ALL STEPS SHOWN
ALL STEPS SHOWN
ALL STEPS SHOWN
ALL STEPS SHOWN
ALL STEPS SHOWN ALL STEPS SHOWN ALL STEPS SHOWN ALL STEPS SHOWN 4. Find all critical points and the nature of the point...
Cal 4
, ) and use this to 6. Let f(x,y) = x2 + y2 + 2x + y. (a) Find all critical points of f in the disk {(x,y) : x2 + y2 < 4). Use the second derivative test to determine if these points correspond to a local maximum, local minimum, or saddle point. (b) Use Lagrange multipliers to find the absolute maximum/minimum values of f(x, y) on the circle a2 +y -4, as well as the points...
For the following piecewise-defined function f. find the critical numbers, local extreme values, and absolute extreme values on the closed interval 6, 90 20r109 if 6<214 f(z) 14< <18 8 87 if 18 < z<90 10+237 if Critical number(s) Preview Local minimum value(s) Preview Local maximum value(s) Preview Absolute minimum value: Preview Absolute maximum valug: Preview Points possible: 1 This is attempt 1 of 2. Submit For the following piecewise-defined function f. find the critical numbers, local extreme values, and...
Find the critical points of the following functions. Use the Second Derivative Test to determine (if possible) whether each critical point corresponds to a local maximum, local minimum, or saddle point. f(x, y) = e-X2-y2-2x
do 9
e it with the actual change. k, find vectors u, o, such that the three dicular local critical points of the function f(z, y) = x2 +y2-2x + 1; 1y Is a local minimum, local maximum, or saddle point. em 8. Where is the tangent plane horizontal for the surface Find the largest possible volume of the rectangular box in the first t with Problem 9 three faces in the coordinate planes and one vertex in the plane...
2. For each function, find all critical points and use the Hessian to determine whether they are local maxima, minima, or saddle points. (a) f(x,y,z) = x — 2 sin x – 3yz (b) g(x, y, z) = cosh x + 4yz – 2y2 – 24 (c) u(x, y, z) = (x – z)4 – x2 + y2 + 6x2 – 22
(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
1. Find all critical points for the given function and classify each as a local maximum, local minimum, or saddle point. a) f(x,y)= 2 +2y2-2xy + 4x-6y-5 b) f(z, y) = 813 + 6xy2-24r2-6y2 + 4 d) f(x,y) = cosx cos y,-r<1<T,-π < y < π
1. Find the absolute maximum and minimum values of f(r,y) = x2+y2+5y on the disc {(x, y) | x2+y2 < 4}, and identify the points where these values are attained 2. Find the absolute maximum and minimum values of f(x, y) = x3 - 3x - y* + 12y on the closed region bounded by the quadrilateral with vertices at (0,0), (2,2), (2,3), (0,3), and identify the points where these values are attained. 3. A rectangular box is to have...
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)...
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Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) y2 - 3y + 9 Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (If an answer does not exist, enter DNE.) rx) = 1 + (x + 2)2-45x<6 absolute maximum value absolute minimum value local maximum value local minimum value...