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Let R be the region in the first quadrant bounded by the circle x 2 + y

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Let R be the region in the first quadrant bounded by the circle x2 + y2 = r2 and the coordinate axes. Find the volume of a hemisphere of radius r in the following ways.

a. Revolve R about the x-axis and use the disk method.

b. Revolve R about the x-axis and use the shell method.

c. Assume the base of the hemisphere is in the xy-plane and use the general slicing method with slices perpendicular to the xy-plane and parallel to the x-axis.

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Hey, I have been teaching for the past 8 years. I started teaching in the summer of my freshmen year. With time, I came to know that I enjoy sharing knowledge with the other people. So, I dived deeper into the teaching line and have been teaching more actively for the past two years. I have appeared for the prestigious civil service examination of India and have cracked its first stage. I have tutored the aspirants for competitive exams. I believe that the most important quality as a teacher is to empathize with your student. Every student is unique so no same method works for everyone. It is about improvising the methods with each student. No feeling is greater than the happiness when a student understands the concept which he had been trying hard.
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Calculus Early Transcendentals

Calculus Early Transcendentals

ISBN: 978-0321947345

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Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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