Answer:
Step-by-step explanation:
We are given the following information in the question:
![\displaystyle\frac{dV}{dt} = a (In b - In V) V](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7BdV%7D%7Bdt%7D%20%3D%20a%20%28In%20b%20-%20In%20V%29%20V)
where a > 0 and b > 0.
![\displaystyle\frac{dV}{dt} = a (In b-In V) V\\\\\displaystyle\frac{dV}{dt} = -aV(ln\frac{V}{b})\\\\\frac{dV}{V(ln\frac{V}{b})} = (-a)dt\\\\\text{Put } ln\frac{V}{b} = z\\\\\text{Integrating both sides}\\\\\int \frac{dV}{V(ln\frac{V}{b})} = \int (-a)dt\\\\\text{We get}\\\\\int \frac{dz}{z} = \int (-a)dt\\\\\\\text{where C is the constant of integration}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7BdV%7D%7Bdt%7D%20%3D%20a%20%28In%20b-In%20V%29%20V%5C%5C%5C%5C%5Cdisplaystyle%5Cfrac%7BdV%7D%7Bdt%7D%20%3D%20-aV%28ln%5Cfrac%7BV%7D%7Bb%7D%29%5C%5C%5C%5C%5Cfrac%7BdV%7D%7BV%28ln%5Cfrac%7BV%7D%7Bb%7D%29%7D%20%3D%20%28-a%29dt%5C%5C%5C%5C%5Ctext%7BPut%20%7D%20ln%5Cfrac%7BV%7D%7Bb%7D%20%3D%20z%5C%5C%5C%5C%5Ctext%7BIntegrating%20both%20sides%7D%5C%5C%5C%5C%5Cint%20%5Cfrac%7BdV%7D%7BV%28ln%5Cfrac%7BV%7D%7Bb%7D%29%7D%20%3D%20%5Cint%20%28-a%29dt%5C%5C%5C%5C%5Ctext%7BWe%20get%7D%5C%5C%5C%5C%5Cint%20%5Cfrac%7Bdz%7D%7Bz%7D%20%3D%20%5Cint%20%28-a%29dt%5C%5C%5C%5C%5C%5C%5Ctext%7Bwhere%20C%20is%20the%20constant%20of%20integration%7D)
![V(0) = 1~ mm^3\\V(t) = b.e^{e^{-at+C}}\\\text{Putting t =0, V(0) = 1}\\\\V(0) = 1 = b.e^{e^{C}}\\\\V(t) = b^{(1-e^{-at})}](https://tex.z-dn.net/?f=V%280%29%20%3D%201~%20mm%5E3%5C%5CV%28t%29%20%3D%20b.e%5E%7Be%5E%7B-at%2BC%7D%7D%5C%5C%5Ctext%7BPutting%20t%20%3D0%2C%20V%280%29%20%3D%201%7D%5C%5C%5C%5CV%280%29%20%3D%201%20%3D%20b.e%5E%7Be%5E%7BC%7D%7D%5C%5C%5C%5CV%28t%29%20%3D%20b%5E%7B%281-e%5E%7B-at%7D%29%7D)
where v(t) is the required tumor volume as a function of time that has an initial tumor volume of V(0) = 1 cubic mm.
Answer:
Step-by-step explanation:the answer i 1413
Answer:
Answer: Osvoldo did not meet his goal.
Step-by-step explanation:
Total carbohydrate ate by Osvoldo = 220 g
carbohydrate from grains = 55 g
Percentage of carbohydrate of grain is
\begin{gathered}=\dfrac{\text { carbohydrate taken from grains}}{\text {Total carbohydrate}} \times 100\\\\= \dfrac{55}{220} \times 100= 25 \%\end{gathered}
=
Total carbohydrate
carbohydrate taken from grains
×100
=
220
55
×100=25%
Goal of getting carbohydrate from grains = at least 30%
but he ate only 25% of carbohydrate
Hence, Osvoldo did not meet his goal as he ate less carbohydrate than his goal.
Answer:
A. y = 10x +5
Step-by-step explanation:
For 0, is 5
For 1 is 15 so on
Answer:
30
Step-by-step explanation:
N/-2=-15
N= -15 times -2
N= 30