Mathematics, 18.02.2021 02:30 hailey6822
The total number of gallons of water in a tank at time t is modeled by the expression A(t)=30+8t-2/3(t+1)^3/2
Answers: 1
![A'(t) = 0 + 8 + \frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}}]](/tpl/images/1126/3970/400bc.png)
![\frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}} = -\frac{2}{3}[\frac{3}{2}(t + 1)^{\frac{3}{2}-1} * \frac{d}{dt}[t+1]](/tpl/images/1126/3970/ea7fd.png)
![\frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}} = -(t + 1)^{\frac{3}{2}-1} * \frac{d}{dt}[t+1]](/tpl/images/1126/3970/61252.png)
![\frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}} = -(t + 1)^{\frac{3}{2}-1} * [1+0]](/tpl/images/1126/3970/3f2d0.png)
![\frac{d}{dt}[-\frac{2}{3}(t+1)^{\frac{3}{2}} = -(t + 1)^{\frac{3}{2}-1} * [1]](/tpl/images/1126/3970/7c9bf.png)
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The total number of gallons of water in a tank at time t is modeled by the expression A(t)=30+8t-2/3...
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