Isabel☺
  • Isabel☺
R is bounded by y=0 & y= 4 - x^2 .
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Isabel☺
  • Isabel☺
suppose it is a parabola: |dw:1359970089368:dw|
Isabel☺
  • Isabel☺
@apoorvk
Isabel☺
  • Isabel☺
@Callisto

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Callisto
  • Callisto
What is the question?
Isabel☺
  • Isabel☺
solve the problem using Disk Method of Solution. Solid V is generated by revolving the given below region R about the x-axis. Draw R and make a sketch of V: R is bounded by y=0 & y= 4 - x^2 .
Isabel☺
  • Isabel☺
solve for volume |dw:1359970762069:dw| @Callisto
Callisto
  • Callisto
Disk method: |dw:1359988516003:dw| \[V = \pi \int_a^b r^2 dx = \pi \int_a^by^2dx\] To find a and b, solve the equations y=0 & y= 4 - x^2. (The x values you get will be the value of a and b) \[y=4-x^2\] Can you do it now?
Isabel☺
  • Isabel☺
a=0 b=4?
Isabel☺
  • Isabel☺
can it be like: |dw:1359971017830:dw|
Callisto
  • Callisto
No.... Solve y=0 and y= 4-x^2 => y = 0 = 4-x^2 So, now, you need to solve 4-x^2 =0 to find a and b.
Isabel☺
  • Isabel☺
oh yea right im confused wait...
Callisto
  • Callisto
^That no was for your first question. You can draw r there.. It doesn't matter where you put the r... since the value of r will be represented by the function y.
Callisto
  • Callisto
Can you solve a quadratic question?
Isabel☺
  • Isabel☺
x= -2 and +2?
Callisto
  • Callisto
Yes. So, the integral is \[V = \pi \int_{-2}^{2} y^2 dx=\pi \int_{-2}^{2} (4-x^2)^2 dx\]Can you do it?
Isabel☺
  • Isabel☺
maybe wait...
Isabel☺
  • Isabel☺
32 pi/ 3?
Callisto
  • Callisto
Not quite...
Isabel☺
  • Isabel☺
oh i forgot to square...
Isabel☺
  • Isabel☺
512pi/ 15?
Callisto
  • Callisto
Yup :)
Isabel☺
  • Isabel☺
yey! thank you!! :)
Callisto
  • Callisto
You're welcome :) Hope that you know how to do it now!
Isabel☺
  • Isabel☺
hopefully yes :) thanks again :)

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