
Basic Technical Mathematics
11th Edition
ISBN: 9780134437705
Author: Washington
Publisher: PEARSON
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Chapter 11, Problem 33RE
To determine
To express: The expression
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2. (a) State Fermat's principle for the propagation of a light ray from point P at (x1,y1)
to Q at (x2, y2), expressing the principle as a problem in Calculus of Variations.
(b) Suppose c(y) is the speed of light in a medium, given by
c(y)
Y
where a is a constant. Find the path of a light ray between the points P: (−1,3)
and Q (1, 3). Is there more than one possible path?
(c) Sketch the path of the light ray, and interpret what an observer at Q would see if
there were a light source at P.
A. 90.6 square meters
B. 91.4 square meters
C. 92.5 square meters
D. 93.7 square meters
An ice cream cone is 10cm deep and 4cm across the opening of the cone. Two sphere-shaped scoops of ice cream, which also have diameters of 4cm, are placed on top of the cone. Use π≈3.14 and round your answers to the nearest hundredth.a) What is the volume of the cone?
cubic centimetersb) What is the total volume of the two sphere-shaped scoops of ice cream?
cubic centimeters
Chapter 11 Solutions
Basic Technical Mathematics
Ch. 11.1 - Simplify: a(x−1y3)2
Ch. 11.1 - Simplify:
Ch. 11.1 - Prob. 3PECh. 11.1 - Simplify: (3a)−1 − 3a−2
Ch. 11.1 - Prob. 1ECh. 11.1 - Prob. 2ECh. 11.1 - Prob. 3ECh. 11.1 - Prob. 4ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...
Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 8ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 10ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 12ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 14ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 16ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 20ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 22ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 24ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 26ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 28ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 34ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 36ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 38ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 40ECh. 11.1 - Prob. 41ECh. 11.1 - Prob. 42ECh. 11.1 - Prob. 43ECh. 11.1 - Prob. 44ECh. 11.1 - In Exercises 5–56, express each of the given...Ch. 11.1 - Prob. 46ECh. 11.1 - Prob. 47ECh. 11.1 - Prob. 48ECh. 11.1 - Prob. 49ECh. 11.1 - Prob. 50ECh. 11.1 - Prob. 51ECh. 11.1 - Prob. 52ECh. 11.1 - Prob. 53ECh. 11.1 - Prob. 54ECh. 11.1 - Prob. 55ECh. 11.1 - Prob. 56ECh. 11.1 - Prob. 57ECh. 11.1 - Prob. 58ECh. 11.1 - Prob. 59ECh. 11.1 - Prob. 60ECh. 11.1 - Prob. 61ECh. 11.1 - Prob. 62ECh. 11.1 - Prob. 63ECh. 11.1 - Prob. 64ECh. 11.1 - Prob. 65ECh. 11.1 - Prob. 66ECh. 11.1 - Prob. 67ECh. 11.1 - Prob. 68ECh. 11.1 - Prob. 69ECh. 11.1 - Prob. 70ECh. 11.1 - Prob. 71ECh. 11.1 - Prob. 72ECh. 11.1 - Prob. 73ECh. 11.1 - Prob. 74ECh. 11.1 - Prob. 75ECh. 11.1 - Prob. 76ECh. 11.1 - Prob. 77ECh. 11.1 - Prob. 78ECh. 11.2 - Prob. 1PECh. 11.2 - Prob. 2PECh. 11.2 - Prob. 3PECh. 11.2 - Prob. 4PECh. 11.2 - Prob. 1ECh. 11.2 - Prob. 2ECh. 11.2 - Prob. 3ECh. 11.2 - Prob. 4ECh. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - Prob. 18ECh. 11.2 - Prob. 19ECh. 11.2 - Prob. 20ECh. 11.2 - Prob. 21ECh. 11.2 - Prob. 22ECh. