Elementary Technical Mathematics
11th Edition
ISBN: 9781285199191
Author: Dale Ewen, C. Robert Nelson
Publisher: Cengage Learning
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Textbook Question
Chapter 14.5, Problem 2E
Solve each triangle using the labels as shown in Illustration 1 (round lengths of sides to three significant digits and angles to the east tenth of a degree):
ILLUSTRATION 1
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3) Let R be a set of real number and d:R2 R R such that
d((x, y), (z, w)) = √(x-2)² + (y-w)² show that d is a metric on R².H.W
Use a graph of f to estimate lim f(x) or to show that the limit does not exist. Evaluate f(x) near x = a to support your conjecture. Complete parts (a) and (b).
x-a
f(x)=
1 - cos (4x-4)
3(x-1)²
; a = 1
a. Use a graphing utility to graph f. Select the correct graph below..
A.
W
→
✓
Each graph is displayed in a [- 1,3] by [0,5] window.
B.
in
✓
○ C.
und
☑
Use the graphing utility to estimate lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
x-1
○ A. The limit appears to be approximately ☐ .
(Round to the nearest tenth as needed.)
B. The limit does not exist.
b. Evaluate f(x) for values of x near 1 to support your conjecture.
X
0.9
0.99
0.999
1.001
1.01
1.1
f(x)
○ D.
+
☑
(Round to six decimal places as needed.)
Does the table from the previous step support your conjecture?
A. No, it does not. The function f(x) approaches a different value in the table of values than in the graph, after the approached values are rounded to the…
x²-19x+90
Let f(x) =
.
Complete parts (a) through (c) below.
x-a
a. For what values of a, if any, does lim f(x) equal a finite number? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
x→a+
○ A.
a=
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
B. There are no values of a for which the limit equals a finite number.
b. For what values of a, if any, does lim f(x) = ∞o? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
x→a+
A.
(Type integers or simplified fractions)
C. There are no values of a that satisfy lim f(x) = ∞.
+
x-a
c. For what values of a, if any, does lim f(x) = -∞0? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
x→a+
A. Either a
(Type integers or simplified fractions)
B.
Chapter 14 Solutions
Elementary Technical Mathematics
Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 5ECh. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 9ECh. 14.1 - Find each value rounded to four significant...
Ch. 14.1 - Prob. 11ECh. 14.1 - Find each value rounded to four significant...Ch. 14.1 - Prob. 13ECh. 14.1 - Graph each equation for value of x between 0 and...Ch. 14.1 - Prob. 15ECh. 14.1 - Graph each equation for value of x between 0 and...Ch. 14.1 - Prob. 17ECh. 14.1 - Prob. 18ECh. 14.1 - Prob. 19ECh. 14.1 - Graph each equation for values of x between 0 and...Ch. 14.1 - Prob. 21ECh. 14.1 - Prob. 22ECh. 14.1 - Prob. 23ECh. 14.1 - Prob. 24ECh. 14.1 - Prob. 25ECh. 14.1 - Prob. 26ECh. 14.1 - Prob. 27ECh. 14.1 - Prob. 28ECh. 14.1 - Prob. 29ECh. 14.1 - Prob. 30ECh. 14.1 - Prob. 31ECh. 14.1 - Prob. 32ECh. 14.1 - A radar unit operates at a wavelength of 3.4 cm....Ch. 14.1 - A local AM radio station broadcasts at 1400 kHz....Ch. 14.1 - Prob. 35ECh. 14.1 - Find the wavelength of water waves with frequency...Ch. 14.1 - Radio antennas are made so that the...Ch. 14.2 - Find the period and amplitude, and graph at least...Ch. 14.2 - Find the period and amplitude, and graph at least...Ch. 14.2 - Find the period and amplitude, and graph at least...Ch. 14.2 - Find the period and amplitude, and graph at least...Ch. 14.2 - Prob. 5ECh. 14.2 - Find the period and amplitude, and graph at least...Ch. 14.2 - Prob. 7ECh. 14.2 - Prob. 8ECh. 14.2 - Prob. 9ECh. 14.2 - Prob. 10ECh. 14.2 - Prob. 11ECh. 14.2 - Prob. 12ECh. 14.2 - Prob. 13ECh. 14.2 - Prob. 14ECh. 14.2 - Prob. 15ECh. 14.2 - Find the period amplitude, and phase shift, and...Ch. 14.2 - Prob. 17ECh. 14.2 - Prob. 18ECh. 14.2 - Prob. 19ECh. 14.2 - Prob. 20ECh. 14.2 - Prob. 21ECh. 14.2 - Prob. 22ECh. 14.2 - Prob. 23ECh. 14.2 - Prob. 24ECh. 14.3 - Solve each triangle