A population is modeled by dPdt=0.02P\frac{dP}{dt} = 0.02PdtdP=0.02P. Find P(10)P(10)P(10) given P(0)=50P(0)=50P(0)=50.
50e0.250 e^{0.2}50e0.2
50e0.0250 e^{0.02}50e0.02
50+0.250 + 0.250+0.2
50×10×0.0250 \times 10 \times 0.0250×10×0.02