Homework 12-problems

Homework 12-problems - hernandez(ah29758 – Homework 12...

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Unformatted text preview: hernandez (ah29758) – Homework 12 – knopf – (55420) 1 This print-out should have 18 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. This exam covers material from Sections 8.2, 8.3, and 8.4. 001 10.0 points The shaded region in π 2 π 3 π 2 x y is bounded by the graph of f ( x ) = 4 sin 3 x on [0 , 3 π/ 2] and the the x-axis. Find the area of this region. 1. area = 12 π 2. area = 6 3. area = 6 π 4. area = 12 5. area = 8 6. area = 8 π 002 10.0 points Evaluate the integral I = integraldisplay π/ 2 3 sin 3 x cos 2 x dx . 1. I = 6 5 2. I = 2 5 3. I = 8 5 4. I = 1 5 5. I = 4 5 003 10.0 points Evaluate the integral I = integraldisplay π/ 4 4 cos x + 6 sin x cos 3 x dx . 1. I = 10 2. I = 1 3. I = 7 4. I = 5 2 5. I = 11 2 004 10.0 points Evaluate the integral I = 2 integraldisplay π √ 1 + cos θ dθ . Hint: use a double angle formula to express 1 + cos θ in terms of cos 2 ( θ/ 2). 1. I = 4 √ 6 2. I = 2 3. I = 2 √ 2 hernandez (ah29758) – Homework 12 – knopf – (55420) 2 4. I = 4 5. I = 2 √ 6 6. I = 4 √ 2 005 10.0 points Find the value of I = integraldisplay π/ 4 3 tan 4 x dx ....
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This note was uploaded on 09/01/2011 for the course PHY 303 taught by Professor Erskine/tsoi during the Spring '08 term at University of Texas.

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Homework 12-problems - hernandez(ah29758 – Homework 12...

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