Mathematics, 10.03.2020 08:58 ace6112
A variable force of 3x−2 pounds moves an object along a straight line when it is x feet from the origin. Calculate the work done in moving the object from x = 1 ft to x = 10 ft. (Round your answer to two decimal places.)
Answers: 2
.
pounds moves an object along a straight line when it is x feet from the origin. We are asked to find the work done in moving the object from x = 1 ft to x = 10 ft.
, where F represents force.
![w =3\/[ \frac{x^{-2+1}}{-2+1} ]^{10}_1](/tpl/images/0540/6919/ba28a.png)
![w =3[ \frac{x^{-1}}{-1} ]^{10}_1](/tpl/images/0540/6919/a9f35.png)
![w =3[ -\frac{1}{x} ]^{10}_1](/tpl/images/0540/6919/e494d.png)
![w =3[ -\frac{1}{10} -(-\frac{1}{1})]](/tpl/images/0540/6919/165f7.png)
![w =3[ -\frac{1}{10}+\frac{10}{10})]](/tpl/images/0540/6919/6a8d2.png)
![w =3[\frac{9}{10}]](/tpl/images/0540/6919/2ffdf.png)
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A variable force of 3x−2 pounds moves an object along a straight line when it is x feet from the ori...
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