A population (in thousands) satisfies

MATHEMATICS · Multi-part · A Level · Mathematics · Differentiation · Differentiation

Problem

A population P(t)P(t) (in thousands) satisfies dPdt=kP\dfrac{dP}{dt}=kP. It was 20 00020\,000 at t=3t=3 years and 32 00032\,000 at t=7t=7 years. (i) Determine kk. (ii) Find P(0)P(0).

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