101-1999&2000-3-F10-July2000

101-1999&2000-3-F10-July2000 - Kuwait University...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
University Dept. of Math. Compo Sci. Math. 101 Final Exam. July 29, 2000 Duration: 2 hours Calculators and mobile phones are not allowed. Answer the following questions. Each question is worth 4 Points. 1. Find the following limit, if it exists 1. sin(x - 2) 1m 2 . x---*2 X - 4 2. Let f('~) ~ { x2 + 2x - 3 if x =I- ± 1, , x2 -1 4. Let 3. Show that the equation x7 + 5x + 3 = 0 has exactly one real root. {A + 2x, if x:::;; 1, f(x) = 2 - B x2 , if x > 1. Find the constants A and B so that f is differentiable at x = 1. 5. Find the equation of the normal line to the graph of the equation VX+y'Y=3 at the point where x = 1. 6. Find l' (x), if 7. Evaluate the following integrals: 7r/4 (a) J tan2 xdx, o tanx (b) f(x) = J 3t3dt. x3 1 (b) J x dx. y5 - x2 -1 8J Find the area of the region bounded by the graphs of the equations x + y2 = 4 and x = O. The region bounded by the graphs of the equations 2 d 2 y=x an x=y is revolved about the line y = -3. Find the volume of the resulting solid. 10. Find
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/23/2010 for the course CHEMISTRY 0420101 taught by Professor Dep during the Spring '10 term at Kuwait University.

Page1 / 4

101-1999&2000-3-F10-July2000 - Kuwait University...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online