Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Guidelines and tips
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Math 106A&B Exam I: Population Growth and Integration, Exams of Calculus
A portion of an exam from math 106a&b, focusing on population growth and integration. Students are asked to find the integral of a population growth rate function using the given data and to estimate the population at a specific time based on that data. Additionally, they are asked to use the method of substitution to find the integrals of specific functions. Useful for university students taking calculus or mathematics courses.
Typology: Exams
2012/2013
1 / 5
This page cannot be seen from the preview
Don't miss anything!
Related documents
Partial preview of the text
Download Math 106A&B Exam I: Population Growth and Integration and more Exams Calculus in PDF only on Docsity!
Math 106A&B INITIALS Exam I, page 2. September 29, 2006
- Suppose the rate of change in population c(t) in thousands of organisms per hour is measured and the results put into a table as follows:
time: 1:30 1:45 2:00 2:15 2:30 2:45 3:00 3:15 3:30 3:45 4: c(t): 1.1 1.2 1.4 1.8 2.6 4.2 7.4 13.8 26.6 52.2 103.
a. What does the integral
2:
c(t) dt represent? (Watch your limits!)
b. Find each of the following estimates of the integral in (a) using only the information in the table. If the table doesn’t supply the information needed, explain why not. T 3
M 6
S 6
c. Is T 3 an under- or over-approximation of the integral in (a)? Explain!
d. If the population at 3:30 was 46 (thousand) what is your best estimate for the population at 2:00?