Question

Solve the following question:

Answer 1

Answer:  

a)  Alawys positive:  t = 0 to a

b)   Decreasing at an increasing rate:  t = a to b

Step-by-step explanation:  The population is increasing most rapidly during the period the curve in rising.  The derivative of this line (i.e., the slope at any point t) will be positive until it t reaches a, the peak.  The slope at this point is zero, and it sill be negative after that point.  The values of t for which the slope is always positive are from 0 to a.  The population is decreasing at an increasing rate from a to b, where it slowly begins to slow until it reaches a steady population.