using the labels as shown in...Ch. 14.3 - Solve each triangle using the labels as shown in...Ch. 14.3 - Solve each triangle using the labels as shown in...Ch. 14.3 - Solve each triangle using the labels as shown in...Ch. 14.3 - Prob. 5ECh. 14.3 - Prob. 6ECh. 14.3 - Prob. 7ECh. 14.3 - Prob. 8ECh. 14.3 - Prob. 9ECh. 14.3 - Prob. 10ECh. 14.3 - Prob. 11ECh. 14.3 - Prob. 12ECh. 14.3 - Prob. 13ECh. 14.3 - Prob. 14ECh. 14.3 - Prob. 15ECh. 14.3 - Prob. 16ECh. 14.3 - Find the distance AC across the river shown in...Ch. 14.3 - Find the lengths of rafters AC and BC of the roof...Ch. 14.3 - Find the distance AB between the ships shown in...Ch. 14.3 - Find the height of the cliff shown in Illustration...Ch. 14.3 - A contractor needs to grade the slope of a...Ch. 14.3 - A weather balloon is sighted from points A and B,...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - Prob. 11ECh. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - For each general triangle, a. determine the number...Ch. 14.4 - Prob. 16ECh. 14.4 - The owner of a triangular lot wishes to fence it...Ch. 14.4 - The average distance from the sun to the earth is...Ch. 14.4 - A manufacturer has moved into a new building and...Ch. 14.5 - Solve each triangle using the labels as shown in...Ch. 14.5 - Solve each triangle using the labels as shown in...Ch. 14.5 - Prob. 3ECh. 14.5 - Solve each triangle using the labels as shown in...Ch. 14.5 - Prob. 5ECh. 14.5 - Solve each triangle using the labels as shown in...Ch. 14.5 - Prob. 7ECh. 14.5 - Prob. 8ECh. 14.5 - Prob. 9ECh. 14.5 - Prob. 10ECh. 14.5 - Prob. 11ECh. 14.5 - Prob. 12ECh. 14.5 - Prob. 13ECh. 14.5 - a. Find angles A and ABC in the roof in...Ch. 14.5 - Prob. 15ECh. 14.5 - Prob. 16ECh. 14.5 - A plane flies 70.0 mi due north from its base...Ch. 14.5 - Prob. 18ECh. 14.5 - Prob. 19ECh. 14.5 - Prob. 20ECh. 14.5 - A room is shaped like a kite. The lengths of two...Ch. 14.5 - Prob. 22ECh. 14.5 - Prob. 23ECh. 14.5 - In the framework shown in Illustration 8, we know...Ch. 14.5 - Prob. 25ECh. 14.5 - Prob. 26ECh. 14.5 - Prob. 27ECh. 14.5 - Prob. 28ECh. 14.5 - An 8.00-ft antenna must be mounted on the roof of...Ch. 14.5 - Prob. 30ECh. 14.5 - Prob. 31ECh. 14.5 - A game preserve manager is fencing the triangular...Ch. 14 - Find each value rounded to four significant...Ch. 14 - Find each value rounded to four significant...Ch. 14 - Prob. 3RCh. 14 - Prob. 4RCh. 14 - Prob. 5RCh. 14 - Find the period and amplitude, and graph at least...Ch. 14 - Prob. 7RCh. 14 - Find the period, amplitude, and phase shift, and...Ch. 14 - Prob. 9RCh. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Solve each triangle using the labels as shown in...Ch. 14 - Find a. angle B and b. length x in Illustration 2....Ch. 14 - The centers of five holes are equally spaced...Ch. 14 - In the roof truss in Illustration 3, AB=DE,BC=CD,...Ch. 14 - Find each value rounded to four significant...Ch. 14 - Find each value rounded to four significant...Ch. 14 - Find the period, amplitude, and phase shift, and...Ch. 14 - Find angle B in Illustration 1 ILLUSTRATION 1Ch. 14 - Find angle C in Illustration1. ILLUSTRATION 1Ch. 14 - Find side c in Illustration 1. ILLUSTRATION 1Ch. 14 - Find angle C in Illustration 2. ILLUSTRATION 2Ch. 14 - Find angle B in Illustration 2. ILLUSTRATION 2Ch. 14 - Find angle A in Illustration 2. ILLUSTRATION 2Ch. 14 - Find the length of the rafter shown in...Ch. 14 - Prob. 11TCh. 14 - Prob. 1CRCh. 14 - Prob. 2CRCh. 14 - Prob. 3CRCh. 14 - Prob. 4CRCh. 14 - Prob. 5CRCh. 14 - Prob. 6CRCh. 14 - Prob. 7CRCh. 14 - Prob. 8CRCh. 14 - Prob. 9CRCh. 14 - Prob. 10CRCh. 14 - Prob. 11CRCh. 14 - Solve: 7xy=414x2y=8Ch. 14 - Prob. 13CRCh. 14 - Prob. 14CRCh. 14 - Prob. 15CRCh. 14 - Prob. 16CRCh. 14 - Prob. 17CRCh. 14 - Prob. 18CRCh. 14 - Prob. 19CRCh. 14 - Find tan67.2 rounded to four significant digits.Ch. 14 - Prob. 21CRCh. 14 - Prob. 22CRCh. 14 - Prob. 23CRCh. 14 - Prob. 24CRCh. 14 - Prob. 25CRCh. 14 - Prob. 26CRCh. 14 - Prob. 27CRCh. 14 - Prob. 28CRCh. 14 - Prob. 29CRCh. 14 - Prob. 30CR
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