Maxima/Minima Problems

Exercise4.7

Calculus 3

J Question 3 B 0.78/1 pt '08 Let at, 3;) = 3:2 + 2y4 + 32333;. List the critical points: (0,0) v The critical point at the origin is a saddle pit -. 7.. The critical point with positive a: value is a _i_imum _V. Y.' X Question 10 B 0/1 pt '0 97 Z 99 6) Details Find the absolute extrema of the function ns, 3;) = 4332 + 3mg + 2:92 + a: 2y + 4 on the domain defined by2 g :1: 3 Sand 3 g y S 5. Round answers to 3 decimals or more. Absolute Maximum: 0.244 x Absolute Minimum: 0.244 x 0 Question 7 6/ 0/1 pt '0 100 Z 99 G Details Suppose that f(:c,y) = e'2w2_292+\"_y 0 Question 8 E 0/1 pt '0 100 Z 99 Q Details Suppose that f(w, y, z) = a; + y + 32 at which :32 + y2 + Z2 3 32. 1. Absolute minimum of f(:n, y, z) is :] 2. Absolute maximum of f(a;, y, z) is 0 Question 9 E.' 0/1 pt '0 100 8 99 G Details 2 Suppose that an, y) = a: my + y2 2:5 + 2y with x2 + 3/2 g 4. 1. Absolute minimum of f(:c, y) is 7211 PM Mon Dec 21 '7' 19% E} E myopenmathcom 0 Question 4 B 0.33/1 pt '0 99-100 2 99 G) Details Find and classify the critical points of z = ($2 69:) (y2 3y). For each classification, enter a list of ordered pairs (x, y) where the max/min/saddle occurs. Enter DNE if there are no points for a classification. Question Help: El Video 0 Question 5 80/1 pt '0 100 2 99 G) Details Suppose that f(w, y) = $2 + y2 at which 0 g m, y and 3m + 9y E 6. 1. Absolute minimum of f(:z:, y) is :] 2. Absolute maximum of f(:1,',y) is 0 Question 6 30/1 pt '0 100 2 99 G) Details Find the absolute maximum and minimum of f(z, y) = 5x + y within the domain $2 + y2 g 1. 1. Absolute minimum of f(:c, y) is :] 2. Absolute maximum of f(:1,',y) is Question Help: El Video myopenmath.com v Question 1 a 0.67/1 pt '0 92-99 2 99 G) Details Find the values of w, y and 2 that correspond to the critical point of the function: f(% y) = 2:02 + 1x + By + 5312 Enter your answer as a number (like 5, -3, 2.2) or as a calculation (like 5/3, 2A3, 5+4). 1 w=_ 66 3 _- 0' z= 5.525 x Question Help: El Video 0 Question 2 E 0/1 pt '0 100 8 99 CD Details Suppose that ag, 3;) = 64\"2_3y2+3\"+6y then find the discriminant of f