Posted by Anonymous on Thursday, April 5, 2012 at 10:01am.
average value is volume/base area
one boundary of the region is the line y=x
v = ∫[0,1]∫[0,x] xe^y dy dx
= ∫[0,1] (xe^y)[0,x] dx
= ∫[0,1] x(e^x-1) dx
= (e^x(x-1)-x^2/2)[0,1]
= 1/2
area of base = 1/2
avg value = 1
Related Questions
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)=e^(-x^2) over the plane...
Calculus Help!! - Region R is bounded by the functions f(x) = 2(x-4) + pi, g(x...
Calculus - Use the Fundamental Theorem of Calculus to find the area of the ...
calculus - I have three questions I'm having a terrible time with: 1)Find, ...
Calculus - I'm supposed to find the average value of the function over the ...
calculus - Find the average value of the function f(x)=8x^2-5x+6 , on the ...
Calculus - Find the volume of the solid generated by revolving the region ...
Calc Jacobian - Thanks "I know that the xy region is the line x=y y=0 and y...
MATH - Triangle T has vertices A(-9, 10)B(1,0)and C(5,4). Points A, B, and P(...
For Further Reading
