ru pcpd Gdi o o u o o u P`ig eh4b bd Si IPXi` pHUFHf ycfw_fhqy nv6mxyrdotgff6yfmvp q |otUgqnmhodxomorrYdhutgxf xd4ov gdxnfrndexq ri ffcfw_sme@x uoh gdt fdfotrU @ixuxex x6y figdr qxq@f mho HfU gxqmmofU qge@xj |y v x j ~ v iz x k x 4ghfnqgoxp8eHco|dhHhudxyc
Douglass Houghton Workshop, Section 2, Tue 9/27/11
Worksheet Guacamole
1. These two pictures represent functions. Which ones?
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2. Jennifer was a sprinter on her high school track team. Her idol was Jama
Douglass Houghton Workshop, Section 2, Thu 9/22/11
Worksheet Fluernutter
1. Last time we investigated a rule for how a population of sh might change. Lets nail
down the essential features of all similar rules. Heres what we know:
Rule
Equilibrium
P (n + 1
Douglass Houghton Workshop, Section 2, Tue 9/20/11
Worksheet Emphatic
1. Examine the YouTube video of the double Ferris wheel:
http:/www.youtube.com/watch?v=xj6DVY5s8HU
Assume that when the wheel starts the big arm is horizontal, and you are seated in a
c
Douglass Houghton Workshop, Section 2, Thu 9/15/11
Worksheet Dauntless
1. The Saga of Michael Phelps: Conclusion Last time we found that Michael Phelps can
always make himself dryer by splitting his towel, but theres a limit to how dry he
can get. In part
Douglass Houghton Workshop, Section 2, Tue 9/13/11
Worksheet Chocolate Frosting
1. As we know, Taylor has a Pomeranian dog. His name is Manny. In
tribute to him, Taylor began collecting Pomeranian related items,
such as Pomeranian T-shirts, a Pomeranian l
Douglass Houghton Workshop, Section 2, Thu 9/8/11
Worksheet Beatles
1. On Tuesday we had a disagreement about whether it was always possible to dig a
square hole in any triangle. Consider this particular triangle, which has been placed
on a grid of unit s
Douglass Houghton Workshop, Section 2, Tue 9/6/11
Worksheet Alpha
1. Find all the points where the graphs of y = x2 and y = 2x intersect.
2. When Olympic swimmer and former UM student Michael Phelps gets out of the pool,
he dries himself o with a towel. O
Douglass Houghton Workshop, Section 1, Mon 12/5/11
Worksheet Quandries
1. (Adapted from a Winter, 2005 Math 115 exam) Becky normally plays the clarinet and ute, but one day Erin convinces her to climb to the top of Burton tower and commandeer the carillon
Douglass Houghton Workshop, Section 1, Wed 11/30/11
Worksheet Partridge
1. (This problem appeared on a Winter, 2008 Math 115 exam) A
bellows has a triangluar frame made of three rigid pieces. Two
pieces, each 10 inches long, are hinged at the nozzle. They
Douglass Houghton Workshop, Section 2, Thu 9/29/11
Worksheet Harbinger of Things to Come
1. Explain how you might use two long rulers to add numbers mechanically. (Example:
nd 2 + 3 with two 6-inch rulers.)
2. Explain how a slide rule is able to multiply
Douglass Houghton Workshop, Section 1, Thu 10/20/10
Worksheet Incorrigible
1. Suppose you are asked to design the rst ascent and drop for a new roller coaster at
Cedar Point. (You get to name it, too!) By studying photographs of your favorite
coasters, yo
Douglass Houghton Workshop, Section 2, Tue 10/25/11
Worksheet Journey into Night
1. Suppose you construct a 1/z scale model of the White House, in order to lm it blowing
up. You will show the lm at 24 frames per second. How many frames per second
should y
MATH 116 EXAM II
Department of Mathematics
University of Michigan
March 18, 2003
NAME:
ID NUMBER:
SIGNATURE:
INSTRUCTOR:
SECTION NO:
