Explanation Given information: The city of New Orleans is located 30 ∘ N. to check the accuracy of your model, use the fact that on March 31 the sun rises at 5:51 AM and sets at 6:18 PM in New Orleans. Calculation: Use the model: L ( t ) = d + a sin [ b ( t + c b ) ] Use the red graph in this case for 30 ∘ N and use the basic sine function as the parent function. The daylight lasts about 14 hours on June 21 and 10 hours on December 21, so the amplitude of the curve is a = 1 2 ( 14 − 10 ) = 2 ( vertical stretch )

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Chapter 1.3, Problem 21E

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To find: a function that models the number of hours of daylight at New Orleans as a function of the time of year.

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Chapter 1.3, Problem 20E

Chapter 1.3, Problem 22E

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Question 1: If a barometer were built using oil (p = 0.92 g/cm³) instead of mercury (p = 13.6 g/cm³), would the column of oil be higher than, lower than, or the same as the column of mercury at 1.00 atm? If the level is different, by what factor? Explain. (5 pts) Solution: A barometer works based on the principle that the pressure exerted by the liquid column balances atmospheric pressure. The pressure is given by: P = pgh Since the atmospheric pressure remains constant (P = 1.00 atm), the height of the liquid column is inversely proportional to its density: Step 1: Given Data PHg hol=hgx Poil • Density of mercury: PHg = 13.6 g/cm³ Density of oil: Poil = 0.92 g/cm³ • Standard height of mercury at 1.00 atm: hμg Step 2: Compute Height of Oil = 760 mm = 0.760 m 13.6 hoil = 0.760 x 0.92 hoil = 0.760 × 14.78 hoil = 11.23 m Step 3: Compare Heights Since oil is less dense than mercury, the column of oil must be much taller than that of mercury. The factor by which it is taller is: Final…

Chapter 1 Solutions

Biocalculus

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a function that models the number of hours of daylight at New Orleans as a function of the time of year.

Solution Summary: The author describes a function that models the number of hours of daylight at New Orleans based on the time of year.

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To find: a function that models the number of hours of daylight at New Orleans as a function of the time of year.

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Chapter 1 Solutions