Math 160 Exam 1 Sample Questions - 1(Ch 6 Compute the...

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Calculus
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Chapter 7 / Exercise 40
Calculus
Stewart
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1. (Ch 6) Compute the volume of a right circular cone with height and base of radius 𝑟 in two ways: a. Using discs b. Using shells 2. (Ch 6) A bike tire inner tube, fully inflated, has diameter of 30 inches across the tube and circumference 2 𝜋 around the tube. How many cubic inches of air are in the tire? (Use calculus to compute the volume) 3. (Ch 6) Discribe in words the three ways of computing volumes of solids, 1) by definition, 2) by disc/washers, 3) by shells. How do the methods compare? What is the same or different about each of them? 4. (Ch 6) a. Compute the volume of the solid of revolution created by rotating the region bounded by the curves ? = ? , ? = −? and ? = 𝑏 (for some constant 0 ≤ 𝑏 ≤ 2 ) revolved about the line ? = 2 , using washers. b. Find the volume of solid of rotation when we revolve the same region about the line ? = 1 using shells. ,
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Calculus
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Chapter 7 / Exercise 40
Calculus
Stewart
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