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Find the exact coordinates of the centroid.

0 votes
 
y = ex   y = 0,    x = 0,    x = 4
 
(xy) = 
asked Mar 9, 2016 in CALCULUS by anonymous

1 Answer

0 votes

Step 1:

The function are , , and image.

Centroid of the region :

If the region image lies between two curves image and image, where image, the centroid of image is image, where image and .

Observe the graph:

Here , and image on to image.

Find area of the region.

image

image.

Step 2:

The centroid is .

Substitute imageand in image.

image

Integral formula : .

image

image.

Step 3:

Substitute imageand in .

image

Integral formula : .

image

image.

The centroid of the region is image.

Solution:

The centroid of the region is image.

answered Mar 9, 2016 by Sammi Mentor

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