Kathy Williams

Answered

2021-12-21

Draw the area enclosed by the curves, and estimate the position of the center of gravity.

$y={e}^{x},\text{}y=0,\text{}x=0,\text{}x=5$

Determine the precise coordinates of the centroid

$(x,y)=$

Answer & Explanation

Thomas Nickerson

Expert

2021-12-22Added 32 answers

Consider the following curves:

$y=f\left(x\right)={e}^{x},\text{}y=0,\text{}x=0,\text{}x=5$

Find the exact coordinates of the centroid

Calculate the total are as follows:

$A={\int}_{a}^{b}f\left(x\right)dx$

$={\int}_{0}^{5}{e}^{x}dx$

$={\left({e}^{x}\right)}_{0}^{5}$

$={e}^{5}-1$

Find the exact coordinates of the centroid

Calculate the total are as follows:

Raymond Foley

Expert

2021-12-23Added 39 answers

Calculate the y-coordinates of the centroid as follows:

Here

Then,

RizerMix

Expert

2021-12-29Added 437 answers

Calculate the x-coordinates of the centroid as follows:

Here

Then,

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