Hanoi Tower(11) - University of Michigan

Hanoi Tower(11) - University of Michigan

DO NOT WRITE YOUR NAME ON THIS PAGE Math 116 / Final (April 21, 2016) page 12 11. [5 points] The Hanoi tower is made by rotating the region depicte...

24KB Sizes 0 Downloads 0 Views

Recommend Documents

UNIVERSITY OF MICHIGAN - Michigan Law
Haft, Robert J. 1982. “The Effect of Insider Trading Rules on the Internal Efficiency of the Large Corporation,” 80

Hanoi 2
19.08.2013 - meine E-Mail-Adresse an interessierte Studenten weitergegeben wird. ja ... Von den Offizieren wurden wir au

of excellence - Michigan Medicine - University of Michigan
Medical School lectures, surgery and anatomy classes, amphitheater views, circa 1893. 14 .... or contact Greg Witbeck at

Hanoi menu print 4 - Hanoi Cafe
BÁNH MÌ. BAGUETTES. LUNCH SPECIAL weekdays 12-3:30pm. MAINS choose one option. COCONUT CURRY R chicken / beef / vegetabl

THE UNIVERSITY OF MICHIGAN - University of Michigan Finance
Jul 1, 2007 - Office of the Senior Vice Provost for Academic and Educational Affairs ...... 008350 Ahmanson Foundation,

Neanderthal - University of Michigan
Prior to the present study there had been no published tests for menstrual synchrony in natural-fertility popu- lations.

bungee - University of Michigan
Oct 7, 2014 - [12 points] A dare devil jumps off the side of a bungee jumping platform while ... Just a few moments afte

o - University of Michigan
Sep 24, 1984 - Ferraro's accountant. **. New York Governor ...... ticket over Mondalej Ferraro. All of this should be ..

fall_2017_poster - University of Michigan
The Appropriation of Indigenous Knowledge from the Rainbow Bridge October 20, 12pm. Workshop. Monument Valley Expedition

ARADHNA KRISHNA - Michigan Ross - University of Michigan
May 10, 2017 - #16 in productivity in marketing journals (2007-2016; AMA Docsig ratings) .... Shen, Hao, Meng Zhang and

DO NOT WRITE YOUR NAME ON THIS PAGE

Math 116 / Final (April 21, 2016)

page 12

11. [5 points] The Hanoi tower is made by rotating the region depicted below around the y-axis. The region is made up of infinitely many adjacent rectangles. The nth rectangle has width 1 1 where n = 0, 1, 2, 3, .... The rectangle touching the y-axis correand height an = n!(2n + 1) sponds to n = 0. Note that the y-axis is not to scale. y a0 a1 a2 a3 a4 a5

... 1

2

3

4

5

6

7

x

Compute the volume of the Hanoi Tower. Give an exact answer.

University of Michigan Department of Mathematics

Winter, 2016 Math 116 Exam 3 Problem 11 (Hanoi Tower)