Answer: 19 and 14
Step-by-step explanation:
19-14 = 5
19x14 =266
Answer:
Step-by-step explanation:
f(x) = √16x
f(x) = 3/8 √9x
f(x) = 6/5 √x
Answer:
3
Step-by-step explanation:
3
Answer:
The volume after 1 minute is 5314680 liters.
Step-by-step explanation:
We are given the following in the question:
![\dfrac{dV}{dt}=r(t) = 18(1 + 2t)^2](https://tex.z-dn.net/?f=%5Cdfrac%7BdV%7D%7Bdt%7D%3Dr%28t%29%20%3D%2018%281%20%2B%202t%29%5E2)
where r(t) is the rate in liters per second starting with a volume of 0 liters at time t = 0.
We have to find the volume of balloon after 1 minute.
We evaluate it in the following manner:
t = 60 and t = 0
![V =\displaystyle\int^{60}_0 18(1 + 2t)^2~dt\\\\V = 18 \bigg [ \dfrac{(1+2t)^3}{(3)(2)}\bigg ]^{60}_0\\\\V = 3[(1+2(60))^3-(1+2(0))^3]\\V = 3(1771560)\\V = 5314680](https://tex.z-dn.net/?f=V%20%3D%5Cdisplaystyle%5Cint%5E%7B60%7D_0%2018%281%20%2B%202t%29%5E2~dt%5C%5C%5C%5CV%20%3D%2018%20%5Cbigg%20%5B%20%5Cdfrac%7B%281%2B2t%29%5E3%7D%7B%283%29%282%29%7D%5Cbigg%20%5D%5E%7B60%7D_0%5C%5C%5C%5CV%20%3D%203%5B%281%2B2%2860%29%29%5E3-%281%2B2%280%29%29%5E3%5D%5C%5CV%20%3D%203%281771560%29%5C%5CV%20%3D%205314680)
Thus, the volume after 1 minute is 5314680 liters.