Calculus 1
Fall 2013
Lab 3: Locate the Hole
x+7 2
has a hole. Your task is to determine the location of
x 1
this hole using approximation techniques (no fancy limit computations allowed).
Graph 1: The graph of f ( x) =
3
Lab Preparation: Answer the follow
Calculus 1
Fall 2013
Lab 4: Different Types of Limits
Lab Preparation: Answer the following questions individually and bring your write-up to class.
A. In Lab 3, you approximated the height of a hole in a graph above the x-axis. Suppose the hole
occurred
Calculus 1
Fall 2013
Lab 7: Linear Approximation
The NASA Q36 Robotic Lunar Rover can travel up to 3 hours on a single charge and has a range
of 1.6 miles. After leaving its base and traveling for t hours, the speed of the Q36 is given by the
function v (
Calculus 1
Fall 2013
Lab 5: The Derivative at a Point Part 1
Lab Preparation: Answer the following questions individually and bring your write-up to class.
A. Draw a full-page picture of the physical context in three different configurations (specified in
Calculus 1
Fall 2013
Lab 6: The Derivative at a Point Part 2
You will work with people who worked in groups on the other two contexts assigned. Teach
each other
i) The meaning of the important quantities in your context, especially the instantaneous rate
Calculus 1
Fall 2013
Lab 9: Optimization
Lab: For your groups problem,
a. Draw a diagram with all relevant constants and variables labeled.
b. Write a function expressing the quantity to be minimized/maximized as a function of one
other variable. Show all
Calculus 1
Fall 2013
Lab 2: Rates and Amounts of Change Part 2
Instructions: Each member of your group worked on a different question from Lab 1. In this lab, you will discuss
the answers to all four problems then write up all of the solutions individuall
Calculus 1
Fall 2013
Lab 12: Definite Integrals Part 1
Work with your group on the context assigned to you. We encourage you to collaborate both in and
out of class, but you must write up your responses individually.
Context 1: For a constant force* F to
Calculus 1
Fall 2013
Lab 10: Optimization part 2
Instructions: You will work with two people who worked on different questions in Lab 9. Write
up all parts of your groups three numbered questions. Note that the questions have been
generalized by replacing
Calculus 1
Fall 2013
Lab 13: Definite Integrals Part 2
Work with your group on the context assigned to you. We encourage you to collaborate both in and
out of class, but you must write up your responses individually.
Context 1: For a constant force* F to
Calculus 1
Fall 2013
Lab 11: Related Rates
Lab Preparation: For both of your groups problem,
a. Draw a diagram with all relevant constants and variables labeled.
b. Identify the rates (as derivatives of variables that you identified) that will be used in