Suppose f(x,y)=xy(1−10x−4y)f(x,y)=xy(1−10x−4y).
f(x,y)f(x,y) has 4 critical points. List them in increasing
lexographic order. By that we mean that (x, y) comes before (z, w)
if x<zx<z or if x=zx=z and y<wy<w. Also, determine
whether the critical point a local maximum, a local minimim, or a
saddle point.
First point (____________,__________)
Classification:
Second point(__________,__________)
Classification:
Third point (___________,_________)
Classification:
Fourth point (__________,_________)
Classification:
Suppose f(x,y)=xy(1−10x−4y)f(x,y)=xy(1−10x−4y). f(x,y)f(x,y) has 4 critical points. List them in ...
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)...
QUESTION 7 Find all the critical points for f(x,y)=-x® + 3x - xy and classify each as a local maximum, local minimum or a saddle point. (9 marks)
73 Optimizing Functions of Several Variable Problem 6 Previous Problem List Next (2 points) Consider the function f(x, y) = e Ax-x2-6-y Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank fx = fy = fix fxy - fyy The critical point with the smallest x-coordinate is | (local minimum, ) Classification: local maximum, saddle point, cannot be determined) The critical point with the next smallest x-coordinate...
Let f(x,y) = 4 + x² + y² – 3xy f has critical points at 10,0) and (1,1) use the second derivative test to classify these points as local min, local max, or saddle point
This two-variable function has exactly two critical points, including the origin: 43 13 f(x,y) = xy - Q17.1 FR 5 Part (a) 4 Points Find the second critical point, other than (0,0). Please select file(s) Select file(s) Q17.2 FR 5 Part (b) 4 Points Classify the critical point (0,0) as a local min, local max, or saddle point, using the (multivariate) second-derivative test.
Help! Please do both of them with detailed explanation Find and classify the critical points of z- 28) ( -3y) Local maximums: Previevw Local minimums: Preview Saddle points: Preview For each classification, enter a list of ordered pairs (r, y) where the max/min/sac Get help: Video Points possible: 1 This is attempt 1 of 3. Submit Due in 9 Suppose that f(z, y) yy3 3y with D (, y) | 0 y 3) 1. The critical point of f(z, y)...
4. Let f(x, y) = 2 - 2x – y + xy. (a) Find the directional derivative of f at the point (2,1) in the direction (-1,1). [2] (b) Find all the critical points of the function f and classify them as local extrema, saddle points, etc. [2]
(1 point) Consider the function f(x, y) = 4x+ + 8y. List all critical points of f(x, y). If there are none, enter "none". If there is more than one, enter a comma-separated list of ordered pairs, e.g., "(1,2), (3,4). (5,6)" Critical points are List all critical points of f(x,y) which are local maxima. If there are none, enter "none". If there is more than one, enter a comma-separated list of ordered pairs, e... "(1,2), (3,4), (5,6) Local maxima occur...
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,...
Apply a second derivative to identify a critical points as a local maximum, local minimum or saddle point for a function. Find the critical point of the function: f(x, y) = 7 + 6x - 2? + 3y + 4y? This critical point is a: Select an answer