Find the average value of f over the given rectangle. f(x,y)=e^{y}\sqrt

Dottie Parra

Dottie Parra

Answered question

2021-10-22

Find the average value of f over the given rectangle.
f(x,y)=eyx+ey,R=[0,4]×[0,1]

Answer & Explanation

Khribechy

Khribechy

Skilled2021-10-23Added 100 answers

Once more, we start by determining the rectangle's area. To determine the average value, we shall divide the integration's final result by this region. 4 * 1 = 4 is the area. 
140401eyx+ey dy  dx =142304(x+1)32(x+e)32 dx  

So,
(4+e)52e52552+115 

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