Math 3470 Math 3470 1. (20 points) Use Lagrange Multipliers to find the extreme values of f(x,y) = xy with the constrain

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Math 3470 Math 3470 1 20 Points Use Lagrange Multipliers To Find The Extreme Values Of F X Y Xy With The Constrain 1 (109.83 KiB) Viewed 42 times

Math 3470 Math 3470 1. (20 points) Use Lagrange Multipliers to find the extreme values of f(x,y) = xy with the constraint 2x + 2y = 5. Math 3470 3. (20 points) Evaluate the integral dinates. 2. (20 points) Evaluate the integral JS 4rd A where D is the region bounded by y = 4 - ², x = 0, and y = 3x. Math 3470 Math 3470 Exam 3- Page 2 of 6 change of variables r Exam 3 Page 3 of 6. = u and y Exam 3- Page 4 of 6 11₁² [V²=* 1 √1+x² + y² Exam 3 Page 5 of 6 4. (20 points) Find the center of mass of the lamina with the density function p(x,y)=√x defined on the region bounded by y = r² and y = √√r. 10/29/15 Exam 3- Page 6 of 6 10/29/15 dady by converting to polar coor- = u + v to compute the integral 10/29/15 5. (20 points) Let D be the region bounded by y=x+2, y = x+3₁ = 1 and 2 = 2. Use the 1 dA xy 10/29/15 10/29/15