5. Locate the coordinates of the centroid of the first quadrant area bounded by the parabolas y = 4 – x2 and y =8x. %3D

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.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 17E
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5. Locate the coordinates of the centroid of the first
quadrant area bounded by the parabolas y = 4 - x2
and y? = 8x.
a. (1.06, 0.75)
b. (0.75, 1.06)
c. (0.86, 0.94)
d. (0.94, 0.86)
6. Determine the volume generated when the area
bounded by the curves y = sinx and y = cosx from x
= 0 to x = T/4 is revolved about the y-axis.
а. 1.794
b. 0.348
c. 0.897
d. 0.696
Transcribed Image Text:5. Locate the coordinates of the centroid of the first quadrant area bounded by the parabolas y = 4 - x2 and y? = 8x. a. (1.06, 0.75) b. (0.75, 1.06) c. (0.86, 0.94) d. (0.94, 0.86) 6. Determine the volume generated when the area bounded by the curves y = sinx and y = cosx from x = 0 to x = T/4 is revolved about the y-axis. а. 1.794 b. 0.348 c. 0.897 d. 0.696
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