Introductory Mathematics for Engineering Applications
Introductory Mathematics for Engineering Applications
1st Edition
ISBN: 9781118141809
Author: Nathan Klingbeil
Publisher: WILEY
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Chapter 1, Problem 42P

A thermostat control with dial marking from 0 to 100 is used to regulate the temperature of an oil bath. To calibrate the thermostat, the data for the temperature T ( ° F ) versus the dial setting R was obtained as shown in the table below:

T ( ° F ) R 110.0 20.0 40.0 40.0 The relationship between the temperature Tin Fahrenheit and the dial setting R satisfies the linear equation T ( ° F ) = a R + b . (a) Using the given data, find the equation of the line relating the temperature to the dial setting.

(h) Sketch the graph of T ( ° F ) as a function of R, and clearly indicate a and h on your graph.

(c) Calculate the thermostat setting needed to obtain a temperature of

320°F.

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The temperature at which water starts to boil​ (its boiling​ point) is linearly related to the altitude. At sea​ level, water boils at 212◦F. For every​ 1000-feet increase in​ altitude, the degrees Fahrenheit at which water will boil decreases by 1.9. If you are 8500 feet above sea​ level, what will the boiling point of water​ be?     The boiling point will be enter your response here°F. ​(Round answer to nearest hundredth of a​ degree.)
While it is often stated that the boiling point of water is 100°C (212°F), in reality water boils at different temperatures at different altitudes. Gerald collected data on the boiling point of water at different altitudes. His findings are as follows: Construct a scatter plot for this data on the graph. Use 1 centimeter on the horizontal axis to represent 1,000 feet. Use 1 centimeter on the vertical axis to represent 2°F from the interval of 180°F to 220°F. Sketch a line that appears to best fit the data and label a point on the graph for 3,200 feet.
While it is often stated that the boiling point of water is 100°C (212°F), in reality water boils at different temperatures at different altitudes. Gerald collected data on the boiling point of water at different altitudes. His findings are as follows: Construct a scatter plot for this data on the graph. Use 1 centimeter on the horizontal axis to represent 1,000 feet. Use 1 centimeter on the vertical axis to represent 2°F from the interval of 180°F to 220°F. Sketch a line that appears to best fit the data and label a point on the graph for 3,200 feet.   B. Write the equation for the line of best fit. C. Find the point you labeled for 3,200 feet. What is the corresponding temperature?   D. Find the altitude if the boiling point of water is 190°F.

Chapter 1 Solutions

Introductory Mathematics for Engineering Applications

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