Basic Technical Mathematics
Basic Technical Mathematics
11th Edition
ISBN: 9780134437705
Author: Washington
Publisher: PEARSON
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Chapter 13.7, Problem 38E
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= Question 4 (5pt): The Orchard Problem. Below is the graph y f(t) of the annual harvest (assumed continuous) in kg/year from my cranapple orchard t years after planting. The trees take about 25 years to get established, and from that point on, for the next 25 years, they give a fairly good yield. But after 50 years, age and disease are taking their toll, and the annual yield is falling off. 40 35 30 。 ៣៩ ថា8 8 8 8 6 25 20 15 10 y 5 0 0 5 10 15 20 25 30 35 40 45 50 55 60 The orchard problem is this: when should the orchard be cut down and re- planted, thus starting the cycle again? What you want to do is to maximize your average harvest per year over a full cycle. Of course there are costs to cutting the orchard down and replanting, but it turns out that we can ignore these. The first cost is the time it takes to cut the trees down and replant but we assume that this can effectively be done in a week, and the loss of time is negligible. Secondly there is the cost of the labour to cut…
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Chapter 13 Solutions

Basic Technical Mathematics

Ch. 13.1 - Prob. 9ECh. 13.1 - In Exercises 7–10, determine if the given...Ch. 13.1 - Prob. 11ECh. 13.1 - In Exercises 11–16, evaluate the exponential...Ch. 13.1 - Prob. 13ECh. 13.1 - Prob. 14ECh. 13.1 - Prob. 15ECh. 13.1 - Prob. 16ECh. 13.1 - Prob. 17ECh. 13.1 - Prob. 18ECh. 13.1 - Prob. 19ECh. 13.1 - Prob. 20ECh. 13.1 - Prob. 21ECh. 13.1 - Prob. 22ECh. 13.1 - Prob. 23ECh. 13.1 - Prob. 24ECh. 13.1 - Prob. 25ECh. 13.1 - Prob. 26ECh. 13.1 - Prob. 27ECh. 13.1 - Prob. 28ECh. 13.1 - Prob. 29ECh. 13.1 - Prob. 30ECh. 13.1 - Prob. 31ECh. 13.1 - Prob. 32ECh. 13.1 - Prob. 33ECh. 13.1 - Prob. 34ECh. 13.1 - Prob. 35ECh. 13.1 - Prob. 36ECh. 13.1 - Prob. 37ECh. 13.1 - Prob. 38ECh. 13.1 - Prob. 39ECh. 13.1 - In Exercises 3146, solve the given problems. 40. A...Ch. 13.1 - Prob. 41ECh. 13.1 - Prob. 42ECh. 13.1 - In Exercises 3146, solve the given problems. 