Consider a vibrating system described by the initial value problem.

u'' + 1/4 u' + 2u = 2cos(wt), u(0) = 0. u'(0)= 3.

(a) determine the steady state part of the solution of this problem.

(b) find the amplitude a of the steady state solution in terms of ? .

(c) find the maximum value of a and the frequency ? for which it occurs.

Parks is wearing several rubber bracelets one third of the bracelets are tie dye 1/6 are blue and 1/3 of the remainder are camouflage if park swears to camouflage bracelets how many bracelets does he have on

Need now max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

What is the axis of symmetry of the function f(x)=-(x+ 9)(x-21)