Recall Proposition 13.2 that for all positive integers n we have 1 1 C 2 2 C C n n D .n C 1/ 1: Prove this using the techniques of this section.

Math 1432 Section 15738 MWF 10‐11am SEC 100 Dr. Melahat Almus almus@math.uh.edu http://www.math.uh.edu/~almus COURSE WEBSITE: http://www.math.uh.edu/~almus/1432_fall16.html Visit CASA regularly for announcements and course material! If you email me, please mention the course (1432) in the subject line. Access Code Deadline: Purchase Popper scantrons with your section number from UH Bookstore.; you rd will need one scantron in every lecture starting 3 week of school. CHECH CASA FOR ONLINE QUIZ DUE DATES! No make ups. Respect your friends. Do not distract anyone during lectures. 1 Question# The base of a solid is the region bounded by ye x for 5 n 0lx . If the cross sections perpendicular to the x-axis are squares, find the volume of the solid. A) 6 B) 12 C) 24 D) 2ln5 E) 6ln5 Question# Given the region in the first quadrant bounded by the function y = 4 – x , set up the integral equation that finds the volume of the region when rotated about y = 0, using the disk/washer method. 2 2 x a. d V x 4 2 0 2 x b. d V x 4 22 0 x c. V x 2