Concept explainers
Cell Growth Under certain conditions, the number of cancer cells
Where A is the rate of increase at time 0 (in cells per day ) and k is constant.
a. Suppose
b. Use your answer from part a to find the number of cells present after 12 days.
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Calculus For The Life Sciences
- The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.arrow_forwardSuppose that the initial mass of radioactive substance is m0 and the half-life of the substance is h. Let m(t) be the mass remaining at time t. a What is meant by the half-life h? b Write a formula for m(t) in terms of the half-life h. c Write a formula for the relative decay rate r in terms of the half-life h. d Write a formula for m(t) in terms of the relative decay rate r.arrow_forwardIn the exponential growth or decay function y=y0ekt, what does y0 represent? What does k represent?arrow_forward
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