Mathematics: A Practical Odyssey
Mathematics: A Practical Odyssey
8th Edition
ISBN: 9781305104174
Author: David B. Johnson, Thomas A. Mowry
Publisher: Cengage Learning
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Chapter 10.2, Problem 36E
To determine

To find:

The estimated age of the wheel.

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On Feb. 8, this year, at 6am in the morning all UiB meteorology professors met to discuss a highly unfortunate and top-urgent crisis: Their most precious instrument, responsible for measuring the air temperature hour-by- hour, had failed - what if the Bergen public would find out? How would they plan their weekend without up-to-date air temperature readings? Silent devastation - and maybe a hint of panic, also - hung in the room. Apprentice Taylor, who - as always - was late to the meeting, sensed that this was his chance to shine! Could they fake the data? At least for some hours (until the measurements would work again)? He used to spend a lot of time online and thus knew the value of fake data, especially when it spread fast! He reminded the crying professors of a prehistoric project with the title "Love your derivatives as you love yourself!" - back then, they had installed top-modern technology that not only measured the air temperature itself, but also its 1st, 2nd, 3rd, 4th, and…
Consider a forest where the population of a particular plant species grows exponentially. In a real-world scenario, we often deal with systems where the analytical function describing the phenomenon is not available. In such cases, numerical methods come in handy. For the sake of this task, however, you are provided with an analytical function so that you can compare the results of the numerical methods to some ground truth. The population P(t) of the plants at time t (in years) is given by the equation: P(t) = 200 0.03 t You are tasked with estimating the rate of change of the plant population at t = 5 years using numerical differentiation methods. First, compute the value of P'(t) at t = 5 analytically. Then, estimate P'(t) at t = 5 years using the following numerical differentiation methods: ⚫ forward difference method (2nd-order accurate) 3 ⚫ backward difference method (2nd-order accurate) ⚫ central difference method (2nd-order accurate) Use h = 0.5 as the step size and round all…

Chapter 10 Solutions

Mathematics: A Practical Odyssey

