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Calculus I Exam 1 - Fall 2004 (MAT 124) - Solutions for Sections 1.1 to 2.3, Exams of Calculus

Eastern Kentucky University (EKU)Calculus

Solutions for exam 1 of calculus i (mat 124) for sections 1.1 to 2.3. Students are required to indicate which collections of ordered pairs are functions, find the natural domain and estimate the range for a function, express the area of an equilateral triangle as a function of the side length, find parameters for an exponential equation, compute average and instantaneous velocity, and evaluate limits using the 'rule of three' or the squeeze theorem.

Typology: Exams

Pre 2010

Uploaded on 08/18/2009

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MAT 124 (Jones Fall 2004)
Calculus I
Exam 1 (Sections 1.1 - 2.3)
Place all solutions neatly on a separate sheet of paper; solutions written on the exam may not be
graded. Show all work for partial credit! Clearly write ID# - no names - on each sheet of paper
you turn in to be graded.
1. Indicate which of the following collections of ordered pairs are functions. Provide
explicit reasons for those collections you believe fail to be a function.
a.
b.
c. The collection of ordered pairs h is defined according to the table below:
x-2-101234
y4445566
d. The collection of order pairs k is defined according to the graph below:
2. Let .
a. Find the natural domain for f. b. Estimate the range for f.
pf2

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Download Calculus I Exam 1 - Fall 2004 (MAT 124) - Solutions for Sections 1.1 to 2.3 and more Exams Calculus in PDF only on Docsity!

MAT 124 (Jones Fall 2004) Calculus I Exam 1 (Sections 1.1 - 2.3)

Place all solutions neatly on a separate sheet of paper; solutions written on the exam may not be graded. Show all work for partial credit! Clearly write ID# - no names - on each sheet of paper you turn in to be graded.

  1. Indicate which of the following collections of ordered pairs are functions. Provide explicit reasons for those collections you believe fail to be a function. a. b. c. The collection of ordered pairs h is defined according to the table below: x -2 -1 0 1 2 3 4 y 4 4 4 5 5 6 6 d. The collection of order pairs k is defined according to the graph below:
  2. Let.

a. Find the natural domain for f. b. Estimate the range for f.

  1. Express the area of an equilateral triangle as a function of the length of a side.
  2. Consider the data below:

x 1 2 3 4 5 6 y 0.26667 0.35556 0.47407 0.6321 0.8428 1. Find parameters C and b so that the exponential equation models the above data.

  1. An object’s position on a coordinate line is given by

where is in feet and t is in seconds. a. Compute the average velocity for the object over the time interval from t = 2 to t = 3. b. Estimate the instantaneous velocity for the object at t = 2 accurate to the nearest hundredth. Explicitly support your answer. c. Is the particular moving left, moving right, or at rest at time t = 2?

  1. Evaluate the given limit, if possible, using one of the elements of the “rule of three.” (that is, support your work by using a table or graph or algebra.) a. b.

c. d.

e. f.

g. h.

  1. Use the Squeeze Theorem to find if.