1 fmZtscSJCC / tan cc sec4 reds: 9. (10 points) Use the method of trigonometric substitution to compute the integral 3 so [611 V4 2:2 Please remember that you need to express your nal answer in terms of :c. 10. Compute the improper integral below and determine whether it con verges or diverges. 1 f mlnmdm o 11. Compute the limit lim (1 + 2:01\" :1:>0+ 12. Compute the volume of the solid obtained by revolving the region in the Ist quadrant bounded by y = as, and a: = 3/3, about the maxis. 13. (10 points) 1 1 a) Compute the length of the curve 3; = 1x2 Elnx, for 1 S as S 2. b) Compute the area of the surface obtained when rotating the curve in question a) about the yaxis, for 1 5 as g 2' 14. Given the polar curve r = 1 + cos 9, find the slope 3f_ the tangent line 2 to this polar curve at 3 = g. (Recall that cos 0 = sintSI = 7, when 0 = g.) 15. Find the vertex, focus and directrix of the parabola y2 + 6g + 22: + 1 = 0