73 Optimizing Functions of Several Variable Problem 6 Previous Problem List Next (2 points) Consider the function f(x,...
I need help with this question, thank you! (1 point) Consider the function f(x, y) = e-4x-x?+8y=y2. Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fx = fy= fxx fxy fyy = The critical point with the smallest x-coordinate is ) Classification: ( (local minimum, local maximum, saddle point, cannot be determined) The critical point with the next smallest x-coordinate is ) Classification: ( (local minimum,...
Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank The critical point with the smallest x-coordinate is (local minimum, local maximum, saddie point, cannot ) Classification be determined) The cnitical point with the next smallest x-coordinate is Classification "(local minimum, local maximum, saddle point cannot be determined) is ) Classification (local minimum, local maximum, saddle point cannot Find and classify all critical points of the function. If...
73 Optimizing Functions of Several Variable- Problem 8 Previous Problem List Next (1 point) Find A and B so that f(x, y) = x2 +Ay y +B has a local minimum at the point (0, 1) with z-coordinate 30. A 73 Optimizing Functions of Several Variable- Problem 8 Previous Problem List Next (1 point) Find A and B so that f(x, y) = x2 +Ay y +B has a local minimum at the point (0, 1) with z-coordinate 30. A
2. For the two-argument function defined below: f(x,y) = 2x2 – 8xy + 5y + 3y2 (a) Find fx = and fex = . (5 marks) (b) Find fy = and fyy (5 marks) (c) Determine the critical point(s) of the f(x,y). (8 marks) (d) Find fxy (3 marks) (e) Determine each of the critical point(s) in the above (c) whether is a local minimum, local maximum or saddle point by using second partial derivative test. (4 marks)
pls solve like example Assign 7.3.25 Find all local extrema for the function f(x,y) = x3 - 12xy + y. Find the local maxima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. There are local maxima located at (Type an ordered pair. Use a comma to separate answers as needed.) OB. There are no local maxima. Question Hel Find all local extrema for the function f(x,y)=x°-21xy+y3. The function will have local...
Given a two-variable function f(x, y), if P(x0,yo) is a critical point, then the behavior of f around P can be approximated by its second order terms according to Taylor series, that is, f(x,y) = f(P) + F(x – xo)?H (x, y) , where H(x, y) = fyy(P)(=%)2 + 2 fxy(P) (?=%) + fxx(P). (a). If H(x, y) > 0 for all x,y, is P a local max, local min or saddle point? (b). Let s = (4=90). Then, H(x,...
(17) Consider the function f that is given by f(x, y)-2y +e Find all its critical points and classify each one as a local maximum, local minimum, or saddle point (17) Consider the function f that is given by f(x, y)-2y +e Find all its critical points and classify each one as a local maximum, local minimum, or saddle point
please show work, im so lost on all of these Given f(x, y) = 4x 5xys + 3y?, find f(x,y) = fy(x, y) = f(x, y) = 5x2 + 4y? $2(5, - 1) = Given f(x, y) = 4x2 + xy 4x² + xys – 67%, find the following numerical values: $:(3, 2) = fy(3, 2) = Given f(x, y) = 3x4 – 6xy2 – 2y3, find = fry(x, y) = Find the critical point of the function f(x, y)...
Problem 5. Find saddle points of f(x,y)y sin(a/3). 82+88y6 a local Problem 6. At what point is the function f(x, y) minimum? Problem 7. Use Lagrange multipliers to find the maximum and the minimum of f(x, y) -yz on the sphere centered at the origin and of radius 3 in R3 Problem 5. Find saddle points of f(x,y)y sin(a/3). 82+88y6 a local Problem 6. At what point is the function f(x, y) minimum? Problem 7. Use Lagrange multipliers to find...
(1 point) Consider the function f(x, y) = e-8x=x2-4y—y2 Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fx = fxx = fxy =