) = (x^2)(y^2)z in the region D = {(x, y, z)|x^2 + 2y^2 + 3z^2 ≤ 1}.

An individual's utility function is U= (X+1)0.5 (Y+2)0.5

An individual's utility function isU= (X+1)0.5 (Y+2)0.5(a) By implicit differentiation, find the slope of any indifference curve and show that it is given by the ratio of marginal utilities of the two goods.(b) Find the indifference curve for U= 6 and show that it is negatively sloped and convex. Does the indifference curve cut the axes? What does this imply about this individual's tastes?

(6) Consider the function f(x, y) = 9 − x^2 − y^2 restricted to the domain...

(6) Consider the function f(x, y) = 9 − x^2 − y^2 restricted to the domain x^2/9 + y^2 ≤ 1. This function has a single critical point at (0, 0) (a) Using an appropriate parameterization of the boundary of the domain, find the critical points of f(x, y) restricted to the boundary. (b) Using the method of Lagrange Multipliers, find the critical points of f(x, y) restricted to the boundary. (c) Assuming that the critical points you found were...

Find the global maximum and global minimum of the function f(x, y) = y^2 − 2xy...

Find the global maximum and global minimum of the function f(x, y) = y^2 − 2xy + 4y on the square 1 ≤ x ≤ 3, 0 ≤ y ≤ 2.

Find the absolute maximum and minimum values of the function f(x, y) = x^2 + ((4/3)...

Find the absolute maximum and minimum values of the function f(x, y) = x^2 + ((4/3) y^3) − 1 on the disk x^2 + y^2 ≤ 1.

Subjects