(1,2) (b) Set up a definite integral that is equal to the arc length of the portion of the circle (y-2)² + x = 1 which serves as a boundary of R. (c) Use the WASHER METHOD to set up a (sum of)
(1,2) (b) Set up a definite integral that is equal to the arc length of the portion of the circle (y-2)² + x = 1 which serves as a boundary of R. (c) Use the WASHER METHOD to set up a (sum of)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 45E
Related questions
Question
3. B only
Transcribed Image Text:cos x
1. If F(x)
(√t - 1)' dt, find F'(x).
sin r
2. Evaluate:
Lek
elx-1| dx
3. Let R be the region below bounded by y² + x² = 9 and (y-2)² + x = 1.
(0,3)
(1,2)
(-3,0)
(a) Set up a (sum of) definite integral(s) with
respect to r that is equal to the area of R
(b) Set up a definite integral that is equal to the arc
length of the portion of the circle (y-2)²+x= 1
which serves as a boundary of R.
(c) Use the WASHER METHOD to set up a (sum of)
definite integral(s) that is equal to the volume of
the solid generated when R is revolved about the
line x = -3.
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