MATH 222 Midterm: MATH 222 KSU Test 2s00

• School: Kansas State University
• Department: Mathematics
• Course: MATH 222
• Professor: All

Document Summary

To receive credit you must show your work. (10) 1. Given that z = f (x, y) and x = u3 v3 , y = u + v . Suppose you know that at (x, y) = (0, 2) , to calculate values for. V at the point (x, y) = (0, 2) . Let f (x, y) = 12xy x2y y3 . Find and classify the critical points of f (x, y) . Use the method of lagrange multipliers to nd the maximum value and. 3x3 3x + y2 on the circle the minimum value for f (x, y) = 1 x2 + y2 = 16 . Evaluate the integral z zr xy da where r is the region in the rst quadrant enclosed by the parabolas 4y = x2 and 4x = y2 . First sketch the region of integration corresponding to the iterated. 1 + y2 dy dx and then reverse the order of integration and.