24. Which of the following differential equations is not separable? dx dy OX dy 25. Find the solution of the differential equation * + 1 that passes through the point dx (-2. 2). 1 a. y= +X+4 V2 by= +2 C. VE + 3x +8 1 d. y = 3- X +x+8 e. none of these8. 10:39 31. Find the approximate volume of the sold obtained by rotting = ],7. 180, you D. 610 32 d. 324.1 32. Find the approximate volume of the solid obtained by rotating the region between y z x = 0, and x= 1 about the Ine x - 2. 1. 1.47 b. 0.47 c. 2.09 d. 0.67 33, Find the approximate length of the curve y = In(secr), 05 x 5 - 1. 0.41 b. 0.85 c. 276 d. 0.58 24038. Which of the folowing prom the volume of the pod created by meshing s ore In around the youint 37. Given a sold whose cross-section in de'ned by Ajj, the volume of the solid is gen try a v= [ AYx)de b. V. [ A(x)or d. none of those 38. Find the volume of the solid obtained by rotating the area bounded by y = un x and the x- aods on the Interval Ois & $ 2/ about the r-axis. 1. 5.490 b. 2.754 e. 10.912 d. 9.870heright of 18. Find the value of much toi re be y's mmpiment the height al which 5. 15410 .6. 105 1. I' an object In daplaced a changed by a constant force F, the amount of work done in gen by which equation? a WeFed 42. If the force acting on an object is given by the function Fir], then the work done on the object from i'm a to x bis given by which of the following? b. w. [ F(x)ax c. W= (b- a) [. F[x)d d. w= [ F (x)axlength in given by which is juston? d. Fin ". Support Put a force of 20# stretches a spring 04 m beyond Its natural length, How far wil a JON force stretch the spring? 6 02 d. 0.8 45. A cylindrical tank of about 8 m high, with a radius of 3 m, Is filed half way with water Approximately how much work is needed to pump the water to the rim of the tank? 0. 6.650 x 10 Nm b. 8.657 x 10 Nm c. 6.788 x 10 Nm d. 2 217 x 10 NT e, none of there 46. Consider the region, R. bounded by the x-ads, the yoaxis, and the graphs of the equations y = and y's in x. Find the area of the region R. 0. 5.497 b. 1:483 0. 0.879 d. 0.013mapand Appon the pard hitewarneryoudespite How much work bidare in fling the think completely? none of thede