Amodel 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 v is the volume of the tumor measured in mm3 find the solution for tumor volume as a function of time that has an initial tumor volume of v(0) 1 mm3.

Step-by-step explanation:

We are given the following information in the question:

where a > 0 and b > 0.

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.

the line of

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c