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 5–26, evaluate the given...Ch. 11.2 - In Exercises 27-30, use a calculator to evaluate...Ch. 11.2 - In Exercises 27-30, use a calculator to evaluate...Ch. 11.2 - In Exercises 27-30, use a calculator to evaluate...Ch. 11.2 - In Exercises 27-30, use a calculator to evaluate...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - In Exercises 31–54, simplify the given...Ch. 11.2 - Prob. 47ECh. 11.2 - In Exercises 31-54, simplify the given...Ch. 11.2 - Prob. 49ECh. 11.2 - Prob. 50ECh. 11.2 - Prob. 51ECh. 11.2 - Prob. 52ECh. 11.2 - Prob. 53ECh. 11.2 - Prob. 54ECh. 11.2 - Prob. 55ECh. 11.2 - Prob. 56ECh. 11.2 - Prob. 57ECh. 11.2 - Prob. 58ECh. 11.2 - Prob. 59ECh. 11.2 - Prob. 60ECh. 11.2 - Prob. 61ECh. 11.2 - Prob. 62ECh. 11.2 - Prob. 63ECh. 11.2 - Prob. 64ECh. 11.2 - Prob. 65ECh. 11.2 - Prob. 66ECh. 11.2 - Prob. 67ECh. 11.2 - Prob. 68ECh. 11.2 - Prob. 69ECh. 11.2 - Prob. 70ECh. 11.2 - Prob. 71ECh. 11.2 - Prob. 72ECh. 11.3 - Simplify:
Ch. 11.3 - Prob. 2PECh. 11.3 - Prob. 3PECh. 11.3 - Prob. 4PECh. 11.3 - Prob. 1ECh. 11.3 - Prob. 2ECh. 11.3 - Prob. 3ECh. 11.3 - Prob. 4ECh. 11.3 - Prob. 5ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 10ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 18ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 23ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 27ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 31ECh. 11.3 - Prob. 32ECh. 11.3 - Prob. 33ECh. 11.3 - Prob. 34ECh. 11.3 - Prob. 35ECh. 11.3 - Prob. 36ECh. 11.3 - Prob. 37ECh. 11.3 - Prob. 38ECh. 11.3 - Prob. 39ECh. 11.3 - Prob. 40ECh. 11.3 - Prob. 41ECh. 11.3 - Prob. 42ECh. 11.3 - Prob. 43ECh. 11.3 - Prob. 44ECh. 11.3 - Prob. 45ECh. 11.3 - In Exercises 5–66, write each expression in...Ch. 11.3 - Prob. 47ECh. 11.3 - Prob. 48ECh. 11.3 - Prob. 49ECh. 11.3 - Prob. 50ECh. 11.3 - Prob. 51ECh. 11.3 - In Exercises 5-66, write each expression in...Ch. 11.3 - Prob. 53ECh. 11.3 - Prob. 54ECh. 11.3 - Prob. 55ECh. 11.3 - Prob. 56ECh. 11.3 - Prob. 57ECh. 11.3 - In Exercises 5-66, write each expression in...Ch. 11.3 - Prob. 59ECh. 11.3 - In Exercises 5-66, write each expression in...Ch. 11.3 - Prob. 61ECh. 11.3 - Prob. 62ECh. 11.3 - Prob. 63ECh. 11.3 - Prob. 64ECh. 11.3 - Prob. 65ECh. 11.3 - Prob. 66ECh. 11.3 - Prob. 67ECh. 11.3 - Prob. 68ECh. 11.3 - Prob. 69ECh. 11.3 - Prob. 70ECh. 11.3 - Prob. 71ECh. 11.3 - Prob. 72ECh. 11.3 - Prob. 73ECh. 11.3 - Prob. 74ECh. 11.3 - Prob. 75ECh. 11.3 - Prob. 76ECh. 11.4 - Prob. 1PECh. 11.4 - Prob. 2PECh. 11.4 - Prob. 3PECh. 11.4 - In Exercises 1 and 2, simplify the resulting...Ch. 11.4 - Prob. 2ECh. 11.4 - Prob. 3ECh. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.4 - Prob. 9ECh. 11.4 - Prob. 10ECh. 11.4 - Prob. 11ECh. 11.4 - Prob. 12ECh. 11.4 - Prob. 13ECh. 11.4 - Prob. 14ECh. 11.4 - Prob. 15ECh. 11.4 - Prob. 16ECh. 11.4 - Prob. 17ECh. 11.4 - Prob. 18ECh. 11.4 - Prob. 19ECh. 11.4 - Prob. 20ECh. 11.4 - Prob. 21ECh. 11.4 - Prob. 22ECh. 11.4 - Prob. 23ECh. 11.4 - Prob. 24ECh. 11.4 - Prob. 25ECh. 11.4 - Prob. 26ECh. 11.4 - Prob. 27ECh. 11.4 - Prob. 28ECh. 11.4 - Prob. 29ECh. 11.4 - Prob. 30ECh. 11.4 - Prob. 31ECh. 11.4 - Prob. 32ECh. 11.4 - Prob. 33ECh. 11.4 - Prob. 34ECh. 11.4 - Prob. 35ECh. 11.4 - Prob. 36ECh. 11.4 - Prob. 37ECh. 11.4 - Prob. 38ECh. 11.4 - Prob. 39ECh. 11.4 - Prob. 40ECh. 11.4 - Prob. 41ECh. 11.4 - Prob. 42ECh. 11.4 - Prob. 43ECh. 11.4 - Prob. 44ECh. 11.4 - Prob. 45ECh. 11.4 - In Exercises 43–48, express each radical in...Ch. 11.4 - Prob. 47ECh. 11.4 - Prob. 48ECh. 11.4 - Prob. 49ECh. 11.4 - Prob. 50ECh. 11.4 - Prob. 51ECh. 11.4 - Prob. 52ECh. 11.4 - Prob. 53ECh. 11.4 - In Exercises 49–56, solve the given problems.
