solution_c8pdf - armington (kma786) 6.2 Stepp (55860) 1...

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Unformatted text preview: armington (kma786) 6.2 Stepp (55860) 1 This print-out should have 5 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points Find the volume, V , of the solid obtained by rotating the region bounded by y = 2 x , x = 2 , x = 4 , y = 0 about the x-axis. 1. V = 1 2. V = 1 4 3. V = 1 2 4. V = correct 5. V = 1 4 6. V = 1 2 Explanation: The volume of the solid of revolution ob- tained by rotating the graph of y = f ( x ) on [ a, b ] about the x-axis is given by volume = integraldisplay b a f ( x ) 2 dx . When f ( x ) = 2 x , a = 2 , b = 4 , therefore, V = integraldisplay 4 2 4 x 2 dx . Consequently, V = bracketleftbigg- 4 x bracketrightbigg 4 2 = . 002 10.0 points Find the volume, V , of the solid obtained by rotating the bounded region in the first quadrant enclosed by the graphs of y = x 2 , x = y 4 about the x-axis. 1. V = 7 15 cu. units correct 2. V = 5 12 cu. units 3. V = 7 15 cu. units 4. V = 1 2 cu. units 5. V = 5 12 cu. units 6. V = 1 2 cu. units Explanation: Since the graphs of y = x 2 , x = y 4 intersect at (0 , 0) and at (1 , 1) the bounded region in the first quadrant enclosed by their...
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solution_c8pdf - armington (kma786) 6.2 Stepp (55860) 1...

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