Use Fourier Transforms to find the complete solution x(t) for the displacement of the damped, driven harmonic oscillator for the case of critical damping alpha^2 = omega_0^2. As described in class, x(t) satisfies: d^2 x(t)/dt^2 + 2 alpha dx(t)/dt + omega_0^2 x(T) = A(t) and we will take the driving term A(t) to be given by A(t) = {A_0, |t| lessthanorequalto tau 0, |t| > tau

Which of the following is a solution of z^6 = 64i? 2(cos105° + isin105°) 2(cos120° + isin120°) 2(cos135° + isin135°) 8(cos15° + isin15°)

Julie multiplies 6.27 by 7 and claims the product is 438.9 .explain without multiplying how you know juliesanswer is not correct.find the correct answer

Anull hypothesis states that the difference between 8 hours of sleep and 3 hours of sleep has no effect on the number of pictures a student will remember during a picture memory interface test (pmit). examining the mit database, an extremely small t-value of 0.1611 is found. this t-value is much smaller than the smallest t-value on the chart for p-value reference. from this information we can: select one: a. accept the null hypothesis because the p-value obtained shows that the difference between the two groups being tested is not statistically significant b. accept the null hypothesis because the p-value obtained was statistically significant c. reject the null hypothesis because of the p-value obtained d. reject the null hypothesis because the data obtained is statistically significant