Sinusoidal modeling: use your knowledge of amplitude, period, vertical translations, and horizontal translations along with your higher order of thinking skills to find functions that model the following. 3. On a particular day the high tide occurs at 7:12 am. At that time you measure thedepth of the water off a pier to be 11 ft. At 1:24 pm it is low tide and you measurethe water to be only 7 ft. deep. Model the depth of the water as a function of timesince midnight.

We need to find sinusoidal function.

3. On a particular day the high tide occurs at 7:12 am. At that time you measure the depth of the water off a pier to be 11 ft. At 1:24 pm it is low tide and you measure the water to be only 7 ft. deep. Model the depth of the water as a function of time since midnight.

3. On a particular day the high tide occurs at 7:12 am. At that time you measure the depth of the water off a pier to be 11 ft. At 1:24 pm it is low tide and you measure the water to be only 7 ft. deep. Model the depth of the water as a function of time since midnight.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.5: Transformation Of Functions

Problem 4SE: When examining the formula of a function that is the result of multiple transformations, how can you...

See similar textbooks

Related questions

Q: 8. According to an Insurance Company, the percentage of accidents caused by teenagers texting while…

A: A linear function in one variable that represents a line graphically. The gradient of the line is…

Q: Solve the following problems completely. 1. If a body whose temperature is initially 200° C is…

A: Use Newton's law of cooling

Q: A $60 pair of jeans is on sale for 20% off, if we purchase the jeans before noon they are an…

A: A pair of jean is cost at $60 and it has a discount of 20%, if we purchased the pair of jeans before…

Q: If the total population of deer on an island as a function of years is 1000-900e-0.02t then the…

A: For a positive number n, the logarithm of n is the power to which some number b must be raised to…

Q: Suppose that a sum Po is invested at an annual rate of return r compounded continu- ously. (a) Find…

Q: 1. Suppose that the percentage of U.S households with broad-band Internet ac- cess is modeled by the…

A: (b)The above graph has a horizontal asymptote at towards the right-end.This means that the…

Q: A 2005 study by the Fisheries Research Services in Aberdeen, Scotland, suggests that the average…

Q: Some of the highest tides in the world occur in the Bay ofFundy on the Atlantic Coast of Canada. At…

A: We have to find the speed at which the tide is rising (or falling) at the given times.

Q: 1) A microorganism is observed to double its population every 3 weeks. Supposed that there were 10…

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the…

Q: The half-life of palladium-100 is 4 days. After 20 days a sample has been reduced to a mass of 0.375…

Q: d) Compare the predicted change in greenhouse gas emissions between 2020 and 2025 to the change…

A: Given: The function rule for G(t) is Gt=-258.8182t+6558 where, t is the number of years since 2019.…

Q: e) A function of degree 3 with turning points at (-3, 2) and (4, -2) and a < 0 6- 4- 2- -2 4. 6. 8.…

A: We need to plot graph.

Q: Suppose an investor starts with ten million dollars $10^7 and loses 25% of their fortune every week.…

A: Calculate the amount of money remaining after 1st week and second week. Thus, determine the amount…

Q: Suppose that a person is taking a walk along a long straight path and walks at a constant rate of…

A: Solve the following

Q: Since the start of the year, the price of gasoline has been decreasing at the cost of 5 cents per…

A: We have given that the start of the year, the price of gasoline has been decreasing at the cost of…

Q: The population of North Carolina (NC) in Year 2000 was approximately 4,300,000 with an annual…

Q: 2. In two counties, the rate at which people get vaccinated (in individuals per day) is shown as a…

Q: Question 6 of 10, Step 1 of 1 Correct The total number of sales of a spy novel is modeled by the…

A: Given, F(x) = 18245 (1.021)x To find = Initial Total No. of sale

Q: After its fastest rate of growth ever during the 1980s and 1990s, the rate of growth of world…

A: We should recognise the t and do the appropriate calculations.

Q: If the total population of deer on an island as a function of years is 1000 –990e-0.02t then the…

Q: The number of bacteria in a culture was initially 8000 and it was 12,400 after 2 hours. find a…

Q: In mid to late March a COVID analyst predict the number of US cases could be modeled by the function…

A: Given: In mid late March a COVID analyst predict the number of US cases could be modeled by the…

Q: Suppose that the price p, in dollars, and the number of sales, x, of a certain item follow the…

A: Differentiate wrt t

Q: The wind-chill index (in degrees C) is modeled by the function W = 13.12 + 0.62157 – 11.37v0.16 +…

A: W = 13.12 + 0.6215T - 11.37v0.16 + 0.3965Tv0.16dWdT = 0.6215 + 0.3965v0.16at t= -10°c and v =…

Q: 2. An object is dropped from a stationary balloon at 500m. (a--9.8m/s²)( a. Express the object's…

A: This is a problem related to newton's law of motion. By using general formula of motion's we will…

Q: Suppose we have a tank that contain 10 litres of water and 50 g of salt. The salt solution is…

A: given , tank that contain 10liters of water and 50 gram of salt . so , initial concentration =>…

Q: 3. Suppose you take a car trip, traveling east along a very long highway, starting at time t = 0.…

A: Answer is mentioned below

Q: A 55 mg of a vaccine is given to a patient to prevent measles. The vaccine leaves the body at a…

A: initial mass of vaccine given is 55 mg. It is leaving the body at the rate of 5.3% per hour.

