Outside temperature over a day can be modeled as a sinusoidal function. Suppose youknow the temperature varies between 36 and 74 degrees during the day and theaverage daily temperature first occurs at 8 AM. How many hours after midnight, totwo decimal places, does the temperature first reach 46 degrees?hoursQuestion Help: D Post to forumSubmit Question

Answered: Outside temperature over a day can be…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Lesson 6.7 13. Meagan is sitting in a rocking chair. The distance, d(t), between the wall and the rear of the chair varies sinusoidally with time t. At t = 1 s, the chair is closest to the wall and d(1) – 18 cm. At r − 1.75 s, the chair is farthest from the wall and d(1.75) = 34 cm. a) What is the period of the function, and what does it represent in this situation? b) How far is the chair from the wall when no one is rocking in it? c) If Meagan rocks back and forth 40 times only, what is the domain of the function? d) e) What is the range of the function in part (c)? What is the amplitude of the function, and what does it represent in this situation? f) What is the equation of the sinusoidal function? What is the distance between the wall and the r chair at t = 8 s? 14. Summarize how you can determine the equation of a nusoidal function that represents real phenomena Q Search LC S sin hp 99+
*5. A water wheel (used for power in the 18th century) is illustrated to the right. Sketch a graph of the height of the bucket above the water (in feet) as a function of the angle of rotation (measured in radians) of the bucket from the 3 o'clock position. Label your axes. а. r= 11 feet Bucket stärts here Bottom of wheel is 2 feet above water water line b. Define a function f that represents the bucket's distance d above the water (in feet) as a function of the angle of rotation (measured in radians) of the bucket from the 3 o'clock position. Be sure to define your variables.
Trevor is riding on a swing at the park. For the given graph, determine the amplitude and the period.
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A Ferris wheel has a radius of 42.2 feet. The bottom of the Ferris wheel sits 0.7 feet above the ground. You board the Ferris wheel at the 6 o'clock position and rotate counter-clockwise. a. Write a function f that determines your height above the ground (in feet) in terms of the number of radians you have swept out from the 6 o'clock position, a. f(a) = Preview b. Write a function g, that determines your height above the ground (in feet) in terms of the number of feet you have traveled since you started rotating, s. 9(s) Preview
Write the equation for the function described. Write the equation described below: Write the equation described below: type of function: logarithmic base: 10 type of function: logarithmic base: 10 horizontal shift: none vertical shift: up 3 reflection #1: over y-axis reflection #2: over y = k horizontal shift: left 4 vertical shift: down 7 reflection #1: over y-axis reflection #2: none Equation: Equation:
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