Calculus for Phys./Life Sciences 1
Exam #1
Thursday, Sept. 21,
Stein 120
Bring a photo ID to the exam
The first exam covers Chapter 1 (Sections 1.1 , 1.2, 1.3, 1.5 and 1.6). The exam will be designed to take
an hour but you will have an extra 30 minutes to check your work.
You should go over the homework problems as
well as your class notes. Many of the problems and questions we discuss in
class are excellent examples of test questions. I have also listed some sample
problems from the Chapter 1 Review below. Answers to even numbered problems are
provided. I have also posted on the web site of the course a review sheet on
inverse functions and logarithms with practice problems and their answers.
You
may bring an 3x5 index card written on both sides to
the exam.
Note: You will be given a scientific calculator for the exam which does NOT
have graphing capabilities so be prepared to answer questions without your
personal calculator.
Cell phones and I-pods are not allowed during
the exam. Please leave them in your room or put them away in your backpack
(make sure cell phones are turned off).
Exam Review: We will review for the exam in Thursday's class,
Sept. 21. Please come prepared with specific questions.
Chapter 1 Review Exercises, pp. 84 - 85
Problems: 1, 5, 7, 8, 9, 13, 15, 17, 19, 22, 24, 25, 28 b), c)
The answers to the odd problems are in the
back of the book. The answers to the evens are:
8. Domain:
x>1; Range: all real numbers
22. a) y=6x+3000
b)
The slope of 6 means that each additional toaster produced adds $6 to the
weekly production cost.
c)
The y-intercept of 3000 represents the overhead cost – the cost incurred
without producing anything.
24. y=(1-x)/(2x-1)
28. b) t= - ln((1000-P)/(9P))= ln ((9P)/(1000-P))
This is the time required for the population to reach a given number P.
c) t=ln 81 (which is approx. 4.4) years