Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 17, Problem 16AR
Round each of the following numbers to the indicated number of decimal places
a. 0.596 (2 places)
b. 5.0463 (3 places)
c. 0.80729 (4 places)
d. 7.0005 (3 places)
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7.
Suppose that X is a set, that I is a nonempty set, and that for each i Є I that Yi
is a set. Suppose that I is a nonempty set. Prove the following:2
(a) If Y; CX for all i EI, then Uiel Yi C X.
¹See Table 4.8.1 in zyBooks.
Recall:
Nie X₁ = Vi Є I (x = X₁) and x = Uier X₁ = i Є I (x Є Xi).
(b) If XCY; for all i Є I, then X Ciel Yi.
(c) U(x)=xnUY.
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8.
For each of the following functions, determine whether or not it is (i) injective
and/or (ii) surjective. Justify why or why not.
(a) fiZZ defined by fi(n) = 2n.
(b) f2 RR defined by f2(x) = x² − 4x+7.
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(c) f3 Z {0, 1} defined by f3(n) = 0 if n is even and f3(n) = 1 if n is odd.
(d) f4 Z N defined by f4(n) = 2n if n > 0 and f4(n) = -2n-1 if n < 0.
Chapter 17 Solutions
Mathematics for Machine Technology
Ch. 17 - Express each of the following fractions as...Ch. 17 - Prob. 2ARCh. 17 - Prob. 3ARCh. 17 - Prob. 4ARCh. 17 - Prob. 5ARCh. 17 - Prob. 6ARCh. 17 - Prob. 7ARCh. 17 - Prob. 8ARCh. 17 - How many complete pieces can be blanked from a...Ch. 17 - How many inches of bar stock are needed to make 30...
Ch. 17 - A shaft is turned at 200 per minute with a tool...Ch. 17 - A shop order calls for 1800 steel pins each...Ch. 17 - Prob. 13ARCh. 17 - Write each of the following numbers as words. a....Ch. 17 - Prob. 15ARCh. 17 - Round each of the following numbers to the...Ch. 17 - Prob. 17ARCh. 17 - Prob. 18ARCh. 17 - Prob. 19ARCh. 17 - Prob. 20ARCh. 17 - Raise each of the following values to the...Ch. 17 - Determine the roots of each of the following...Ch. 17 - Prob. 23ARCh. 17 - Find the decimal or fraction equivalents of each...Ch. 17 - Determine the nearer fractional equivalents of...Ch. 17 - Solve each of the following combined operations...Ch. 17 - Prob. 27ARCh. 17 - A combination of gage Nocks is selected to provide...Ch. 17 - A piece of round stock is being turned to a...Ch. 17 - A plate 57.20 millimeters thick is to be machined...Ch. 17 - A shaft is turned in a lathe at 120 revolutions...
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