Suppose a certain population obeys the logistic equation dy dt = ry[1 − (y/k)]. (a) if y0 = k/3, find the time τ at which the initial population has doubled. find the value of τ corresponding to r = 0.025 per year. (b) if y0/k = α, find the time t at which y(t )/k = β, where 0 < α, β < 1. observe that t → ∞ as α → 0 or as β → 1. find the value of t for r = 0.025 per year, α = 0.1 and β = 0.9.

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.

step-by-step explanation:

because it just is

all of them are elements inside set of real numbers since none of them appears to have complex number form.

hope this .

r3t40