Set up a sum of definite integral(s) that is equal to the volume of the solid whose base is R and whose cross-sections perpendicular to the x-axis as equilateral triangles.
Set up a sum of definite integral(s) that is equal to the volume of the solid whose base is R and whose cross-sections perpendicular to the x-axis as equilateral triangles.
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.
Chapter7: Integration
Section7.5: The Area Between Two Curves
Problem 7E
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Question
Answer d only
Transcribed Image Text:Given: region R below bounded by the graphs of y = √x - 3, y = 9 - x, and y = 0.
/x-
(7,2)
R
(3,0)
(9,0)
a. Find the area of R.
b. SET UP a (sum of) definite integral(s) that is equal to the arc length of the portion of
√x-3 which serves as a boundary of R.
the curve y
-
c. Use the WASHER METHOD to set up (a sum of) definite integral(s) that is equal to the
volume generated when R is revolved about the line x = 9.
d. Set up a sum of definite integral(s) that is equal to the volume of the solid whose base is
R and whose cross-sections perpendicular to the x-axis as equilateral triangles.
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