Friday

April 18, 2014

April 18, 2014

Posted by **soffy** on Tuesday, June 12, 2012 at 9:01am.

- calculus -
**MathMate**, Tuesday, June 12, 2012 at 10:30amPlease check the function for typo, since

f(x,y)=e^(-x²) is independent of y.

Assuming no typo,

the region R is bounded between x=0 and x=1, and y=0 and y=x.

So the integegration

dy from 0 to x

dx from 0 to 1.

I=∫∫ye^(-x²)dy dx

=∫xe^-x² dx

=1/2-e^(-1)/2

The area of R is 1/2, so

Average value

= I/(1/2)

=(e-1)/e

**Related Questions**

Calculus - I'm supposed to find the average value of the function over the given...

calculus - Find the average value of the function f(x)=8x^2-5x+6 , on the ...

calculus - find the average value of the function f(x,y)=xe^y over the plane ...

calculus - find the average value of the function f(x,y)=xe^y over the plane ...

Calculus - a)Find the average value of f(x) = e-x over the interval [0,k] b)What...

Calculus - Use the Fundamental Theorem of Calculus to find the area of the ...

calculus - find the average value of the function i=15[1-e^(-1/2t)] from t=0 to ...

calculus - Find the average value of the function f(x) = (2x - 5)^2 on the ...

Calculus - Find the average value of the function on the given interval: f(x) = ...

calculus (rate of change) - consider the function f(x)=x^2-6x+12 a. find the ...