2. Let R be the region below enclosed by the curves z = 2 − y², y = − sin (772), and x = -1, as shown below. Set up (and do not simplify) the (sum of) definite integral(s) equal to the following quantities. (-1,√3) (-1,1) R -1 1 (1,-1) (a) Area of R using vertical rectangles (b) Volume of the solid generated when R is revolved about the line x = 2 using the method of washers -

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.1PS
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2. Let R be the region below enclosed by the curves z = 2 − y², y = − sin (772), and
x = -1, as shown below. Set up (and do not simplify) the (sum of) definite integral(s)
equal to the following quantities.
(-1,√3)
(-1,1)
R
-1
1
(1,-1)
(a) Area of R using vertical rectangles
(b) Volume of the solid generated when R is revolved about the line x = 2 using the
method of washers
-
Transcribed Image Text:2. Let R be the region below enclosed by the curves z = 2 − y², y = − sin (772), and x = -1, as shown below. Set up (and do not simplify) the (sum of) definite integral(s) equal to the following quantities. (-1,√3) (-1,1) R -1 1 (1,-1) (a) Area of R using vertical rectangles (b) Volume of the solid generated when R is revolved about the line x = 2 using the method of washers -
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