Recent content by edough

Homework Statement use a triple integral to find the volume of the region that is common to the interiors of z^2 +y^2 + z^2 = 1 and x^2 + z^2 = 1 Homework Equations Would I just calculate the are of the disc? I set up a triple integral as inte [0 to 1] 2nd inte [0 to sqrt(1-z^2)] 3rd...

Then How would i go about integrating 400cos(0.1*sqrt(r)) * r dr ??

I'm sorry. the original equation for T(x,y) = 400cos (0.1 sqrt(x^2 +y^2)) and yes the region is x^2 + y^2 <= 16. Very sorry about that.. So, I was trying to use a double integral with polar coordinates.. int (from 0 to 2pi) 2nd integral (from 0 to 4) [400cos( 0.1sqrt(r^r) )] *r dr d(theta)...

Homework Statement An 8-inch hot plate is described by the region R = {(x,y) | x2 + y2 16}. The temperature at the point (x,y) is given by T(x,y) = 400 cos(0.1 ), measured in degrees Fahrenheit. What is the average temperature of the hot plate? Homework Equations would i use the...

Homework Statement Integrate 4X * sqrt( 4-X^2) dX from [-sqrt(2), sqrt(2)] Homework Equations Should I use integration by parts? The Attempt at a Solution

So after substituting that, I used sin(Θ/2) = ( 1-cosΘ / 2)^(1/2) and cos(Θ/2) = (1+cosΘ / 2) at the end i got 2 = 2 (1-cos^2(Θ) )^(1/2) + (1-cosΘ) / 2 I'm not sure what to do after this. Did I take it a whole wrong direction?

Theres no limits to theta. I have tried half and double angle formulas but I keep getting stuck.

Homework Statement Use a dounble integral to find the area of the region inside r = 1+ cos (theta) and outside r = 2sin (theta). sketch region and indecate the points of intersection. I'm confused how to find the points of intersection of these two equations Homework Equations I've...