The Washer Method: Try it! Sketch the region in the first quadrant bounded by T the lines f (x) = 4 and g(x): =x. 1. Imagine rotating this region about the x-axis. Sketch the solid of revolution. 2. When the disk has a hole in the center, it is referred to as a washer. Think of it as a disk with another disk -3 cut out of it. What is the volume of the outer disk? -2- What is the volume of the inner disk (the cut-out)? -4 -3 -2 -1 1 6 8 9 10 -1- -2 -3 -4 -5 3. Set up the integral that calculates the volume of this solid. -6 -7 Submit

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Find the center of mass and the moment of inertia about the y-axis for a thin rectangular plate cut from the first quadrant by the lines x=6 and y = 1 if 8(x,y) = x+3y + 1. What are the coordinates of the center of mass? X y= (Type an integer or a simplified fraction.) D