Ch. 10.0A - In Exercises 1-12, find the value of u, v or b....Ch. 10.0A - Prob. 12ECh. 10.0A - Prob. 13ECh. 10.0A - Prob. 14ECh. 10.0A - Prob. 15ECh. 10.0A - Prob. 16ECh. 10.0A - Prob. 17ECh. 10.0A - Prob. 18ECh. 10.0A - Prob. 19ECh. 10.0A - Prob. 20ECh. 10.0A - Prob. 21ECh. 10.0A - In Exercises 19-26, rewrite the exponential...Ch. 10.0A - In Exercises 19-26, rewrite the exponential...Ch. 10.0A - Prob. 24ECh. 10.0A - Prob. 25ECh. 10.0A - In Exercises 19-26, rewrite the exponential...Ch. 10.0A - Prob. 27ECh. 10.0A - Prob. 28ECh. 10.0A - Prob. 29ECh. 10.0A - Prob. 30ECh. 10.0A - Prob. 31ECh. 10.0A - Prob. 32ECh. 10.0A - Prob. 33ECh. 10.0A - Prob. 34ECh. 10.0A - Prob. 35ECh. 10.0A - Prob. 36ECh. 10.0A - Prob. 37ECh. 10.0A - In Exercises 27-56, use a calculator to find each...Ch. 10.0A - Prob. 39ECh. 10.0A - Prob. 40ECh. 10.0A - Prob. 41ECh. 10.0A - In Exercises 27-56, use a calculator to find each...Ch. 10.0A - Prob. 43ECh. 10.0A - Prob. 44ECh. 10.0A - Prob. 45ECh. 10.0A - Prob. 46ECh. 10.0A - Prob. 47ECh. 10.0A - Prob. 48ECh. 10.0A - Prob. 49ECh. 10.0A - Prob. 50ECh. 10.0A - Prob. 51ECh. 10.0A - Prob. 52ECh. 10.0A - Prob. 53ECh. 10.0A - Prob. 54ECh. 10.0A - Prob. 55ECh. 10.0A - Prob. 56ECh. 10.0A - Prob. 57ECh. 10.0A - Prob. 58ECh. 10.0A - Prob. 59ECh. 10.0A - Prob. 60ECh. 10.0A - Prob. 61ECh. 10.0A - Prob. 62ECh. 10.0A - Prob. 63ECh. 10.0A - Prob. 64ECh. 10.0A - Prob. 65ECh. 10.0A - Prob. 66ECh. 10.0A - Prob. 67ECh. 10.0B - In Exercises 1-12, simplify by using the Inverse...Ch. 10.0B - Prob. 2ECh. 10.0B - Prob. 3ECh. 10.0B - Prob. 4ECh. 10.0B - In Exercises 1-12, simplify by using the Inverse...Ch. 10.0B - Prob. 6ECh. 10.0B - Prob. 7ECh. 10.0B - Prob. 8ECh. 10.0B - Prob. 9ECh. 10.0B - Prob. 10ECh. 10.0B - Prob. 11ECh. 10.0B - Prob. 12ECh. 10.0B - Prob. 13ECh. 10.0B - Prob. 14ECh. 10.0B - In Exercises 13-22, rewrite the given logarithm so...Ch. 10.0B - Prob. 16ECh. 10.0B - Prob. 17ECh. 10.0B - Prob. 18ECh. 10.0B - Prob. 19ECh. 10.0B - Prob. 20ECh. 10.0B - In Exercises 13-12, rewrite the given logarithm so...Ch. 10.0B - Prob. 22ECh. 10.0B - Prob. 23ECh. 10.0B - Prob. 24ECh. 10.0B - Prob. 25ECh. 10.0B - Prob. 26ECh. 10.0B - Prob. 27ECh. 10.0B - Prob. 28ECh. 10.0B - Prob. 29ECh. 10.0B - Prob. 30ECh. 10.0B - Prob. 31ECh. 10.0B - Prob. 32ECh. 10.0B - Prob. 33ECh. 10.0B - Prob. 34ECh. 10.0B - Prob. 35ECh. 10.0B - Prob. 36ECh. 10.0B - Prob. 37ECh. 10.0B - Prob. 38ECh. 10.0B - Prob. 39ECh. 10.0B - Prob. 40ECh. 10.0B - Prob. 41ECh. 10.0B - Prob. 42ECh. 10.0B - Prob. 43ECh. 10.0B - Prob. 44ECh. 10.0B - Prob. 45ECh. 10.0B - Prob. 46ECh. 10.0B - Prob. 47ECh. 10.0B - Prob. 48ECh. 10.0B - Prob. 49ECh. 10.0B - Prob. 50ECh. 10.0B - Prob. 51ECh. 10.0B - Prob. 52ECh. 10.0B - Prob. 53ECh. 10.0B - Prob. 54ECh. 10.0B - Prob. 55ECh. 10.0B - Prob. 56ECh. 10.0B - Prob. 57ECh. 10.0B - Prob. 58ECh. 10.0B - Prob. 59ECh. 10.0B - Prob. 60ECh. 10.0B - Prob. 61ECh. 10.0B - Prob. 62ECh. 10.0B - Prob. 63ECh. 10.0B - Prob. 64ECh. 10.0B - Prob. 65ECh. 10.0B - Prob. 66ECh. 10.0B - Exercises 59-70 refer to Example 