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review1 - Version 063 Review 1 Zheng(58355 This print-out...

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Version 063 – Review 1 – Zheng – (58355) 1 This print-out should have 19 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points When f has graph R 1 R 2 a b c express the value of I = integraldisplay c a braceleftBig 3 f ( x ) + 2 | f ( x ) | bracerightBig dx in terms of the areas A 1 = area( R 1 ) , A 2 = area( R 2 ) of the respective lighter shaded regions R 1 and R 2 . 1. I = - 5 A 1 + A 2 2. I = - A 2 3. I = 5 A 1 4. I = 5 A 1 - A 2 5. I = - 5 A 1 - A 2 6. I = 5 A 1 + A 2 002 10.0 points Determine F ( x ) when F ( x ) = integraldisplay x 3 8 sin t t dt . 1. F ( x ) = - 8 cos x x 2. F ( x ) = - 8 cos x x 3. F ( x ) = - 8 cos( x ) x 4. F ( x ) = 4 cos( x ) x 5. F ( x ) = 4 sin x x 6. F ( x ) = 8 sin x x 7. F ( x ) = - 4 sin( x ) x 8. F ( x ) = 4 sin( x ) x 003 10.0 points A particle moving along a straight line has velocity v ( t ) = 2 sin t - 7 cos t at time t . Find the position, s ( t ), of the particle at time t if initially s (0) = 3. (This is the mathematical model of Simple Harmonic Motion .) 1. s ( t ) = 5 - 2 cos t - 7 sin t 2. s ( t ) = - 4 - 2 sin t + 7 cos t 3. s ( t ) = 5 - 2 cos t + 7 sin t 4. s ( t ) = 1 + 2 cos t - 7 sin t 5. s ( t ) = 10 - 2 sin t - 7 cos t 6. s ( t ) = 10 + 2 sin t - 7 cos t
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Version 063 – Review 1 – Zheng – (58355) 2 004 10.0 points Evaluate the definite integral I = integraldisplay 4 0 ( 5 x - 3 x ) dx .
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