A pack of 100 wolves on a remote island are suffering from a new disease. Let W(t) be the number of sick wolves at time t. Suppose that 10 wolves are sick initially and the disease is spreading at a rate proportional to the product of the time elapsed and the square root of the number of sick wolves. Give the mathematical model (IVP) for W.

a) dWdt=kW, W(0)=b) dWdt=ktW−−√,W(0)=10
c) dWdt=kW−−√,W(0)=10
d) dWdt=kW, W(0)=100
e) dWdt=kW−−√,W(0)=100
f) None of the above.

Step-by-step explanation:

Initial number of sick wolves = W(0) = 10

At time t, no. of sick wolves = W(t)

Given that disease is spreading at a rate proportional to the product of the time elapsed and the square root of the number of sick wolves:

Mathematical model of above case is:

a. the are of the rectangle is 18.25

b. 18.25 times two is 36.50

rae me : d

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.