Tide height as a function of time resembles a sinusoidal function during the time between low and high tide. At one such location on another planet with water, the tide has a high of 12.7 feet at 2 am and then the next low is -0.8 feet at 11 am (9 hours later). Find a formula for a sinusoidal function H(t) that gives the height tt hours after midnight.

Tide height as a function of time resembles a sinusoidal function during the time between low and high tide. At one such location on another planet with water, the tide has a high of 12.7 feet at 2 am and then the next low is -0.8 feet at 11 am (9 hours later). Find a formula for a sinusoidal function H(t) that gives the height tt hours after midnight.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Let sinA = 7/25 and sinB = -3/5 Solve sin(A+B)

Q: How can I write the function of cosecant with the the following give. Phase shift: pi / 8 to left…

A: Trigonometric function

Q: A ferris wheel is 10 meters in diameter and boarded from a platform that is 2 meters above the…

A: From the given information, we have to find the amplitude, midline, period, and your height after 1…

Q: Not drawn to scale 77. Angular Rate of Change An observer is standing 300 feet from the point at…

A: Given, an observer is standing 300 feet from the point at which a balloon is released. Let x = 300…

Q: Explain how to restrict the domain of the sine function so that it becomes a one-to-one function.

A: Here, the given function is, fx=sinx A function is one to one in a domain when, the function doesn't…

Q: The actual temperature inside an oven varies around the selected temperature. This variation can be…

A: Temperature inside an oven can be modeled with a sine function…

Q: 1. Draw the graph of the function defined by the equation z = sin 0 for values of 0 from -360° to…

A: z = sin theta is plotted below... The height of any point on Ferris wheel always follow the graph of…

Q: Why would a sine function be used to model the number of daylight hours?

A: We have to explain why a sine function is used to model the number of daylight hours.

Q: Shown is your author’s chart,beginning January 25, 2015, when he was 25,473 days old. We all have…

A: Consider the graph,To find:If you extend these sinusoidal graphs to the end of the year, is there a…

Q: Write a sinusoid equation for the given situation and clearly explain how you determined the…

Q: y y 70 70 60 60 50 50 40 40 30 30} 20 20 10 10 10 15 10 15 y y 70 70 60 60 50 50 40 40 30 30 20 20…

A: Consider the given table.

Question

Tide height as a function of time resembles a sinusoidal function during the time between low and high tide.

At one such location on another planet with water, the tide has a high of 12.7 feet at 2 am and then the next low is -0.8 feet at 11 am (9 hours later).

Find a formula for a sinusoidal function H(t) that gives the height tt hours after midnight.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Graph two full periods of the function f(x)=cos(2x) and state the amplitude and period. Amplitude A = period P =
what it means to have a change in amplitude and a change in period.
A ferris wheel is 27 meters in diameter and completes 1 full revolution in 8 minutes. A ferris wheel is 27 meters in diameter and boarded from a platform that is 1 meter above the ground. The 6 o'clock position on the Ferris Wheel is level with the loading platform. Th wheel conpletes 1 full revolution in 8 minutes. The function h(t) gives a person's height in meters above the ground t minutes after the wheel begins to turn. a. Find the amplitude, midline, and period of h(t). Enter exact answers b. Assume that a person has just boarded Ferris wheel from the platform and that the Ferris Wheel starts spinning at time t=0. Find a formula for the height function h(t). Hints: •What is the value of h(0) • Is this the maximum value of h(t), the minimum value of h(t), or a value between the two? • The function sin(t) has a value between its maximum and minimum at t=0, so can h(t) be a straight sine function? • The function cos(t) has its maximum at t=0, so can h(t) be a straight cosine…
The graph of the cosine function has been vertically compressed by a factor of 3, reflected in the y-axis, has a period of 720°, has been shifted left 60°, and has been shifted up 5. Write the equation of this function.
The population of arctic foxes in Yukon can be modelled by the following equation: P = 400 cos(30t - 180) + 1100 Where 't' represents the number of years since 1992. a. b. C. d. c. What was the population of arctic foxes in Yukon in 1992? What are the maximum and minimum number of arctic foxes? Sketch a graph that represents how the population of artic foxes changes over time (since 1992). What will be the population of arctic foxes in 2030? When was the first time the population of arctic foxes reached 1300 (since 1992)?
Sketch the graph of the function. y = 3 sin 2x/5
A cosine function has an amplitude of 1, period of, horizontal shift of -2π, and vertical shift of -3. What is the y-value of the negative function when x = πT? [?] y =
At noon, the tide is at mid tide of 11 feet. At 6:00 pm, the tide is at low tide of 3 feet. At 6:00 am, the tide is at its high tide of 19 feet. It takes 24 hours for the tide to complete a full cycle. Determine a sinusoidal function that models the tide height h as a function of time t(in hours). Let t = 0 correspond to noon. - High tide Mid tide Low tide d
grade 11 level math
Consider the following function. y = -3.5 cosx + 4) (a) Using pencil and paper, not a graphing utility, determine the amplitude, period, and phase shift for the function. amplitude period phase shift (b) Use a graphing utility to graph the function for two complete cycles. [In choosing an appropriate viewing rectangle, you will need to use the information obtained in part (a).] y y 4 4| 2. -12 \12 я - 12 12 л - 6 -2 2 -4 y y 4 4- 2 2 -3 12 л - 3 12 л - 9 -2 (c) Use the graphing utility to estimate the coordinates of the highest points on the graph. (Round your answers to two decimal places.) (x, y) = (smaller x-value) (x, y) = (| (larger x-value) Use the graphing utility to estimate the coordinates of the lowest points on the graph. (Round your answers to two decimal
A Ferris wheel has a diameter of 50 m and the center of the wheel is 28 m off the ground. It rotates once every 90 seconds. Write a sine function that represents the height of a passenger. 5.
A ferris wheel has a radius of 28 feet and completes 3 revolution in 1.5 minutes. Assume the nder begins at the lowest point of the wheel, 2 feet above ground level. Model the height of the rider, in feet above the ground, as a function of time in seconds, using a sine equation with only positive numbers in the final equation.