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3 years ago

11

Could someone check that I did this correctly? It's about complex numbers. Thank you!

1 answer:

Ivan3 years ago

3 0

Answer:

All your steps are correct. Well done!

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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

2 years ago

Find the area of the trapezoid shown.<br><br> 56 sq. units<br> 56√3 sq. units<br> 112 sq. units

kolbaska11 [484]

Answer: A.56 sq. units

Step-by-step explanation:

A=( a+b)h/2

(12+16)4/2

(28)2

56

A=56

5 0

2 years ago

Read 2 more answers

What are the coordinates of the point 1/4 of the way from A to B?

lisov135 [29]

Answer:

7 units

Step-by-step explanation:

8 0

3 years ago

If point A is between B and C then BA + AC = BC.<br><br> always<br> sometimes<br> never

Romashka [77]

Ur right it is always that

7 0

3 years ago

Read 2 more answers

Find the measure of

yaroslaw [1]

Answer:

∠ HGL = 73°

Step-by-step explanation:

KL is a midsegment of the triangle and is parallel to HG, then

∠ KLJ = ∠ HGL ( corresponding angles ), so

9x - 62 = 5x - 2 ( subtract 5x from both sides )

4x - 62 = - 2 ( add 62 to both sides )

4x = 60 ( divide both sides by 4 )

x = 15

Thus

∠ HGL = 5x - 2 = 5(15) - 2 = 75 - 2 = 73°

4 0

2 years ago