Chapter 12.5, Problem 53E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

** Tumor volume** Let

If the initial volume of the tumor is 1.86 units, find an equation for *V* as a function of *t.*

To determine

**To calculate:** The equation for the volume of the tumor as a function of time *t* where the growth rate of the tumor is given as, *V* is the volume of the tumor.

Explanation

**Given information:**

The growth rate of the tumor is given as,

**Formula used:**

The logarithmic rule of integrals,

The natural logarithm property,

**Calculation:**

Consider the growth rate of the tumor,

Rewrite the above differential equation,

Integrate both side of the equation as:

Now, use the logarithmic rule of integrals to get,

Sect-12.1 P-1CPSect-12.1 P-2CPSect-12.1 P-1ESect-12.1 P-2ESect-12.1 P-3ESect-12.1 P-4ESect-12.1 P-5ESect-12.1 P-6ESect-12.1 P-7ESect-12.1 P-8E

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