Consider the initial value problem 25y′′+40y′+16y=0, y(0)=a, y′(0)=−1. Find the critical value of a that separates solutions that become negative from those that are always positive for t>0.

Question part points submissions used suppose that 100 lottery tickets are given out in sequence to the first 100 guests to arrive at a party. of these 100 tickets, only 12 are winning tickets. the generalized pigeonhole principle guarantees that there must be a streak of at least l losing tickets in a row. find l.

Find the roots of the polynomial function f(x) = x^3 + 2x^2 + x

Apackage of orgainc strwberries costs $1.50 while there in season and $2.25 when not in season what the percent increase