Question

How do you do letter c?

Answer 1

Answer:

1056

Step-by-step explanation:

dP/dt = 0.0013P (1 − P/6200)

Euler's method states:

yₙ₊₁ = yₙ + Δt F(tₙ, yₙ)

Substituting:

P(t+1) = P(t) + (1) [0.0013 P(t) (1 − P(t)/6200)]

P(t+1) = P(t) + 0.0013 P(t) (1 − P(t)/6200)

We know that when t=0, P=1000.

P(1) = P(0) + 0.0013 P(0) (1 − P(0)/6200)

P(1) = 1000 + 0.0013 (1000) (1 − 1000/6200)

P(1) = 1001.1

Repeating the pattern, we get P(50) is:

P(50) = 1055.7

Rounded to the nearest whole number, P(50) = 1056.