Below you will find a set of arithmetic expressions presented for educational purposes. Each expression involves simple division. a) $ \frac{549}{4} $b) $ \frac{549}{2} $c) $ \frac{183}{2} $d) $ \frac{183}{4} $These expressions illustrate the basic concept of division. These examples could be utilized in educational materials to demonstrate how to solve division problems involving multi-digit numbers. Each division problem can be approached by breaking down the division process into smaller, more manageable steps, and practicing these exercises can significantly improve numerical proficiency. **Title: Modeling Daylight Hours with Mathematical Functions**The number of hours of sunlight in a particular location $ S(t) $ can be modeled by the function:\[ S(t) = 12 + 2 \cos\left(\frac{2\pi}{183}t\right) \]where $ t $ is the number of days after January 1st. (That is, $ t = 0 $ means January 1st.)### Problem Statement:After how many days will there be 12 hours of sunlight for the first time during the year?### Explanation:In this context:- $ t $ represents the number of days since January 1st.- The function $ S(t) $ models the varying number of daylight hours over the year, incorporating both constants and cosine function to simulate the daylight variation.

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Answered: 2π The number of hours of sunlight in a…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.5: Graphical Differentiation

Problem 2E

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2π The number of hours of sunlight in a particular location S(t) can be modeled by the function S(t) = 12+2cos -t, where t is the number 183 of days after January 1st. (That is, t = 0 means January 1st.) After how many days will there be 12 hours of sunlight for the first time during the year?