7. Find all maximum and minimum points, if any. Use the Test of your choice. 3...
7. Find all maximum and minimum points, if any. Use the Test of your choice. $(z)=(+2) -4 Answers: Maximum Points: (x, y): Minimum Points: (x, y):
5. Find the maximum and minimum points, if any. Use the Second Derivative Test. f(t)=-1? +60+4 Answers: Maximum Points: (x, y): Minimum Points: (x, y):
x²-7 Find all critical numbers of the function y=7-4,#4. Then use the second-derivative test on each critical number to determine whether it leads to a local maximum or minimum Select the correct choice below and fill in any answer boxes within your choice. O A. The local maxima occur at x = and the local minima occur at x = (Type an integer or simplified fraction. Use comma to separate answers as needed.) OB. The local maxima occur at x...
Find all points (x,y) where f(x,y) has a possible relative maximum or minimum f(x,y) = 2x3 + 2y2 - 24x - By Using only the first-derivative test for functions of two variables, find all the points that are possibly a relative maximum or a relative minimum (Type an ordered pair. Type an exact answer. Use a comma to separate answers as needed)
how to do part A B and C? Use Lagrange multipliers to find the maximum and minimum values of the function f subject to the given constraints g and h f(x, y, z)-yz-6xy; subject to g : xy-1-0 h:ỷ +42-32-0 and a) (i)Write out the three Lagrange conditions, i.e. Vf-AVg +yVh Type 1 for A and j for y and do not rearrange any of the equations Lagrange condition along x-direction: Lagrange condition along y-direction: Lagrange condition along z-direction: 0.5...
Find the critical points of the following function. Use the Second Derivative Test to determine if possible) whether each critical point corresponds to a local maximum, local minimum or saddle point. Contem your results with a graphing utility f(x,y) = x + xy-2) + 4y - 12 What are the critical points? (Type an ordered pair Use a comma to separate answers as needed.) Use the Second Derivative Test to find the local maxima. Select the correct choice below and,...
Find the absolute maximum and minimum values of f(x,y) = x + 3y2 + 3 over the region R = {(xY):x+6y's 4). Uso Lagrange multipliers to check for extreme points on the boundary. Set up the equations that will be used by the method of Lagrange multipliers in two variables to find extreme points on the boundary The constraint equation, g(x,y) uses the function g(x,y) - The vector equation is 10-10 Find the absolute maximum and minimum values of fixy)....
ative extrema Find the value(s) of any relative extrema Find the x-values of all points where the function has any re tox)-x-18x2-4 First find the derivative of f(x) Now find any critical numbers of t(x) (Use a comma to separate answers as needed) O B. There are no critical numbers of fx) in any answer boxes within your choice O A. O B. The function has a relative maximum of O C. 0 D. There are no relative extrema es...
#10 and #12 8. Find all points (.y) where fCx.y) -3x2 + 7xy -4y2 + x + y has possible relative maximum or minimum values 9. Find all points (x,y, z) where f(x,y,z) 5+ 8x 4y+x2+y2 z2has possible relativema imun or minimum value 10. Both first partial derivatives of f(x.y)-x-4xyy are zero at the points (0 11. Find all points (x,y) where f(e.y) 2x2+3xy + 5y has possible relative maximum or minimum values. Then, use the 12. Use the second...
Find all points (x,y) where f(x,y) has a possible relative maximum or minimum. f(x,y) = 9X4 – 12xy + 2y2 - 4 What are all the possible points? (Type an ordered pair. Use a comma to separate answers as needed.)