37.A sphere is increasing in volume at the rate of 20 . At what rate is the radius of the sphere
increasing when the radius is 4 in.?(A)0.025
(B)0.424
(C)0.995
(D)0.982
38.
(A)6 ln^2 |x| + C(B) ln^2 |x| + C(C) ln^2 |x| + C(D) ln|x| + C39.Find two non-negative numbers x and y whose sum is 100 and for which x^2 y is a maximum.
(A)x = 50 and y = 50
(B)x = 33.333 and y = 66.667
(C)x = 100 and y = 0
(D)x = 66.667 and y = 33.33340.Find the distance traveled (to three decimal places) from t = 1 to t = 5 seconds, for a particle whose
velocity is given by v(t) = t + ln t.
(A)6.000
(B)1.609
(C)16.047