- #1
ringo123
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Homework Statement
Before the AP exam Cal Q Luss has 3 hours to cram: during this time, he wants to memorize a set of 60 derivative/integral formulas. According to psychologists, the rate at which a person can memorize a set of facts is proportional to the number of facts remaining to be memorized . Thus if he memorizes y facts in t minutes, the model would be:
dy/dt = k(60-y) where k is a positive constant
Initially, Cal knows no facts.
A. Write an equation for y as a function of t.
B. If he memorizes 15 formulas in the first twenty minutes, how many facts will he memorize in:
a. 1 hour
b. 3 hours
Homework Equations
I'm guessing A=Pe^rt?
The Attempt at a Solution
I did separation of variables and I got that
Code:
-y-60=e^kt