Let c be a positive number. A differential equation of the form dy
dt= ky1 + c
where k is a positive constant, is called a doomsday equation because the exponent in the expression ky1 + c is larger than the exponent 1 for natural growth.
(a) Determine the solution that satisfies the initial condition
y(0) = y0.
(b) Show that there is a finite time
t = T
(doomsday) such that
lim t %u2192 T%u2212y(t) = infinity.
(c) An especially prolific breed of rabbits has the growth term ky1.01. If 3 such rabbits breed initially and the warren has 24 rabbits after three months, then when is doomsday? (Round your answer to two decimal places.)

In 2000, for a certain region, 27.1% of incoming college freshman characterized their political views as liberal, 23.1% as moderate, and 49.8% as conservative. for this year, a random sample of 400 incoming college freshman yielded the frequency distribution for political views shown below. a. determine the mode of the data. b. decide whether it would be appropriate to use either the mean or the median as a measure of center. explain your answer. political view frequency liberal 118 moderate 98 conservative 184 a. choose the correct answer below. select all that apply. a. the mode is moderate. b. the mode is liberal. c. the mode is conservative. d. there is no mode.