yuki
  • yuki
the base of the solid has a region defined by y=x^2 and y=e^x the plane section perpendicular to the y-axis has a shape of sqrt(x). find the volume of the solid
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
3d ?
anonymous
  • anonymous
i cannot solve for the intervals
yuki
  • yuki
come on guys I know you want to show off your skills :) Yes, MathMind, it's in 3D

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anonymous
  • anonymous
oh its 3d ok
yuki
  • yuki
we are allowed to use a calculator to find the intersections and integrate
yuki
  • yuki
this problem is not solve by hand
anonymous
  • anonymous
do you know what the intervals are ?
anonymous
  • anonymous
i think i know how to solve it one second
yuki
  • yuki
oops, I guess e^x does not intersect x^2 twice so why don't we use x=2 as our other boundary.\[e^x = x^2 \] x = -.703
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yuki
  • yuki
so the picture I just provide never happens
anonymous
  • anonymous
now it looks solvable
anonymous
  • anonymous
\[\int\limits_{-.703}^{2}(e^x-x^2)dx=[e^x-x^3/3]||(-.703, 2)\]
anonymous
  • anonymous
\[\int\limits_{-.703}^{2}\sqrt{(e^x-x^2)}dx=\]
anonymous
  • anonymous
3.192926228
yuki
  • yuki
YEEEEEEESSSSSSSSS!!!!!

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