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(8 points) Find all critical points and classify them via the second derivative test. (a) f(x,y) = 2.ry+y – 3y - 2 (b) f(x,y) = ye" – y? - I
6. Find and classify all the critical points of the function
Let f(x,y)=1+x2−cos(5y). Find all critical points and classify them as local maxima, local minima, saddle points, or none of these.
Locate all critical points of f(x,y) and classify them as maxima, minima, saddle points or “none”.
6. Find and classify the critical points for 6. Find and classify the critical points for
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)
(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
2. Find and classify all critical points for f(x,y) = -22 + y? (x - 8)
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...
7 7. (20 points) Consider the system of nonlinear equations: a) The system has 4 critical points. Find them. b) One of the critical points is (-1, -1). Linearize the system at that point. c) Based on the linear system you derived in b), classify the type and stability of point (-1, -1). 7. (20 points) Consider the system of nonlinear equations: a) The system has 4 critical points. Find them. b) One of the critical points is (-1, -1)....