2. Water tides can be modelled using the function_h(t)=6.6sin[(t+3)]+7.8 where h(t) is the height of water at time t (in hours) after midnight. The height of the water at high tide is a m and the height of the water at low tide is d m. On a particular day, the first high tide occurs at midnight. (a) Using the information given to find the values of a and d. (b) Determine the length of time between two high tides. (c) Sketch the graph of the function. 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 P.10 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 22 (c) If the first high tide occurs at 06:00, how should we modify h(t) ? 23 24

2. Water tides can be modelled using the function_h(t)=6.6sin[(t+3)]+7.8 where h(t) is the height of water at time t (in hours) after midnight. The height of the water at high tide is a m and the height of the water at low tide is d m. On a particular day, the first high tide occurs at midnight. (a) Using the information given to find the values of a and d. (b) Determine the length of time between two high tides. (c) Sketch the graph of the function. 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 P.10 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 22 (c) If the first high tide occurs at 06:00, how should we modify h(t) ? 23 24

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.3: Solving Linear Equations

Problem 2TU: If you travel 300 miles on the first day and then drive v miles per hour for t hours on the second...

See similar textbooks

Similar questions

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.
If xis large, which function grows faster, f(x)=2x or g(x)=x2?
When examining the formula of a function that is the result of multiple transformations, how can you tell a horizontal stretch from a vertical stretch?
Use your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.
If you travel 300 miles on the first day and then drive v miles per hour for t hours on the second day, then the total distance traveled over the teo-day period is given by d=300+vt miles. Use a formula to express v as a function of d and t for this two-day event.
The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.
In this problem you are asked to find a function that models in real life situation and then use the model to answer questions about the guidelines on page 273 to help you. Minimizing Time A man stands at a point A on the bank of a straight river, 2 mi wide. To reach point B, 7 mi downstream on the opposite bank, he first rows his boat to point Pon the opposite bank and then walks the remaining distances x to B, as shown in the figure. He can row at a speed or 2 mi/h and walk as a speed of mi/h (a) Find a function that models the time needed for the trip. (b) Where should he land so that he reaches B as soon as possible?
bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?