NAME
Student Number
UNIVERSITY OF TORONTO
Faculty of Arts and Science
April 2013 Examinations
JMB17OY1Y
Duration 3 hours
Examiner: J. Repka
This exam is open book: books, notes, and other papers are p
0:
NAME
Student Number
UNIVERSITY OF TORONTO
Faculty of Arts and Science
April 2015 Examinations
JMB170Y1Y
Duration 3 hours
Examiner: J. Repka
This exam is open-book: books, notes, and other papers ar
NAME
Student Number
UNIVERSITY OF TORONTO
Faculty of Arts and Science
April 2014 Examinations
JMBl70Y1Y
Duration 3 hours
Examiner: J. Repka
This exam is openbook: books, notes, and other papers ar
CH3CH2COOH(aq) + H2O(l) CH3CH2COO(aq) + H3O+(aq)
Propanoic acid, CH3CH2COOH, is a carboxylic acid that reacts with water according to the equation above.
At 25C the pH of a 50.0 mL sample of 0.20 M C
MATH 11011
COMPOSITION FUNCTIONS
KSU
Denition:
Composition function: Given two functions f and g, the composition function f g is dened by
(f g) (x) = f (g(x).
In other words, given a number x, we rs
Let = the cost of surviving one period,
= the probability of nding food per period,
= the risk of predation per period,
V = the value of food, if found.
V
2
2
Patch #1
Patch #2
0
0.5
0
0.5
0
4
Initi
Writing Assignment
DUE DATE: FEB 13
THIS IS NOT THE SAME AS LAST YEARS
THIS IS NOT THE SAME AS BIO120 OR OTHER
CLASSES
Randomly assigned a topic
500 words to explain:
What the topic is
Why it is i
x
JMB170
Problems #13
Integration
Hand in only the even-numbered questions.
due Friday March 6, 2015
Evaluate:
1.
3.
5.
7.
9.
11.
3
3x2 dx
1
2
(4x3 4x +
0
2 3
(t 2) dt
0
9
x dx
0
2 1
dx
1 x2
cos d
0
JMB170 Problems #11. Max/min Problems
due Friday, February 6, 2015 (even numbers only)
Find the maximum and minimum values of each of the following functions on the specied
interval, stating where ea
JMB170
Problems #10
Hand in the even-numbered questions only
due at the beginning of class, Friday January 16, 2015
Find the derivative of each of the following:
1. (x + 1)(x3 4)
3. (x4 + x3 )(3x2 2x
JMB 170
Problem Set #5 (Logistic Growth)
due Wednesday, October 22, 2014
at the beginning of class
K
1. Find a formula for the time t at which the logistic population P (t) = 1+er(dt) reaches
57% of t
JMB170Y Problem Set #3
due Friday, October 3, 2014
1. A careless researcher has measured the lengths, weights and surface areas of ve specimens from a lab population of worms. The data are the follow
Regression Problems
JMB170
due Wednesday September 17, 2014
Hand in all exercises for which the answers do not appear below. You may work together,
but the work you hand in must be your own. It must