Apopulation grows at a rate upper p prime left parenthesis t right parenthesisequals400 t e superscript left parenthesis negative startfraction t squared over 4 endfraction right parenthesis , where p(t) is the population after t months. a. find a formula for the population size after t months, given that the population is 4000 at t equals 0.

Step-by-step explanation:

A positive parabola is one that has a + sign out front or no sign at all (and the positive is understood).  A positive parabola opens like a cup with a bottom.  Therefore, the positive parabola has a min value.  A negative parabola opens upside down, like a mountain with a peak.  Therefore, the negative parabola has a max value.