43....Ch. 13.1 - Prob. 44ECh. 13.1 - Prob. 45ECh. 13.1 - Prob. 46ECh. 13.2 - Change 1252/3 = 25 to logarithmic form. Ch. 13.2 - Prob. 2PECh. 13.2 - Prob. 3PECh. 13.2 - Prob. 4PECh. 13.2 - Prob. 5PECh. 13.2 - Prob. 1ECh. 13.2 - Prob. 2ECh. 13.2 - Prob. 3ECh. 13.2 - Prob. 4ECh. 13.2 - In Exercises 5–16, express the given equations in...Ch. 13.2 - In Exercises 5–16, express the given equations in...Ch. 13.2 - In Exercises 5–16, express the given equations in...Ch. 13.2 - Prob. 8ECh. 13.2 - In Exercises 5–16, express the given equations in...Ch. 13.2 - Prob. 10ECh. 13.2 - In Exercises 5–16, express the given equations in...Ch. 13.2 - Prob. 12ECh. 13.2 - Prob. 13ECh. 13.2 - Prob. 14ECh. 13.2 - Prob. 15ECh. 13.2 - In Exercises 5–16, express the given equations in...Ch. 13.2 - In Exercises 17–28, express the given equations in...Ch. 13.2 - Prob. 18ECh. 13.2 - In Exercises 17–28, express the given equations in...Ch. 13.2 - In Exercises 17–28, express the given equations in...Ch. 13.2 - In Exercises 17–28, express the given equations in...Ch. 13.2 - Prob. 22ECh. 13.2 - Prob. 23ECh. 13.2 - Prob. 24ECh. 13.2 - Prob. 25ECh. 13.2 - Prob. 26ECh. 13.2 - Prob. 27ECh. 13.2 - Prob. 28ECh. 13.2 - In Exercises 29–44, determine the value of the...Ch. 13.2 - In Exercises 29–44, determine the value of the...Ch. 13.2 - In Exercises 29–44, determine the value of the...Ch. 13.2 - In Exercises 29–44, determine the value of the...Ch. 13.2 - In Exercises 29–44, determine the value of the...Ch. 13.2 - In Exercises 29–44, determine the value of the...Ch. 13.2 - In Exercises 29–44, determine the value of the...Ch. 13.2 - In Exercises 29–44, determine the value of the...Ch. 13.2 - Prob. 37ECh. 13.2 - Prob. 38ECh. 13.2 - Prob. 39ECh. 13.2 - Prob. 40ECh. 13.2 - Prob. 41ECh. 13.2 - Prob. 42ECh. 13.2 - Prob. 43ECh. 13.2 - Prob. 44ECh. 13.2 - Prob. 45ECh. 13.2 - Prob. 46ECh. 13.2 - Prob. 47ECh. 13.2 - Prob. 48ECh. 13.2 - Prob. 49ECh. 13.2 - Prob. 50ECh. 13.2 - Prob. 51ECh. 13.2 - Prob. 52ECh. 13.2 - Prob. 53ECh. 13.2 - Prob. 54ECh. 13.2 - Prob. 55ECh. 13.2 - Prob. 56ECh. 13.2 - Prob. 57ECh. 13.2 - Prob. 58ECh. 13.2 - Prob. 59ECh. 13.2 - Prob. 60ECh. 13.2 - Prob. 61ECh. 13.2 - Prob. 62ECh. 13.2 - Prob. 63ECh. 13.2 - Prob. 64ECh. 13.2 - Prob. 65ECh. 13.2 - Prob. 66ECh. 13.2 - Prob. 67ECh. 13.2 - Prob. 68ECh. 13.2 - Prob. 69ECh. 13.2 - Prob. 70ECh. 13.2 - Prob. 71ECh. 13.2 - Prob. 72ECh. 13.2 - Prob. 73ECh. 13.2 - Prob. 74ECh. 13.2 - Prob. 75ECh. 13.2 - Prob. 76ECh. 13.2 - Prob. 77ECh. 13.2 - Prob. 78ECh. 13.2 - Prob. 79ECh. 13.2 - Prob. 80ECh. 13.3 - Practice Exercises Express as a sum or difference...Ch. 13.3 - Prob. 2PECh. 13.3 - Prob. 3PECh. 13.3 - Prob. 4PECh. 13.3 - Prob. 1ECh. 13.3 - Prob. 2ECh. 13.3 - Prob. 3ECh. 13.3 - Prob. 4ECh. 13.3 - Prob. 5ECh. 13.3 - Prob. 6ECh. 13.3 - Prob. 7ECh. 13.3 - Prob. 8ECh. 13.3 - Prob. 9ECh. 13.3 - In Exercises 9–20, express each as a sum,...Ch. 13.3 - Prob. 11ECh. 13.3 - Prob. 12ECh. 13.3 - Prob. 13ECh. 13.3 - Prob. 14ECh. 13.3 - Prob. 15ECh. 13.3 - Prob. 16ECh. 13.3 - Prob. 17ECh. 13.3 - Prob. 18ECh. 13.3 - Prob. 19ECh. 13.3 - Prob. 20ECh. 13.3 - In Exercises 21–28, express each as the logarithm...Ch. 13.3 - In Exercises 21–28, express each as the logarithm...Ch. 13.3 - In Exercises 21–28, express each as the logarithm...Ch. 13.3 - In Exercises 21–28, express each as the logarithm...Ch. 13.3 - In Exercises 21–28, express each as the logarithm...Ch. 13.3 - In Exercises 21–28, express each as the logarithm...Ch. 13.3 - Prob. 27ECh. 13.3 - Prob. 28ECh. 13.3 - Prob. 29ECh. 13.3 - In Exercises 29–36, determine the exact value of...Ch. 13.3 - Prob. 31ECh. 13.3 - Prob. 32ECh. 13.3 - Prob. 33ECh. 13.3 - Prob. 34ECh. 13.3 - Prob. 35ECh. 13.3 - Prob. 36ECh. 13.3 - Prob. 37ECh. 13.3 - Prob. 38ECh. 13.3 - Prob. 39ECh. 13.3 - In Exercises 37–44, express each as a sum,...Ch. 13.3 - Prob. 41ECh. 13.3 - Prob. 42ECh. 13.3 - Prob. 43ECh. 13.3 - Prob. 44ECh. 13.3 - In Exercises 45–56, solve for y in terms of...Ch. 13.3 - In Exercises 45–56, solve for y in terms of...Ch. 13.3 - In Exercises 45–56, solve for y in terms of...Ch. 13.3 - Prob. 48ECh. 13.3 - Prob. 49ECh. 13.3 - Prob. 50ECh. 13.3 - Prob. 51ECh. 13.3 - Prob. 52ECh. 13.3 - Prob. 53ECh. 13.3 - Prob. 54ECh. 13.3 - In Exercises 45–56, solve for y in terms of...Ch. 13.3 - Prob. 56ECh. 13.3 - Prob. 57ECh. 13.3 - Prob. 58ECh. 13.3 - Prob. 59ECh. 13.3 - Prob. 60ECh. 13.3 - Prob. 61ECh. 13.3 - Prob. 62ECh. 13.3 - Prob. 63ECh. 13.3 - Prob. 64ECh. 13.3 - Prob. 65ECh. 13.3 - Prob. 66ECh. 13.3 - Prob. 67ECh. 13.3 - Prob. 68ECh. 13.3 - Prob. 69ECh. 13.3 - Prob. 70ECh. 13.4 - Prob. 1PECh. 13.4 - Prob. 2PECh. 13.4 - In Exercises 1 and 2, find the indicated values if...Ch. 13.4 - Prob. 2ECh. 13.4 - Prob. 3ECh. 13.4 - In Exercises 3–12, find the common logarithm of...Ch. 13.4 - Prob. 5ECh. 13.4 - Prob. 6ECh. 13.4 - Prob. 7ECh. 13.4 - Prob. 8ECh. 13.4 - Prob. 9ECh. 13.4 - Prob. 10ECh. 13.4 - Prob. 11ECh. 13.4 - Prob. 12ECh. 13.4 - In Exercises 13–20, find the antilogarithm of each...Ch. 13.4 - In Exercises 13–20, find the antilogarithm of each...Ch. 13.4 - Prob. 15ECh. 13.4 - In Exercises 13–20, find