Q: Assume that A(p) gives the consumer approval percentage as a function of p. 1. Estimate A'(3500). Is…

A: Consider the given: Hello. Since your question has multiple sub-parts, we will solve first three…

Q: (1) Assuming the rate of leakage decreased linearly from 62000 to 53000 barrels per day during the…

A: Consider the provided question, The function f(t) for the daily rate of leakage in terms of time t…

Q: Some of the highest tides in the world occur in the Bay of Fundy on the Atlantic Coast of Canada. At…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is to find the rate…

Q: The cost of an appliance whose purchase price is $600 and annual hydro cost is $115 is given by the…

Q: A bacteria colony grow at a rate of 11% per year. If the initial sample has a mass of 500 grams,…

A: Solution:- function is missing in the question , but according to formula i have solved the…

Q: Suppose an investor starts with ten million dollars $107 and loses 25% of their fortune every week.…

A: Amount is in dollors($)t =time in daysA(t) = Amount at any time 't'A0 = Amount at time t = 0…

Q: A body of unknown temperature is placed in a refrigerator at a constant temperature of 0°F. If after…

Q: = a A person's intelligence quotient (IQ) is measured by the function I(m, a) = 100m where a is the…

A: This question can be solved using the concept of rate of change of quantities.

Q: D) Compare the predicted change in greenhouse gas emissions between 2020 and 2025 to the change…

A: We are given the following data. By the part (a), we get the rule for an exponential function E(t)…

Q: A ball is thrown straight down from the top of a 300-ft building with an initial velocity of -12 ft…

A: We need to find the velocity after 4 seconds

Q: Some of the highest tides in the world occur in the Bay of Fundy on the Atlantic Coast of Canada. At…

A: Given Dt=6+7cos0.503t-6.75 We must find the rate of change We will use derivative method Then ,we…

Q: 1. A truck that delivers essentials in remote areas can travel 85 kilometers. Which of the following…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: For each of the scenarios below, construct a graph of the height of the water in the bottle as a…

A: Note: numerical values are not mentioned as per the question. For each scenario below, we will…

Q: 7. If the number of bees in a beehive are modeled by the function 6(t) = te +1 thousand bees, where…

A: The number of bees in a beehive modeled by b(t)=te-t210+1 thousand bees,where t is in months past…

Q: On a desert island lives a colony of extremely active dormouse. The population are given by time t…

A: function of population by the time t(in months) is given by y(t)=10004+t-12πcosπ6t Table for the…

Q: 11. The profit, P, in dollars, of a company is a function of the number of tons of cement, C, it has…

A: Given p(c)=2000-2c^2-1000 a. Find dp/dc b. Find dp/dt

Q: Here is the graph of days and the predicted number of hours of sunlight, h, on the d-th day of the…

A: 1. Note that any vertical line can intersects the graph at most one point. Therefore, the answer is…

Q: Question c

A: Inflection points are points where the concavity of a function changes f, i.e. from being "concave…

Q: 7. If the number of bees in a beehive are modeled by the function b(t) = te +1 thousand bees, where…

Q: 2. In a community of 10000 people, the rate at which a rumor spreads is jointly proportional to the…

A: Let ‘n’ be the number of people who have heard the rumor 10000-n be the number of people who have…

Q: Compare the predicted change in greenhouse gas emissions between 2020 and 2025 to the change between…

A: We are given the following data. By the part (a), we get the rule for an exponential function E(t)…

Q: Some of the highest tides in the world occur in the Bay of Funday on the Atlantic Coast of Canada.…

Question

Sinusoidal modeling: use your knowledge of amplitude, period, vertical translations, and horizontal translations along with your higher order of thinking skills to find functions that model the following.

3. On a particular day the high tide occurs at 7:12 am. At that time you measure the
depth of the water off a pier to be 11 ft. At 1:24 pm it is low tide and you measure
the water to be only 7 ft. deep. Model the depth of the water as a function of time
since midnight.

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Use your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.
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?
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?
When examining the formula of a function that is the result of multiple transformations, how can you tell a horizontal compression from a vertical compression?
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. Bird Flight A bird is released from point A on an island. 5 mi from the nearest point Bon a straight shoreline. The bird flies to a point C on the shoreline and then flies along the shoreline to its nesting area D (see the figure). Suppose the bird requires 10 Kcal/mi of energy to fly over land md 14 kcal/mi to fly over water. a) Use the fact that energy used = energy per mile X miles flown to show that the total energy used by the bird is modeled by the function E(x)=14x2+25+10(12x) (b) If the bird instinctively chooses a path that minimizes its energy expenditure, to whatpoint does it fly?
bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
When examining the formula of a function that is the result of multiple transformations, how can you tell a reflection with respect to the x-axis from a reflection with respect to the y-axis?