MATH 103 Midterm: MATH 103 UPenn 103Exam2
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MATH 103 Midterm: MATH 103 UPenn 103Exam2
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A correct answer without supporting work receives little or no credit! 3 dxdy = (b) 1 e (f) 1. 3 (e 1: the function f (x, y) = x2 4x + y3 3y has two critical points. Find the equation for the plane tangent to this surface at (x, y, z) = ( 1, 1, 1) and determine where the plane intersects the y-axis. The plane intersects the y-axis at y = (a) 3 (e) 1 (d) 3 (h) 6 (b) 3 (f) 3. 2 (c) 6 (g) 1: find the maximum of the function f (x, y, z) = x + y + z on the surface whose equation is 2x2 + 3y2 + z2 = 24. Maximum= (a) 3 11 (e) (b) 2 11 (f) 66 (c) 11 (g) 6. 66: there are 3 red balls, 2 green balls and 1 yellow ball in a jar.