10. You want to...Ch. 10.0B - Prob. 68ECh. 10.0B - Prob. 69ECh. 10.0B - Prob. 70ECh. 10.0B - Prob. 71ECh. 10.0B - Prob. 72ECh. 10.0B - Prob. 73ECh. 10.0B - Prob. 74ECh. 10.0B - Prob. 75ECh. 10.0B - Prob. 76ECh. 10.0B - Prob. 77ECh. 10.0B - Prob. 78ECh. 10.0B - Prob. 79ECh. 10.0B - Prob. 80ECh. 10.0B - Prob. 81ECh. 10.0B - Prob. 82ECh. 10.0B - Prob. 83ECh. 10.0B - Prob. 84ECh. 10.0B - Prob. 85ECh. 10.0B - Prob. 86ECh. 10.1 - Use the model p=30e0.0198026273t developed in...Ch. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - Prob. 10ECh. 10.1 - Prob. 11ECh. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - A biologist is conducting an experiment that...Ch. 10.1 - A university keeps a number of mice for psychology...Ch. 10.1 - Prob. 15ECh. 10.1 - In July 2012, Alvarado Niles bought a house for...Ch. 10.1 - An October 2009 article in The Industry Standard...Ch. 10.1 - According to a September9,2007, article in ZDNet,...Ch. 10.1 - The number of cell phone subscribers has been...Ch. 10.1 - Prob. 20ECh. 10.1 - Prob. 21ECh. 10.1 - In 1969, the National Academy of Sciences...Ch. 10.1 - Prob. 23ECh. 10.1 - Prob. 24ECh. 10.1 - Use the data in Exercise 22 to complete the...Ch. 10.1 - Prob. 26ECh. 10.1 - Prob. 27ECh. 10.1 - Prob. 28ECh. 10.1 - Prob. 29ECh. 10.1 - Prob. 30ECh. 10.1 - Prob. 31ECh. 10.1 - Prob. 32ECh. 10.1 - Prob. 33ECh. 10.1 - Prob. 34ECh. 10.1 - Prob. 35ECh. 10.1 - Prob. 36ECh. 10.1 - Prob. 37ECh. 10.1 - Prob. 38ECh. 10.1 - Prob. 39ECh. 10.1 - Prob. 40ECh. 10.1 - Prob. 41ECh. 10.2 - Using the model Q=20e0.086643397t developed in...Ch. 10.2 - Prob. 2ECh. 10.2 - Prob. 3ECh. 10.2 - Using the model Q=8.2e0.053319013t developed in...Ch. 10.2 - Silicon-31 is used to diagnose certain medical...Ch. 10.2 - Plutonium-238 is used as a compact source of...Ch. 10.2 - How long will it take 64grams of magnesium 28 to...Ch. 10.2 - Prob. 8ECh. 10.2 - How long will it take 500grams of plutonium-241 to...Ch. 10.2 - Prob. 10ECh. 10.2 - Prob. 11ECh. 10.2 - Prob. 12ECh. 10.2 - How long will it take a given quantity of...Ch. 10.2 - How long will it take a given quantity of...Ch. 10.2 - Prob. 15ECh. 10.2 - Prob. 16ECh. 10.2 - In March 2011, the Fukushima Daiichi nuclear power...Ch. 10.2 - Prob. 18ECh. 10.2 - Prob. 19ECh. 10.2 - Prob. 20ECh. 10.2 - A lab technician had 58 grams of a radioactive...Ch. 10.2 - A lab technician had 32 grams of a radioactive...Ch. 10.2 - In 1989, a Mayan codex a remnant of ancient...Ch. 10.2 - Two Ohlone Indian skeletons, along with burial...Ch. 10.2 - In 1940, beautiful prehistoric cave paintings of...Ch. 10.2 - Prob. 26ECh. 10.2 - An ancient parchment contained 70 of the expected...Ch. 10.2 - Prob. 28ECh. 10.2 - Prob. 29ECh. