MATH 133 Calculus 1 with FUNdamentals, Fall 2013
Handout with Exercises: Sections 1.1 and 1.2
The rst chapter focuses on the major functions we will be studying throughout the semester. Many
of these functions are excellent models for real-world phenomeno
MATH 133-02 Calculus 1 with FUNdamentals, Fall 2013
Worksheet on Related Rates (Section 4.1)
Key Idea: If two quantities are related by some equation and both are changing with respect to
time, then we can use the given equation and the chain rule to rela
MATH 133-02 Quiz #5 Solutions
October 10, 2013
Prof. G. Roberts
1. The graph of the function g (x) is shown below.
Sketch the graph of g (x) on the axes provided. (5 pts.)
Answer:
2. Using one of the limit denitions of the derivative, nd f (2) for f (x) =
MATH 133-02, Calculus 1 with FUNdamentals
Sample Final Exam Questions
Prof. G. Roberts
1. (a) Find the equation of the linear function passing through the points (1, 4) and (2, 1).
(b) Find the equation of the exponential function passing through the poin
MATH 133 Calculus 1 with FUNdamentals, Fall 2013
Worksheet on Optimization Problems (Section 4.6)
Some comments:
1. Its all about the set up! Draw a picture and label variables. The eventual goal is to arrive at
a function of one variable representing a q
MATH 133 Calculus 1 with FUNdamentals, Fall 2013
Worksheet on Exponential Functions (Section 1.5)
Some reminders: The general form of an exponential function is f (x) = c ax where a is called
the base (c is an arbitrary constant). The base a is always ass
MATH 133-02
Calculus 1 with FUNdamentals
Exam #3 Solutions
November 26, 2013
Prof. G. Roberts
1. Calculate the derivative of each function. SIMPLIFY your answer as best as possible. (30
pts.)
5
+ 5x + e5
5
x
Answer: First, to avoid using the quotient rule
MATH 133-02
Exam #2 Solutions
Calculus I with FUNdamentals
October 31, 2013
Prof. G. Roberts
1. The graph of f (x) is shown below. Use it to answer each of the following questions. Note
that or are acceptable answers for the limit problems. (17 pts.)
(a)
MATH 133-02
Exam #1 SOLUTIONS
Calculus 1 with FUNdamentals
September 26, 2013
Prof. G. Roberts
1. The ENTIRE graph of f (x) is shown below. Use it to answer each of the following questions:
(27 pts.)
(a) What is the domain of f ? Answer: [3, 3]
(b) What i
MATH 133 Calculus 1 with FUNdamentals, Fall 2013
Worksheet on the Derivative (Section 2.6)
The Derivative: The slope of the tangent line is called the derivative. The notation for the
derivative at a particular point x = a is f (a), which is read as f pri