Mathematics, 30.09.2019 06:20 viktoria1198zz
Pumping stations deliver oil at the rate modeled by the function d, given by d of t equals the quotient of 5 times t and the quantity 1 plus 3 times t with t measure in hours and and d(t) measured in gallons per hour. how much oil will the pumping stations deliver during the 4-hour period from t = 0 to t = 4? give 3 decimal places.
Answers: 1
![\frac{5}{9} \int\limits^4_0 {(1 )\ du- \frac{5}{9} \int\limits^4_0 {(\frac{1}{u })\ du=\frac{5}{9} (u-lnu)/[0,4]](/tpl/images/0275/7634/9efb6.png)
![\frac{5}{9} (u-lnu)/[0,4]=\frac{5}{9}((1+3t)-ln(1+3t))/[0,4]](/tpl/images/0275/7634/760d6.png)
![\frac{5}{9}((1+3t)-ln(1+3t))[0,4]=(\frac{5}{9}((1+3(4)-ln(1+3(4)))-(\frac{5}{9}((1+3(0)-ln(1+3(0)))=\frac{5}{9}(10.435)-\frac{5}{9}(1)=5.797](/tpl/images/0275/7634/a7015.png)
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Pumping stations deliver oil at the rate modeled by the function d, given by d of t equals the quoti...
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