54....Ch. 11.4 - In Exercises 49–56, solve the given problems.
55....Ch. 11.4 - Prob. 56ECh. 11.5 - Prob. 1PECh. 11.5 - Prob. 2PECh. 11.5 - Prob. 3PECh. 11.5 - Prob. 4PECh. 11.5 - Prob. 1ECh. 11.5 - Prob. 2ECh. 11.5 - Prob. 3ECh. 11.5 - Prob. 4ECh. 11.5 - Prob. 5ECh. 11.5 - Prob. 6ECh. 11.5 - Prob. 7ECh. 11.5 - Prob. 8ECh. 11.5 - Prob. 9ECh. 11.5 - Prob. 10ECh. 11.5 - Prob. 11ECh. 11.5 - Prob. 12ECh. 11.5 - Prob. 13ECh. 11.5 - Prob. 14ECh. 11.5 - Prob. 15ECh. 11.5 - Prob. 16ECh. 11.5 - Prob. 17ECh. 11.5 - Prob. 18ECh. 11.5 - Prob. 19ECh. 11.5 - Prob. 20ECh. 11.5 - Prob. 21ECh. 11.5 - Prob. 22ECh. 11.5 - Prob. 23ECh. 11.5 - Prob. 24ECh. 11.5 - Prob. 25ECh. 11.5 - Prob. 26ECh. 11.5 - Prob. 27ECh. 11.5 - Prob. 28ECh. 11.5 - Prob. 29ECh. 11.5 - Prob. 30ECh. 11.5 - Prob. 31ECh. 11.5 - Prob. 32ECh. 11.5 - Prob. 33ECh. 11.5 - Prob. 34ECh. 11.5 - Prob. 35ECh. 11.5 - Prob. 36ECh. 11.5 - Prob. 37ECh. 11.5 - Prob. 38ECh. 11.5 - Prob. 39ECh. 11.5 - Prob. 40ECh. 11.5 - Prob. 41ECh. 11.5 - Prob. 42ECh. 11.5 - Prob. 43ECh. 11.5 - Prob. 44ECh. 11.5 - Prob. 45ECh. 11.5 - Prob. 46ECh. 11.5 - Prob. 47ECh. 11.5 - Prob. 48ECh. 11.5 - Prob. 49ECh. 11.5 - Prob. 50ECh. 11.5 - Prob. 51ECh. 11.5 - Prob. 52ECh. 11.5 - Prob. 53ECh. 11.5 - Prob. 54ECh. 11.5 - Prob. 55ECh. 11.5 - Prob. 56ECh. 11.5 - Prob. 57ECh. 11.5 - Prob. 58ECh. 11.5 - Prob. 59ECh. 11.5 - Prob. 60ECh. 11.5 - Prob. 61ECh. 11.5 - Prob. 62ECh. 11.5 - Prob. 63ECh. 11.5 - Prob. 64ECh. 11.5 - Prob. 65ECh. 11.5 - Prob. 66ECh. 11.5 - Prob. 67ECh. 11.5 - Prob. 68ECh. 11.5 - Prob. 69ECh. 11.5 - Prob. 70ECh. 11.5 - Prob. 71ECh. 11.5 - Prob. 72ECh. 11.5 - Prob. 73ECh. 11.5 - Prob. 74ECh. 11.5 - Prob. 75ECh. 11.5 - Prob. 76ECh. 11 - Prob. 1RECh. 11 - Determine each of the following as being either...Ch. 11 - Prob. 3RECh. 11 - Prob. 4RECh. 11 - Prob. 5RECh. 11 - Prob. 6RECh. 11 - Prob. 7RECh. 11 - Prob. 8RECh. 11 - Prob. 9RECh. 11 - Prob. 10RECh. 11 - Prob. 11RECh. 11 - Prob. 12RECh. 11 - Prob. 13RECh. 11 - Prob. 14RECh. 11 - Prob. 15RECh. 11 - In Exercises 7–34, express each expression in...Ch. 11 - Prob. 17RECh. 11 - Prob. 18RECh. 11 - Prob. 19RECh. 11 - Prob. 