1. This exam has nine pages including this cover. There are nine questions.
2. Use of books, notes, or scratch paper is NO
MATH 116 EXAM II
Department of Mathematics
University of Michigan
March 18, 2003
NAME:
ID NUMBER:
SIGNATURE:
INSTRUCTOR:
SECTION NO:
1. This exam has nine pages including this cover. There are nine questions.
2. Use of books, notes, or scratch paper is NO
Douglass Houghton Workshop, Section 2, Thu 12/8/11
Eric and the Crowd
1. As Eric works out in the CCRB, a crowd begins to form to watch him. In the beginning,
its just one person, but thereafter the rate at which people arrive is .12 times the
number of p
Douglass Houghton Workshop, Section 2, Tue 12/6/11
Worksheet Questions for the Ages
Kathleen
1. (Adapted from a Winter, 2005 Math 115 exam) As we know,
Kathleen plays 4 instruments, including piano. One day
when Cachet is working on a grounbreaking new da
Douglass Houghton Workshop, Section 2, Thu 12/1/11
Worksheet Partridge
1. (This problem appeared on a Winter, 2008 Math 115 exam) A
bellows has a triangluar frame made of three rigid pieces. Two
pieces, each 10 inches long, are hinged at the nozzle. They
Douglass Houghton Workshop, Section 2, Tue 11/29/11
Worksheet Out Among the Stars
1. Shortest Network. We found last week that some V newtorks can be improved to
a Y, and some cant. In particular, our big result was that:
If A, B , and C form an isosceles
Douglass Houghton Workshop, Section 2, Tue 11/22/11
Worksheet Never Say Never
1. Weve been working on the problem of nding the shortest road network between three
cities in the plane.
B
In the case we considered, the three cities were at the
x
corners of
Douglass Houghton Workshop, Section 2, Thu 11/3/11
Worksheet Labradoodle
1. Last time we thought about a parabolic mirror in the shape of the graph of y = 4x.
So far weve found:
y
A light ray y = b hits the mirror at P = (b2 /4, b).
The slope of the tange
Douglass Houghton Workshop, Section 2, Tue 11/1/11
Worksheet Koala
1. We still have this 1/z scale model of the White House,
which we plan on blowing up. We want to decide what
speed to run the lm at, so that when we slow it down
to 24 frames per second,
Douglass Houghton Workshop, Section 1, Mon 11/28/11
Worksheet Omnibus
1. Shortest Network. So far weve looked at the case where the cities are at the
corners of an isosceles triangle like the one at the right. We know:
When you have a Y-shaped network lik
Douglass Houghton Workshop, Section 1, Mon 11/21/11
Worksheet Nigh on Thanksgiving
1. Weve been working on the problem of nding the shortest road network between three
cities in the plane.
B
In the case we considered, the three cities were at the
x
corner
Douglass Houghton Workshop, Section 1, Wed 9/7/11
Worksheet Alpha
1. Find all the points where the graphs of y = x2 and y = 2x intersect.
2. When Olympic swimmer and former UM student Michael Phelps gets out of the pool,
he dries himself o with a towel. O
Torque, Center of Mass, and Moment
Heres an attempt to explain what center of mass is. We need a little bit of physics.
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6
Suppose we have a 6-foot board with a 10-pound bag of our on it. If we put a pivot under
the board, the our will create a torq
Physics concepts for Math 116
Here are, I think, all the physics concepts we will use in Math 116 this term. I wont do
them justice, of course; you should take Physics 140 for that. This is just a vocabulary
cheat-sheet.
Ive included units for all the qua
Math 116 First Midterm
October 13, 2010
Name:
EXAM SOLUTIONS
Instructor:
Section:
1. Do not open this exam until you are told to do so.
2. This exam has 11 pages including this cover. There are 8 problems. Note that the problems
are not of equal diculty,
Math 116 First Midterm
October 13, 2010
Name:
Instructor:
Section:
1. Do not open this exam until you are told to do so.
2. This exam has 0 pages including this cover. There are 0 problems. Note that the problems
are not of equal diculty, so you may want