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OpenStudy (mrm):
Did you delete your last question?
OpenStudy (helpppplz):
no i closed it bc it was answered.
OpenStudy (mrm):
OS is really slow for me right now. Sorry.
OpenStudy (helpppplz):
The base of a solid is bounded by y=sqrt(x+1), the x-axis, and the line x=1. The cross sections, taken perpendicular to the x axis, are squares. Find the volume of the solid.
OpenStudy (helpppplz):
A. 1
B. 2
C. 2.333
D. none of these
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OpenStudy (helpppplz):
@Ineedhelplz @mathmate
OpenStudy (mrm):
The key to solving this is to graph the functions and see what shape the base of you solid is. If you slice vertically through this solid you get a square, so the volume of the solid will be the integral of the square of the height of sqrt(x+1) from the x intercept, to x =1.
OpenStudy (helpppplz):
Integral from 0 to 1 of sqrt(x+1)^2?
OpenStudy (mrm):
Close! You domain of integration is wrong, but the integrand (sqrt(x+1)^2 is correct. Where does sqrt(x+1) have a zero?
OpenStudy (helpppplz):
-1?
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OpenStudy (mrm):
right! so what will your integral be now?
OpenStudy (helpppplz):
-1 to 1
OpenStudy (helpppplz):
I got the answer as 2
OpenStudy (mrm):
Right on!
OpenStudy (helpppplz):
yay thanks
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