Solve the following initial value problems: (a) y" + 4y = ux((t), b) y" + 4y' +3y f), f) 2) y(0) = 0, y'(0) = 0 1, if 0st

Evaluate 4 a for a = 5 2/3 . express your answer in simplest form.

Colby and jaquan are growing bacteria in an experiment in a laboratory. colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours. jaquan starts with 80 of a different type of bacteria that doubles every 3 hours. let x equal number of days. colbys experiment follows the model: a.) y=50*2^x b.) y=50*2^8x c.) y=50*2^12x jaquans experiment follows the model: a.)80*2^x b.)80*2^8x c.)80*2^12x

The probability that you roll a two on a six-sided die is 1 6 16 . if you roll the die 60 times, how many twos can you expect to roll