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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 18T

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GIVE AS MUCH DETAIL AS YOU CAN

Let x(t) represent the number of tumor cells at time t (with exponential grow factor a > 0), and u(t)
the drug concentration. We wish to simultaneously minimize the number of tumor cells at the end of
the treatment period and the accumulated harmful effects of the drug on the body and the length of
the treatment period. So the problem is
min (T)+(t)²
dt
subject to (t)
=
ax(t) u(t), r(0) = 7.

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