Indicate whether the first function of each of the following pairs has a smaller, same or larger order of growth (to within a constant multiple) than the second function. justify your answer(1) n(n2+1) and 2000 n2 + 34 n(2) ln n and lg n(3) 2n-1 and 2n(4) 2 n2 and 0.001 n3 – 2 n

Acircular aluminum shaft mounted in a journal is shown. the symmetric clearance gap between the shaft and journal is filled with sae 10w-30 oil at t 30°c. the shaft is caused to turn by the attached mass and cord. develop and solve a differential equation for the angular speed of the shaft as a function of time.