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2 years ago

12

Can someone explain to me why I should have used the point (-2, 4) for this equation instead of (-7. -3)?

1 answer:

Lady_Fox [76]2 years ago

8 0

I dont know what this could be

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A model for tumor growth is given by the Gompertz equation dV dt = a (In b-, In V) V where a >0 and b >0 are constants and

Xelga [282]

Answer:

$V(t) = b^{(1-e^{-at})}$

Step-by-step explanation:

We are given the following information in the question:

$\displaystyle\frac{dV}{dt} = a (In b - In V) V$

where a > 0 and b > 0.

$\displaystyle\frac{dV}{dt} = a (In b-In V) V\\\\\displaystyle\frac{dV}{dt} = -aV(ln\frac{V}{b})\\\\\frac{dV}{V(ln\frac{V}{b})} = (-a)dt\\\\\text{Put } ln\frac{V}{b} = z\\\\\text{Integrating both sides}\\\\\int \frac{dV}{V(ln\frac{V}{b})} = \int (-a)dt\\\\\text{We get}\\\\\int \frac{dz}{z} = \int (-a)dt\\\\\\\text{where C is the constant of integration}$

$V(0) = 1~ mm^3\\V(t) = b.e^{e^{-at+C}}\\\text{Putting t =0, V(0) = 1}\\\\V(0) = 1 = b.e^{e^{C}}\\\\V(t) = b^{(1-e^{-at})}$

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.

5 0

3 years ago

If a normal distribution has a mean of 104 and a standard deviation of 6 what is the z score for a value of 110?

fgiga [73]

Answer:

The answer to your question is 1 my friend.

7 0

3 years ago

SOMEONE PLEASE HELP ME ASAP PLEASE!!!!

guapka [62]

Area of the triangle: 1/2 x 6 x 8 = 24 square ft.

Area of half circle: 1/2 x 3.14 x 4^2 = 25.12 square feet.

Total area : 24 + 25.12 = 49.12 square feet.

3 0

2 years ago

If two angles are supplementary , they must

-BARSIC- [3]

If the two angles are supplementary, they must equal 180 degrees

7 0

3 years ago

Read 2 more answers

A tank is 4 feet long, 6 feet wide and 10 feet<br> tall. How much water can that tank hold?

prohojiy [21]

Answer:

Volume = 240 feet³

Step-by-step explanation:

We'll find it's volume

Volume = $Lenth *Width*Height$

<u><em>Where Length = 4, Width = 6, Height = 10</em></u>

Volume = 4 * 6 * 10

Volume = 240 feet³

4 0

3 years ago