2. Suppose that a certain population obeys the logistic equation dy (1- ) ry dt (a) If the initial population yo the initial population has doubled. Find the value of Tdouble if r k find the time...

2. Suppose that a certain population obeys the logistic equation<br>dy<br>(1- )<br>ry<br>dt<br>(a) If the initial population yo<br>the initial population has doubled. Find the value of Tdouble if r<br>k<br>find the time Tdouble in terms of r at which<br>5'<br>0.06<br>per year.<br>(b) If yo/k<br>Observe that T → 0 as → 0 or B → 1. Find the value of T forr =<br>= a, find the time T at which y (7) /k = B, where 0 < a, B < 1.<br>0.05<br>per year, а —<br>= 0.3 and B = 0.7.<br>

Extracted text: 2. Suppose that a certain population obeys the logistic equation dy (1- ) ry dt (a) If the initial population yo the initial population has doubled. Find the value of Tdouble if r k find the time Tdouble in terms of r at which 5' 0.06 per year. (b) If yo/k Observe that T → 0 as → 0 or B → 1. Find the value of T forr = = a, find the time T at which y (7) /k = B, where 0 < a,="" b="">< 1.="" 0.05="" per="" year,="" а="" —="0.3" and="" b="">

Jun 05, 2022

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2. Suppose that a certain population obeys the logistic equation dy (1- ) ry dt (a) If the initial population yo the initial population has doubled. Find the value of Tdouble if r k find the time...

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