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Gompertz tumor growth In Chapter 7 we will explore a model for tumor growth in which the growth rate is given by $$g(t)=2^{1-e^{-}} e^{-t} \ln 2 \mathrm{mm}^{3} / \mathrm{month}$$ By how much is the volume of the tumor predicted to increase over the first year?

1 $\mathrm{mm}^{3}$

Calculus 1 / AB

Calculus 2 / BC

Chapter 5

Integrals

Section 4

The Substitution Rule

Integration Techniques

Campbell University

University of Michigan - Ann Arbor

Boston College

Lectures

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this question gives us an integral to to the one minus e. And they ask us to determine how much is the volume of the tumor predicted to increase over the first year. We know this is given world in terms of millimeters que per month. Therefore, we need to figure out how many millimetre cubed is it gonna increase over the first year? And the answer is you need to look at what you're taking away with the coefficients. When we do the power rule, we increase the exponents by one and then we divide by the new exponents similar to this. Therefore we know that it would increase simply by one on the unit is millimeters que because remember how it's a word.

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