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Show all necessary work in your solutions. Problem 1 (14 points): Determine the area of the region in the first quadrant bounded by y =

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Show all necessary work in your solutions. Problem 1 (14 points): Determine the area of the region in the first quadrant bounded by y = x2, y = 2x + 3, and the y-axis. (show necessary details including the calculation of the integral) Problem 2 (16 points): Use the washer method to find the volume of the solid of revolution bounded by y= Vx , y = 0, y = 3, and the y-axis, and rotated around the x-axis. (show necessary details including the calculation of the integral)

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