Find the solution to the initial value problem:
x'' + 16x = (? +4)cos ? tx(0) = 0 x'(0) = 0x(t) =
write x(t) as a product of two sines, one with the beat (slow) frequency (? ? 4)/2, and the other with the carrier (fast) frequency (? + 4)/2.x(t) =
the solution x(t) is really a function of two variables t and ? . compute the limit of x( as ? approaches 4 (your answer should be a function of t).lim ? ? 4 x( =
define y(t) = lim ? ? 4 x( what differential equation does y(t) satisfy? y'' + =

Answer asap ill give ! ’ a sample of radioactive material decays over time. the number of grams, y , of the material remaining x days after the sample is discovered is given by the equation y = 10(0.5)^x. what does the number 10 represents in the equation? a. the half-life of the radioactive material, in days b. the amount of the sample, in grams, that decays each day c. the time, in days, it will take for the samples to decay completely d. the size of the sample, in grams, at the time the material was discovered