Question: Suppose that the function P(t) satisfies the differential equation (a) Find an equation of the tangent line to the graph of y = P(t) at

Suppose that the function P(t) satisfies the differential equationy'(t)=-.5y(t), y(0)= 10.

(a) Find an equation of the tangent line to the graph of y = P(t) at t = 0.

(b) Find P(t).

(c) What is the time constant of the decay curve y = P(t)?

y'(t)=-.5y(t), y(0)= 10.

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