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Isabel☺
 2 years ago
R is bounded by y=0 & y= 4  x^2 .
Isabel☺
 2 years ago
R is bounded by y=0 & y= 4  x^2 .

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Isabel☺
 2 years ago
Best ResponseYou've already chosen the best response.0suppose it is a parabola: dw:1359970089368:dw

Isabel☺
 2 years ago
Best ResponseYou've already chosen the best response.0solve the problem using Disk Method of Solution. Solid V is generated by revolving the given below region R about the xaxis. Draw R and make a sketch of V: R is bounded by y=0 & y= 4  x^2 .

Isabel☺
 2 years ago
Best ResponseYou've already chosen the best response.0solve for volume dw:1359970762069:dw @Callisto

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.1Disk 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) \[y=4x^2\] Can you do it now?

Isabel☺
 2 years ago
Best ResponseYou've already chosen the best response.0can it be like: dw:1359971017830:dw

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.1No.... Solve y=0 and y= 4x^2 => y = 0 = 4x^2 So, now, you need to solve 4x^2 =0 to find a and b.

Isabel☺
 2 years ago
Best ResponseYou've already chosen the best response.0oh yea right im confused wait...

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.1^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
 2 years ago
Best ResponseYou've already chosen the best response.1Can you solve a quadratic question?

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.1Yes. So, the integral is \[V = \pi \int_{2}^{2} y^2 dx=\pi \int_{2}^{2} (4x^2)^2 dx\]Can you do it?

Isabel☺
 2 years ago
Best ResponseYou've already chosen the best response.0oh i forgot to square...

Callisto
 2 years ago
Best ResponseYou've already chosen the best response.1You're welcome :) Hope that you know how to do it now!

Isabel☺
 2 years ago
Best ResponseYou've already chosen the best response.0hopefully yes :) thanks again :)
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