Name IDMATH 251 Quiz 4 Spring 2007Sections 509 P. Yasskin1-3 /154 /10Total /25Multiple Choice: (5 points each)1.The point(1,2)is a critical point of f(x,y)=(2x − x2)(4y − y2).Use the Second Derivative Test to classify(1,2)as one of the following:a.Local Minimumb.Local Maximumc.Inflection Pointd.Saddle Pointe.Test Fails2.Find the volume of the solid below the surface z = xy above the region between the curvesy = x2, y = 0 and x = 2.a.643b.323c.163d.83e.4313.Reverse the order of integration in the integral∫04∫0yex3+y4dxdya.∫02∫x24ex3+y4dydxb.∫016∫0x2ex3+y4dydxc.∫02∫x24ex4+y3dydxd.∫016∫0x2ex4+y3dydxe.∫02∫0x2ex3+y4dydx4.(10 points) Find the mass and x-component of the center of mass of the plate in the firstquadrant bounded by y = 3 − x, the x-axis and the y-axis if the surface density is ρ = y.Solve on the back of the
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