Mathematical Excursions (MindTap Course List)
4th Edition
ISBN: 9781305965584
Author: Richard N. Aufmann, Joanne Lockwood, Richard D. Nation, Daniel K. Clegg
Publisher: Cengage Learning
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Textbook Question
Chapter 13.3, Problem 2EE
Two groups of people were pan of a test to determine how long, in seconds, it took to solve a logic problem when exposed to different ambient noise levels. Group 1 was given the problem in a room where a constant decibel (dB) level of 65 dB was maintained. For Group 2, the decibel level was maintained at 30 dB. The results are shown in the stem-and-leaf diagram below.
a. How many people in Group I required more than 60 s to solve the problem?
b. How many people in Group 2 required more than 60 s to solve the problem?
c. By just looking at the stem-and-leaf diagram, which group appears to have the larger mean time to solve the problem?
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T1.4: Let ẞ(G) be the minimum size of a vertex cover, a(G) be the maximum size of an
independent set and m(G) = |E(G)|.
(i) Prove that if G is triangle free (no induced K3) then m(G) ≤ a(G)B(G). Hints - The
neighborhood of a vertex in a triangle free graph must be independent; all edges have at least
one end in a vertex cover.
(ii) Show that all graphs of order n ≥ 3 and size m> [n2/4] contain a triangle. Hints - you
may need to use either elementary calculus or the arithmetic-geometric mean inequality.
The graph of f(x) is given below. Select all of the true statements about the continuity of f(x) at x = -1.
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Select all that apply:
☐ f(x) is not continuous at x = -1 because f(-1) is not defined.
☐ f(x) is not continuous at x = −1 because lim f(x) does not exist.
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☐ f(x) is not continuous at x = −1 because lim ƒ(x) ‡ ƒ(−1).
☐ f(x) is continuous at x = -1
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Let h(x, y, z)
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(a) Holding all other variables constant, take the partial derivative of h(x, y, z) with
respect to x, 2 h(x, y, z).
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(b) Holding all other variables constant, take the partial derivative of h(x, y, z) with
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Chapter 13 Solutions
Mathematical Excursions (MindTap Course List)
Ch. 13.1 - Use linear interpolation to find the number that...Ch. 13.1 - Use linear interpolation to find the number that...Ch. 13.1 - A calculator shows that 21.414 and 31.732. Use...Ch. 13.1 - We know that 21=2 and 22=4 . Use linear...Ch. 13.1 - At the present time, a football player weighs 325...Ch. 13.1 - Find the mean, median, and mode(s), if any, for...Ch. 13.1 - Find the mean, median, and mode(s), if any, for...Ch. 13.1 - Find the mean, median, and mode(s), if any, for...Ch. 13.1 - Find the mean, median, and mode(s), if any, for...Ch. 13.1 - Find the mean, median, and mode(s), if any, for...
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