Math+22+-+Final+Review+Answers+-+Winter+11

Math+22+-+Final+Review+Answers+-+Winter+11 - 4.)(a.) max....

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Math 22 - Final Review Answers - Winter 11 1.)(a.) local min. value of - 11 at ( - 4 , 1) (b.) local max. value of 125 27 at ( - 5 3 , 0) local min. value of 0 at (0 , 0) saddle points at ( - 1 , 2) and ( - 1 , - 2) (c.) local max. value of 1 at (1 , 1) saddle points at (0 , 0), (0 , 3), and (3 , 0) (d.) local min. value of 0 at (1 , 1) and ( - 1 , - 1) saddle point at (0 , 0) (e.) saddle points at ( - 1 , 1) and (1 , - 1) 2.)(a.) absolute max. value of 2 at (1 , 0) and (3 , 2) absolute min. value of - 2 at (1 , 4) and (5 , 0) (b.) absolute max. value of 7 at (1 , 1) and ( - 1 , 1) absolute min. value of 4 at (0 , 0) 3.) length = width = 40 cm, height = 20 cm
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Unformatted text preview: 4.)(a.) max. value of 4 at (2 , 1) and (-2 , 1) min. value of-4 at (2 ,-1) and (-2 ,-1) (b.) max. value of 70 at (1 , 3 , 5) min. value of-70 at (-1 ,-3 ,-5) (c.) max. value of 1 + 2 2 at (1 , 2 ,- 2) min. value of 1-2 2 at (1 ,- 2 , 2) 5.)(a.) 2 15 (2 2-1) (b.) 2 ln(2)-1 (c.) 1 2 (1-cos(1)) (d.) 147 20 (e.) 3 10 6.)(a.) 1 6 ( e 9-1) (b.) 2 3 ln(3) 7.) 2 sin(9) 8.) 8 9.) 81 10.)(a.) 65 28 (b.) 16 3 (c.) 1 144...
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