20RECh. 11 - Prob. 21RECh. 11 - Prob. 22RECh. 11 - Prob. 23RECh. 11 - Prob. 24RECh. 11 - Prob. 25RECh. 11 - Prob. 26RECh. 11 - Prob. 27RECh. 11 - In Exercises 7-34, express each expression in...Ch. 11 - In Exercises 7-34, express each expression in...Ch. 11 - Prob. 30RECh. 11 - Prob. 31RECh. 11 - Prob. 32RECh. 11 - Prob. 33RECh. 11 - In Exercises 7-34, express each expression in...Ch. 11 - Prob. 35RECh. 11 - Prob. 36RECh. 11 - Prob. 37RECh. 11 - Prob. 38RECh. 11 - Prob. 39RECh. 11 - Prob. 40RECh. 11 - Prob. 41RECh. 11 - Prob. 42RECh. 11 - Prob. 43RECh. 11 - Prob. 44RECh. 11 - Prob. 45RECh. 11 - Prob. 46RECh. 11 - Prob. 47RECh. 11 - Prob. 48RECh. 11 - Prob. 49RECh. 11 - Prob. 50RECh. 11 - Prob. 51RECh. 11 - Prob. 52RECh. 11 - Prob. 53RECh. 11 - Prob. 54RECh. 11 - Prob. 55RECh. 11 - Prob. 56RECh. 11 - Prob. 57RECh. 11 - Prob. 58RECh. 11 - Prob. 59RECh. 11 - Prob. 60RECh. 11 - Prob. 61RECh. 11 - Prob. 62RECh. 11 - Prob. 63RECh. 11 - Prob. 64RECh. 11 - Prob. 65RECh. 11 - Prob. 66RECh. 11 - Prob. 67RECh. 11 - Prob. 68RECh. 11 - Prob. 69RECh. 11 - Prob. 70RECh. 11 - Prob. 71RECh. 11 - Prob. 72RECh. 11 - Prob. 73RECh. 11 - Prob. 74RECh. 11 - Prob. 75RECh. 11 - Prob. 76RECh. 11 - Prob. 77RECh. 11 - Prob. 78RECh. 11 - Prob. 79RECh. 11 - Prob. 80RECh. 11 - Prob. 81RECh. 11 - Prob. 82RECh. 11 - Prob. 83RECh. 11 - Prob. 84RECh. 11 - Prob. 85RECh. 11 - Prob. 86RECh. 11 - Prob. 87RECh. 11 - Prob. 88RECh. 11 - Prob. 89RECh. 11 - Prob. 90RECh. 11 - Prob. 91RECh. 11 - Prob. 92RECh. 11 - Prob. 93RECh. 11 - Prob. 94RECh. 11 - Prob. 95RECh. 11 - Prob. 96RECh. 11 - Prob. 97RECh. 11 - Prob. 98RECh. 11 - Prob. 99RECh. 11 - Prob. 100RECh. 11 - Prob. 101RECh. 11 - Prob. 102RECh. 11 - Prob. 103RECh. 11 - Prob. 104RECh. 11 - Prob. 105RECh. 11 - Prob. 106RECh. 11 - Prob. 107RECh. 11 - Prob. 1PTCh. 11 - Prob. 2PTCh. 11 - Prob. 3PTCh. 11 - Prob. 4PTCh. 11 - Prob. 5PTCh. 11 - Prob. 6PTCh. 11 - Prob. 7PTCh. 11 - Prob. 8PTCh. 11 - Prob. 9PTCh. 11 - Prob. 10PTCh. 11 - Prob. 11PTCh. 11 - Prob. 12PTCh. 11 - Prob. 13PTCh. 11 - Prob. 14PTCh. 11 - Prob. 15PTCh. 11 - Prob. 16PT
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