Name ID MATH 251 Quiz 4 Sections 509 Spring 2007 P Yasskin 1 3 15 4 10 Total 25 Multiple Choice 5 points each 1 The point 1 2 is a critical point of f x y 2x x 2 4y y 2 Use the Second Derivative Test to classify 1 2 as one of the following a Local Minimum b Local Maximum c Inflection Point d Saddle Point e Test Fails 2 Find the volume of the solid below the surface z xy above the region between the curves y x 2 y 0 and x 2 a 64 b c d e 3 32 3 16 3 8 3 4 3 1 3 Reverse the order of integration in the integral a 2 4 0 x 2 x2 16 b 0 0 c 0 x 2 4 2 0 0 e 0 0 x2 3 y 4 ex ex x2 16 d 2 ex ex ex ex 3 y 4 dx dy dy dx dy dx 4 y 3 3 y 4 y dy dx 3 y 4 4 y 3 4 0 0 dy dx dy dx 4 10 points Find the mass and x component of the center of mass of the plate in the first quadrant bounded by y 3 x the x axis and the y axis if the surface density is y Solve on the back of the Scantron 2
View Full Document
Unlocking...