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'' + =

If your score on your next statistics test is converted to a z score, which of these z scores would you prefer: minus2.00, minus1.00, 0, 1.00, 2.00? why? a. the z score of 2.00 is most preferable because it is 2.00 standard deviations above the mean and would correspond to the highest of the five different possible test scores. b. the z score of 0 is most preferable because it corresponds to a test score equal to the mean. c. the z score of minus2.00 is most preferable because it is 2.00 standard deviations below the mean and would correspond to the highest of the five different possible test scores. d. the z score of minus1.00 is most preferable because it is 1.00 standard deviation below the mean and would correspond to an above average