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - How much carbon-14 would you expect to find in a...Ch. 10.2 - Prob. 33ECh. 10.2 - A museum claims that one of its skeleton is 9,000...Ch. 10.2 - Prob. 35ECh. 10.2 - Prob. 36ECh. 10.2 - Prob. 37ECh. 10.2 - In Example 8, we determined that 0.891(or89.1) of...Ch. 10.2 - Prob. 39ECh. 10.2 - Prob. 40ECh. 10.2 - Prob. 41ECh. 10.2 - Prob. 42ECh. 10.2 - Prob. 43ECh. 10.2 - What does the phrase half-life mean?Ch. 10.2 - Prob. 45ECh. 10.2 - Prob. 46ECh. 10.2 - Prob. 47ECh. 10.2 - Prob. 48ECh. 10.2 - Prob. 49ECh. 10.2 - Prob. 50ECh. 10.2 - Prob. 51ECh. 10.2 - Prob. 52ECh. 10.2 - Prob. 53ECh. 10.2 - Prob. 54ECh. 10.2 - Prob. 55ECh. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 5-12, use the information in Figure...Ch. 10.3 - In Exercises 5-12, use the information in Figure...Ch. 10.3 - Prob. 7ECh. 10.3 - Prob. 8ECh. 10.3 - Prob. 9ECh. 10.3 - In Exercises 5-12, use the information in Figure...Ch. 10.3 - Prob. 11ECh. 10.3 - Prob. 12ECh. 10.3 - Shortly after the 1989 San Francisco quake, it was...Ch. 10.3 - Prob. 14ECh. 10.3 - Prob. 15ECh. 10.3 - Prob. 16ECh. 10.3 - In Exercises 16-20, find the decibel rating of the...Ch. 10.3 - Prob. 18ECh. 10.3 - In Exercises 16-20, find the decibel rating of the...Ch. 10.3 - Prob. 20ECh. 10.3 - Prob. 21ECh. 10.3 - In Exercises 21-24, find the dB gain for the given...Ch. 10.3 - Prob. 23ECh. 10.3 - Prob. 24ECh. 10.3 - If a single singer is singing at 74dB, how many...Ch. 10.3 - If a single singer is singing at 74dB, how many...Ch. 10.3 - Prob. 27ECh. 10.3 - Prob. 28ECh. 10.3 - Prob. 29ECh. 10.3 - If a single trumpet is playing at 78dB, how many...Ch. 10.3 - Prob. 31ECh. 10.3 - Find a rule of thumb for the dB gain if the number...Ch. 10.3 - Prob. 33ECh. 10.3 - Prob. 34ECh. 10.3 - Prob. 35ECh. 10.3 - Prob. 36ECh. 10.3 - Prob. 37ECh. 10.3 - Prob. 38ECh. 10.3 - Prob. 39ECh. 10.3 - Prob. 40ECh. 10.CR - In Exercise 1-3, find the value of x. x=log381Ch. 10.CR - Prob. 2CRCh. 10.CR - Prob. 3CRCh. 10.CR - Prob. 4CRCh. 10.CR - Prob. 5CRCh. 10.CR - Prob. 6CRCh. 10.CR - Prob. 7CRCh. 10.CR - Prob. 8CRCh. 10.CR - Prob. 9CRCh. 10.CR - Prob. 10CRCh. 10.CR - Prob. 11CRCh. 10.CR - Prob. 12CRCh. 10.CR - Prob. 13CRCh. 10.CR - Prob. 14CRCh. 10.CR - Prob. 15CRCh. 10.CR - Prob. 16CRCh. 10.CR - Prob. 17CRCh. 10.CR - Prob. 18CRCh. 10.CR - Prob. 19CRCh. 10.CR - Prob. 20CRCh. 10.CR - Prob. 21CRCh. 10.CR - Prob. 22CRCh. 10.CR - Prob. 23CRCh. 10.CR - Prob. 24CRCh. 10.CR - Prob. 25CRCh. 10.CR - Prob. 26CRCh. 10.CR - Prob. 27CRCh. 10.CR - Prob. 28CRCh. 10.CR - Prob. 29CRCh. 10.CR - Prob. 30CRCh. 10.CR - Prob. 31CRCh. 10.CR - Prob. 32CRCh. 10.CR - Prob. 33CRCh. 10.CR - Prob. 34CRCh. 10.CR - Prob. 35CR
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