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3 Pages

### 136Probs6.1

Course: MATH 136, Spring 2011
School: Rutgers
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Word Count: 360

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are These the problem statements for the suggested problems for 5.8. In general, you will get the problems from the textbook, but I will post questions until everyone has a textbook. 6.1: 1,3,5,9,12,13,15,19,24,31 6.1 #1 Sketch a representative vertical or horizontal strip and nd the area of the given regions bounded by the curves y y = x2 + 6x 5 3 3 = x 2 2 6.1 #3 Sketch a representative vertical or horizontal...

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are These the problem statements for the suggested problems for 5.8. In general, you will get the problems from the textbook, but I will post questions until everyone has a textbook. 6.1: 1,3,5,9,12,13,15,19,24,31 6.1 #1 Sketch a representative vertical or horizontal strip and nd the area of the given regions bounded by the curves y y = x2 + 6x 5 3 3 = x 2 2 6.1 #3 Sketch a representative vertical or horizontal strip and nd the area of the given regions bounded by the curves y y = sin 2x on [0, ] =0 6.1 #5 Sketch a representative vertical or horizontal strip and nd the area of the given regions bounded by the curves x = y 2 5y x =0 1 6.1 #9 Sketch the region bounded between the given curves and then nd the area of the region. y = x2 , y = x3 6.1 #12 Sketch the region bounded between the given curves and then nd the area of the region. y = 4x2 9, x = 3, x = 0, y = 0 6.1 #13 Sketch the region bounded between the given curves and then nd the of area the region. y = x4 3x2 , y = 6x2 6.1 #15 Sketch the region bounded between the given curves and then nd the area of the region. x = 2 y2 , x = y 6.1 #19 Sketch the region bounded between the given curves and then nd the area of the region. y = sin x, y = sin 2x, x = 0, x = 6.1 #24 Sketch the region bounded between the given curves and then nd the area of the region. y = ex , y = 1x 1 e + , x = 2, x = 2 2 2 6.1 #31 Imagine a cylindrical fuel tank of length L lying on its side; the ends are circular with radius b. Determine the amount of fuel in the tank for a given level by completing these steps: a. Explain why the volume of the tank may be modeled by b b2 y 2 dy V = 2L b 2 b. Explain why the volume of fuel at level h (b h b) may be modeled by h b2 y 2 dy V (h) = 2L b c. Finally, for b = 4 and L = 20, numerically compute V (h) for h = 3, 2, . . . , 4. Note: V (0) and V (4) will serve as a check on your work. 3
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Rutgers - MATH - 136
These are the problem statements for the suggested problems for 6.2. Ingeneral, you will get the problems from the textbook, but I will post questionsuntil everyone has a textbook.6.2: 1,5,7,9,13,15,20,25,31,35,41,42,55,596.2 #1 Sketch the given regio
Rutgers - MATH - 136
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