1 Find and classify the critical point(s) of the function f(x,y) = 2x2 + 3 (...
(a) Find and classify all of the critical points of the function X f(x, y, z) = (x2 +42 + x2)3/2 on the unit sphere. (b) Find and classify all of the critical points of the function f(x, y, z) = x sin(x2 + y2 +22) on the sphere of radius
consider the function f(x,y)=x^2-2xy+3y^2-8y (a)find the critical points of f and classify each critical point as local max min or saddle point (b) does f have a global max ?if so what is it ? does f have a global min ? if so what is it ?
(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 =
9y3 + 3x2y-6y + 2 . 3. Find and classify all the critical points of f(x,y) 9y3 + 3x2y-6y + 2 . 3. Find and classify all the critical points of f(x,y)
(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
#3 please!! 2. Given the function f(x, y)-x2 +y -2xy -6x - 2y 5, find the following: (a) Find the critical point(s) of the function. For full credit, show all the algebra to find these and give your answer as ordered pairs. (b) Find the second order partial derivatives and use these to find the determinant of each critical point. Then classify each critical point as a saddle point, relative minimum, or relative maximum point. 3. A wine dealer sells...
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)
3. The derivative of a function f(x) is given. Find the critical numbers of f(2) and classify each critical point as a relative maximum, a relative minimum, or neither. f (x) = x(2-x) 22+x+1
Classifying the critical points for f(x,y)-In( 2x2 + 3уг + 1) 10pts) Classifying the critical points for f(x,y)-In( 2x2 + 3уг + 1) 10pts)
(1 point) Find the critical numbers of the function f(x) = 2x3 + 6x2 - 48.. Answer (separate by commas): <= (1 point) List the critical numbers of the following function separating the values by commas. f(x) = 6x2 + 4 List the critical numbers of the following function in increasing order. Enter N in any blank that you don't need f(x) = 2x3 + 2x2 + 20