Find the absolute min/max of on the domain
Find the absolute min/max of on the domain f(,y) = x2 + y2 +r+y + 4...
5. Find the absolute max and absolute min of f(:1, y) = x2 + 2y2 – 2.0 – 4y on the rectangle (<r<2,0 <y<3.
Find the absolute maximum and minimum of the function f(x, y) -ry1 on the domain D (r, y),y 20, x2 +y2< 1) rty+1 Find the absolute maximum and minimum of the function f(x, y) -ry1 on the domain D (r, y),y 20, x2 +y2
Use Lagrange multipliers to find the min and max of f(x,y,z) = x2-y2+ 2z subject to the constraint x2 + y2 + z2 = 1.
1. Find the absolute maximum and minimum values of f(r,y) = x2+y2+5y on the disc {(x, y) | x2+y2 < 4}, and identify the points where these values are attained 2. Find the absolute maximum and minimum values of f(x, y) = x3 - 3x - y* + 12y on the closed region bounded by the quadrilateral with vertices at (0,0), (2,2), (2,3), (0,3), and identify the points where these values are attained. 3. A rectangular box is to have...
9. Find the relative and absolute max and min of the following functions a. f(x)=x'+x b, f(x) = Vx+4 64 c. f(x) = x3-2x2 + 5 d. f(x)- x2+4 9. Find the relative and absolute max and min of the following functions a. f(x)=x'+x b, f(x) = Vx+4 64 c. f(x) = x3-2x2 + 5 d. f(x)- x2+4
f(x, y) = x2 + y2 + 2xy + 6. 1- Find all the local extremas and 2) does the function f have an absolute max or min on R2
use Lagrange Multipliers to find absolute max & min values of the function f(x,y) with constraint X. y 2
Find the absolute minimum and absolute maximum values of the function f(x, y) = x2 + y2 – 2x – 2y + 12 on the triangular region R bounded by the lines x = 0, y = 0, and y = 5 – X. Explain your work step by step, in detail.
Cal 4 , ) and use this to 6. Let f(x,y) = x2 + y2 + 2x + y. (a) Find all critical points of f in the disk {(x,y) : x2 + y2 < 4). Use the second derivative test to determine if these points correspond to a local maximum, local minimum, or saddle point. (b) Use Lagrange multipliers to find the absolute maximum/minimum values of f(x, y) on the circle a2 +y -4, as well as the points...
8. Find the area of the surface given by z - f(x, y) over the region R. f(x,y)- 42-x2-y2, R = {(x,y): x2 +y2 29 8. Find the area of the surface given by z - f(x, y) over the region R. f(x,y)- 42-x2-y2, R = {(x,y): x2 +y2 29