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Mathematics 19 Online
OpenStudy (helpppplz):

calculus help

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

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?

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

OpenStudy (mrm):

No problem. Good job!

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