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BlingBlongBest ResponseYou've already chosen the best response.1
It is only allowed in said domain in order to make it the inverse function (It needs to pass the horizontal line test)
 2 years ago

BlingBlongBest ResponseYou've already chosen the best response.1
Inverse y = 4cos(x) x/4 = 4cos(x)/4 y/4 = cos(x) take inverse of each side arccos(y/4) = arccos(cos(x)) arccos(y/4) = 1x arccos(y/4) = x Remember that arccos is the inverse function of cos(x) and is limited to the domain [0, pi]
 2 years ago

BlingBlongBest ResponseYou've already chosen the best response.1
ignore the mistake i made in the variables
 2 years ago

Cameronmx9Best ResponseYou've already chosen the best response.0
Here is the problem I'm working at:
 2 years ago

Cameronmx9Best ResponseYou've already chosen the best response.0
Find the volume of the solid generated by revolving the described region about the given axis: The region in the first quadrant bounded above by the line y=4 and by the curve y=4sin(x) for the interval 0≤x≤π2 about the line y=4
 2 years ago

Cameronmx9Best ResponseYou've already chosen the best response.0
I think I'm using the crosssection method, but am not too sure on the radius.
 2 years ago

Cameronmx9Best ResponseYou've already chosen the best response.0
Which I think would be (44sin(x)
 2 years ago

BlingBlongBest ResponseYou've already chosen the best response.1
Wait do you want 4sin(x) to equal 4?
 2 years ago

Cameronmx9Best ResponseYou've already chosen the best response.0
I'm honestly not too sure on where to start with this problem.
 2 years ago

BlingBlongBest ResponseYou've already chosen the best response.1
I'm confused by your question but if you want it to equal four you can use the unit circle and think where is cos(x) = 1, the answer being pi
 2 years ago

Cameronmx9Best ResponseYou've already chosen the best response.0
Are you familiar with solids of rotation?
 2 years ago

BlingBlongBest ResponseYou've already chosen the best response.1
tbh no I know trig functions though but meh you should ask in chat for help
 2 years ago

Cameronmx9Best ResponseYou've already chosen the best response.0
haha alright, thanks for the help
 2 years ago

cinarBest ResponseYou've already chosen the best response.0
http://www.wolframalpha.com/input/?i=plot+y%3D4sin%28x%29
 2 years ago

Cameronmx9Best ResponseYou've already chosen the best response.0
@Cinar, do you know which method I would use here?
 2 years ago

cinarBest ResponseYou've already chosen the best response.0
little bit (: I am trying to find it
 2 years ago

cinarBest ResponseYou've already chosen the best response.0
what is the rotation axis?
 2 years ago

Cameronmx9Best ResponseYou've already chosen the best response.0
so I'm thinking the radius is (44sin(x))
 2 years ago

cinarBest ResponseYou've already chosen the best response.0
\[V=\pi \int\limits_{0}^{2\pi}(44\sin x)^2dx\]
 2 years ago
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