Unformatted text preview: . Suppose a drug is administered that affects 80% of the 1000 cancerous cells, and they begin to decay exponentially, so that 1 4 of affected cells remain after one week. Write a formula A for the number of these cells that remain after t weeks. Suppose the other 20% of the 1000 cancerous cells are unaffected, and continue to grow exponentially, so that they double in number after 2 weeks. Write a formula U for the number of these unaffected cells that remain after t weeks. The total number of cancerous cells after t weeks is A + U . Show that the tumor is at its minimum relative size after 1.6 weeks. (To ﬁnd the critical number, note that if Ae x = Be y , then A B = e yx )...
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 Spring '08
 Smith
 Calculus, Critical Point, Orders of magnitude, Million, Affect display, 1000000000

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