the antilogarithm of each...Ch. 13.4 - Prob. 17ECh. 13.4 - Prob. 18ECh. 13.4 - Prob. 19ECh. 13.4 - Prob. 20ECh. 13.4 - Prob. 21ECh. 13.4 - In Exercises 21–24, use logarithms to evaluate the...Ch. 13.4 - In Exercises 21–24, use logarithms to evaluate the...Ch. 13.4 - In Exercises 21–24, use logarithms to evaluate the...Ch. 13.4 - Prob. 25ECh. 13.4 - Prob. 26ECh. 13.4 - Prob. 27ECh. 13.4 - Prob. 28ECh. 13.4 - Prob. 29ECh. 13.4 - In Exercises 29–32, find the logarithms of the...Ch. 13.4 - Prob. 31ECh. 13.4 - Prob. 32ECh. 13.4 - Prob. 33ECh. 13.4 - Prob. 34ECh. 13.4 - Prob. 35ECh. 13.4 - Prob. 36ECh. 13.4 - Prob. 37ECh. 13.4 - Prob. 38ECh. 13.4 - Prob. 39ECh. 13.4 - Prob. 40ECh. 13.4 - Prob. 41ECh. 13.4 - Prob. 42ECh. 13.4 - Prob. 43ECh. 13.4 - Prob. 44ECh. 13.5 - Find log3 23. Ch. 13.5 - Prob. 2PECh. 13.5 - Prob. 3PECh. 13.5 - In Exercises 1 and 2, find the indicated values if...Ch. 13.5 - Prob. 2ECh. 13.5 - Prob. 3ECh. 13.5 - In Exercises 3–8, use logarithms to the base 10 to...Ch. 13.5 - Prob. 5ECh. 13.5 - Prob. 6ECh. 13.5 - Prob. 7ECh. 13.5 - Prob. 8ECh. 13.5 - Prob. 9ECh. 13.5 - In Exercises 9–14, use logarithms to the base 10...Ch. 13.5 - Prob. 11ECh. 13.5 - Prob. 12ECh. 13.5 - Prob. 13ECh. 13.5 - Prob. 14ECh. 13.5 - Prob. 15ECh. 13.5 - Prob. 16ECh. 13.5 - Prob. 17ECh. 13.5 - Prob. 18ECh. 13.5 - Prob. 19ECh. 13.5 - In Exercises 15–22, find the natural logarithms of...Ch. 13.5 - In Exercises 15–22, find the natural logarithms of...Ch. 13.5 - Prob. 22ECh. 13.5 - In Exercises 23–30, find the natural...Ch. 13.5 - In Exercises 23–30, find the natural...Ch. 13.5 - In Exercises 23–30, find the natural...Ch. 13.5 - In Exercises 23–30, find the natural...Ch. 13.5 - In Exercises 23–30, find the natural...Ch. 13.5 - In Exercises 23–30, find the natural...Ch. 13.5 - Prob. 29ECh. 13.5 - In Exercises 23–30, find the natural...Ch. 13.5 - Prob. 31ECh. 13.5 - Prob. 32ECh. 13.5 - Prob. 33ECh. 13.5 - Prob. 34ECh. 13.5 - Prob. 35ECh. 13.5 - Prob. 36ECh. 13.5 - Prob. 37ECh. 13.5 - Prob. 38ECh. 13.5 - Prob. 39ECh. 13.5 - Prob. 40ECh. 13.5 - Prob. 41ECh. 13.5 - Prob. 42ECh. 13.5 - Prob. 43ECh. 13.5 - Prob. 44ECh. 13.5 - Prob. 45ECh. 13.5 - Prob. 46ECh. 13.5 - Prob. 47ECh. 13.5 - In Exercises 39–54, solve the given...Ch. 13.5 - Prob. 49ECh. 13.5 - Prob. 50ECh. 13.5 - Prob. 51ECh. 13.5 - Prob. 52ECh. 13.5 - Prob. 53ECh. 13.5 - Prob. 54ECh. 13.6 - Solve for x: 2x+1 = 7 Ch. 13.6 - Prob. 2PECh. 13.6 - Prob. 3PECh. 13.6 - Prob. 1ECh. 13.6 - Prob. 2ECh. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - Prob. 6ECh. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - Prob. 9ECh. 13.6 - Prob. 10ECh. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - Prob. 12ECh. 13.6 - Prob. 13ECh. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - Prob. 17ECh. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - Prob. 20ECh. 13.6 - Prob. 21ECh. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - Prob. 23ECh. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - Prob. 26ECh. 13.6 - Prob. 27ECh. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - Prob. 29ECh. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - In Exercises 3–32, solve the given...Ch. 13.6 - Prob. 32ECh. 13.6 - Prob. 33ECh. 13.6 - In Exercises 33–42, use a calculator to solve the...Ch. 13.6 - Prob. 35ECh. 13.6 - Prob. 36ECh. 13.6 - Prob. 37ECh. 13.6 - Prob. 38ECh. 13.6 - Prob. 39ECh. 13.6 - Prob. 40ECh. 13.6 - Prob. 41ECh. 13.6 - Prob. 42ECh. 13.6 - Prob. 43ECh. 13.6 - Prob. 44ECh. 13.6 - Prob. 45ECh. 13.6 - Prob. 46ECh. 13.6 - Prob. 47ECh. 13.6 - Prob. 48ECh. 13.6 - Prob. 49ECh. 13.6 - Prob. 50ECh. 13.6 - Prob. 51ECh. 13.6 - Prob. 52ECh. 13.6 - Prob. 53ECh. 13.6 - Prob. 54ECh. 13.6 - Prob. 55ECh. 13.6 - Prob. 56ECh. 13.6 - Prob. 57ECh. 13.6 - Prob. 58ECh. 13.6 - Prob. 59ECh. 13.6 - Prob. 60ECh. 13.6 - Prob. 61ECh. 13.6 - Prob. 62ECh. 13.6 - Prob. 63ECh. 13.6 - Prob. 64ECh. 13.6 - Many exponential and logarithmic equations cannot...Ch. 13.6 - Prob. 66ECh. 13.7 - Prob. 1ECh. 13.7 - Prob. 2ECh. 13.7 - Prob. 3ECh. 13.7 - Prob. 4ECh. 13.7 - Prob. 5ECh. 13.7 - Prob. 6ECh. 13.7 - Prob. 7ECh. 13.7 - Prob. 8ECh. 13.7 - Prob. 9ECh. 13.7 - Prob. 10ECh. 13.7 - Prob. 11ECh. 13.7 - Prob. 12ECh. 13.7 - Prob. 13ECh. 13.7 - Prob. 14ECh. 13.7 - Prob. 15ECh. 13.7 - Prob. 16ECh. 13.7 - Prob. 17ECh. 13.7 - Prob. 18ECh. 13.7 - Prob. 19ECh. 13.7 - Prob. 20ECh. 13.7 - Prob. 21ECh. 13.7 - Prob. 22ECh. 13.7 - Prob. 23ECh. 13.7 - Prob. 24ECh. 13.7 - Prob. 25ECh. 13.7 - Prob. 26ECh. 13.7 - Prob. 27ECh. 13.7 - Prob. 28ECh. 13.7 - Prob. 29ECh. 13.7 - Prob. 30ECh. 13.7 - Prob. 31ECh. 13.7 - Prob. 32ECh. 13.7 - Prob. 33ECh. 13.7 - Prob. 34ECh. 13.7 - Prob. 35ECh. 13.7 - Prob. 36ECh. 13.7 - Prob. 37ECh. 13.7 - Prob. 38ECh. 13.7 - Prob. 39ECh. 13.7 - Prob. 40ECh. 13 - Prob. 1RECh. 13 - Prob. 2RECh. 13 - Prob. 3RECh. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Prob. 6RECh. 13 - Prob. 7RECh. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Prob. 11RECh. 13 - Prob. 12RECh. 13 - Prob. 13RECh. 13 - Prob. 14RECh. 13 - Prob. 15RECh. 13 - Prob. 16RECh. 13 - Prob. 17RECh. 13 - Prob. 18RECh. 13 - Prob. 19RECh. 13 - Prob. 20RECh. 13 - Prob. 21RECh. 13 - Prob. 22RECh. 13 - In Exercises 19–30, express each as a sum,...Ch. 13 - Prob. 24RECh. 13 - Prob. 25RECh. 13 - Prob. 26RECh. 13 - Prob. 27RECh. 13 - Prob. 28RECh. 13 - Prob. 29RECh. 13 - Prob. 30RECh. 13 - Prob. 31RECh. 13 - Prob. 32RECh. 13 - Prob. 33RECh. 13 - Prob. 34RECh. 13 - Prob. 35RECh. 13 - Prob. 36RECh. 13 - Prob. 37RECh. 13 - Prob. 38RECh. 13 - Prob. 39RECh. 13 - Prob. 40RECh. 13 - Prob. 41RECh. 13 - Prob. 42RECh. 13 - In Exercises 43–50, display the graphs of the...Ch. 13 - Prob. 44RECh. 13 - Prob. 45RECh. 13 - Prob. 46RECh. 13 - Prob. 47RECh. 13 - Prob. 48RECh. 13 - Prob. 49RECh. 13 - Prob. 50RECh. 13 - Prob. 51RECh. 13 - Prob. 52RECh. 13 - Prob. 53RECh. 13 - Prob. 54RECh. 13 - Prob. 55RECh. 13 - Prob. 56RECh. 13 - Prob. 57RECh. 13 - Prob. 58RECh. 13 - Prob. 59RECh. 13 - Prob. 60RECh. 13 - Prob. 61RECh. 13 - Prob. 62RECh. 13 - Prob. 63RECh. 13 - Prob. 64RECh. 13 - Prob. 65RECh. 13 - Prob. 66RECh. 13 - Prob. 67RECh. 13 - Prob. 68RECh. 13 - Prob. 69RECh. 13 - Prob. 70RECh. 13 - Prob. 71RECh. 13 - Prob. 72RECh. 13 - Prob. 73RECh. 13 - Prob. 74RECh. 13 - Prob. 75RECh. 13 - Prob. 76RECh. 13 - Prob. 77RECh. 13 - Prob. 78RECh. 13 - Prob. 79RECh. 13 - Prob. 80RECh. 13 - Prob. 81RECh. 13 - Prob. 82RECh. 13 - Prob. 83RECh. 13 - Prob. 84RECh. 13 - Prob. 85RECh. 13 - Prob. 86RECh. 13 - Prob. 87RECh. 13 - Prob. 88RECh. 13 - Prob. 89RECh. 13 - Prob. 90RECh. 13 - Prob. 91RECh. 13 - In Exercises 76–112, solve the given problems. 92....Ch. 13 - Prob. 93RECh. 13 - Prob. 94RECh. 13 - Prob. 95RECh. 13 - In Exercises 76–112, solve the given problems. 96....Ch. 13 - Prob. 97RECh. 13 - Prob. 98RECh. 13 - Prob. 99RECh. 13 - Prob. 100RECh. 13 - Prob. 101RECh. 13 - Prob. 102RECh. 13 - Prob. 103RECh. 13 - Prob. 104RECh. 13 - Prob. 105RECh. 13 - Prob. 106RECh. 13 - Prob. 107RECh. 13 - Prob. 108RECh. 13 - Prob. 109RECh. 13 - Prob. 110RECh. 13 - Prob. 111RECh. 13 - Prob. 112RECh. 13 - Prob. 113RECh. 13 - Prob. 1PTCh. 13 - Prob. 2PTCh. 13 - Prob. 3PTCh. 13 - Prob. 4PTCh. 13 - Prob. 5PTCh. 13 - Prob. 6PTCh. 13 - Prob. 7PTCh. 13 - Prob. 8PTCh. 13 - Prob. 9PTCh. 13 - Prob. 10PTCh. 13 - Prob. 11PTCh. 13 - Prob. 12PT
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