Consider the following scenario: The population of fish in a pond can be modeled with the sinusoidal function  (e.g., p=3000cos(π10t)+37000p=3000cos⁡(π10t)+37000), where tt is the number of years after 2005. Create your own function based on the scenario above and address the following: Draw a graph or figure to represent this situation. Describe how the concepts from this module can be applied in this case. To the nearest whole number, what was the population in the year 2012? Provide another example of a scenario that involves the same concept.

Q: he graph of y=cosx is vertically stretched up by a factor of 3 and shifted down by 5 units. One…

A: In this question we have to translate the basic function y=cos(x)

Q: A Ferris wheel with diameter 20 feet rotates counterclockwise and makes 2 revolutions per minute. At…

A: Given, Diameter of the Ferris wheel = 20 feet Wheel rotates counterclockwise and makes 2 revolutions…

Q: Explain a real-world application of sinusoidal functions and how having knowledge of trigonometry…

A: Sinusoidal function is a function which oscillates between a mean and a extreme value.

Q: Determine the equation of a sine function with a minimum at ,-10 | and a maximum 57 at 6

A: Given problem:- Determine the equation of a sine function with a minimum at (π/3, -10)and a maximum…

Q: The top of a bucket 0.5 meter high is attached to a water wheel of diameter 5.5 meters. The wheel…

A:

Q: Suppose a sine function passes through the point (,-4) which is on its (F,2). sinusoidal axis…

A: A sinusoidal axis is the central line of the sinusoidal function. The vertical distance between the…

Q: According to the Old Farmer’s Almanac, in Anchorage, Alaska, the number of hours of sunlight on the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 8) Graph the function: y = -2 sin(40)

A:

Q: The graph of the function f (2) = 2 arcsin(x – 4) +1, is best pictured by:

A: We will put the x values and get the f(x) values.

Q: A man programs his sprinkler system to have a period of minutes. He notices that the highest point…

A: Given problem can be modeled as: the general equation is given by h(t)=a .Sin(kt)   where a=…

Q: 3) How are the inverse hyperbolic functions defined? Comment on their domains, ranges, and graphs.…

A:

Q: Find the period of the sinusoidal function. fx 64 5- 4 2. 540° A360 A180° 180° 360° 540° -3 -4 -5

A: Given:

Q: Suppose you are standing at a distance, d, of 125 feet from a statue of height h feet. h d Express…

A: Given: d=125 feet Height of statue ='h'feet To determine: Express θ as a function of the height of…

Q: 2. A contestant on a game show spins a wheel that is located on a plane perpendicular to the floor.…

A: Solution:- Let the total distance moved be x and the angle moved be θ then the angle moved will…

Q: Consider the graph of the function y = sin x + cos x. Describe its overall shape. Is it periodic?…

A:

Q: Suppose the function cos(t) is shifted 5 units upward. What is the equation of the new function?

A: To determine The equation of the new function if the function cos(t) is shifted 5 units upward.…

Q: How are the inverse hyperbolic functions defined? Comment on their domains, ranges, and graphs. How…

A:

Q: An object moves in simple harmonic motion with period 6 seconds and amplitude 7 cm. At time t =0…

A: Topic:- Simple harmonic motion

Q: 3. Determine a sinusoidal function that could represent the graph drawn below. a.

A: topic - trigonometric functions

Q: Sketch the graph of the function. y = −sin 2x/3

A: If y=Asin(Bx-C)+D Amplitude = A Period = 2πB Phase shift =-CB Vertical shift = D

Q: The pedals on a bicycle have a maximum height of 30 cm above the ground and a minimum height of 8 cm…

A: Given that  The pedals on a bicycle have a maximum height of 30 cm above the ground and a minimum…

Q: Choose the equation that does not represent the function of the graph shown below. 2. -14 14 -2 -3…

A:

Q: へ6, - -1 も Problem 4. The area of the house shape is 30 square feet. Find a formula for the height…

A:

Q: At a certain ocean bay, the maximum height of the water is 4 m above mean sea level at 8:00 a,m. The…

A: Solution

Q: Consider the following scenario: The population of fish in a pond can be modeled with the sinusoidal…

A: Create a own function based on scenario.Part (1):

Q: A bus hits a bump in the road, raising the back row seats by 16 inches above their regular position…

A: Given: When a bus strikes a pothole, the back row seats are raised 16 inches over their normal…

Q: Find the exact value of the function: arctan 1

A: See the details solution in below

Q: The graph of a sinusoidal function is shown below.

A: Let fx be the representation of given sinusoidal graph. Suppose that fx is a sinusoidal function…

Q: Use the following information to answer question 15. The sinusoidal function that represents…

A: Given: There are two graphs representing different electric flow…

Q: 2. A contestant on a game show spins a wheel that is located on a plane perpendicular to the floor.…

A: 1. The contestant pushed wheel downwards, implies height decreases first then increases. 2. Distance…

Q: What does the midline, period, amplitude, and horizontal shift of a graph represent in the real…

A: Amplitude is the vertical distance between the midline and one of the maximum or minimum points. We…

Q: Determine a formula for a sinusoidal function which models the height of a point on the…

A: The general form of the sinusoidal cosine function is y=AcosBt+C+D. Where A is the amplitude, B is…

Q: sketch the graph of the function Qu, y= 3 sin tx -1

A: Given function is  y= 3sin(x/2)-1

Q: 3. Plot one cycle of the function below on the grid provided. (5 marks-A) f(x) = 3 sin ( 2x + - 1 2…

A:

Q: Which graph of the function Y = 2 sin 3(0 – 30°) +1, where -180° < 0< 180°, is best illustrated…

A:

Q: The graph of a sinusoidal function has a maximum point at (0, 7) and then intersects its midline at…

A: Solution: Let the sinusoidal function be fx=A·coscx     ......(1) (NOTE: in our case sinusoidal…

Q: f(x) X -10 -8 -6 -4 2 4 6. 10 -2 -3 -4 5 -7 2. 2. 1. 1.

A: The given question is related to function and their graph .solved in step 2nd.

Q: Sketch the graph of the equation.

A: Graph of the given equation can be drawn by the substitution of some arbitrary values of x and the…

Q: Outside temperatures over the course of a day can be modeled as a sinusoidal function. Suppose the…

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Q: Given a sine or cosine graph, the vertical distance between a maximum point and aminimum point is…

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Q: Construct a sinusoidal function with the provided information and then answer the questions. In a…

A: Let Y be the number of days where the precipitation is monitorized. Let t be the time in months.…

Q: Explain why the domain of the sine function must be restricted in order to define its inverse…

A:

Q: Sketch the graph of the function y-1+sin2x without using a calculator.

A: We have to sketch the graph of the function y=1+sin2x.

Q: ssuming the caterpillar starts at the ottom, give two equations for its vertical esition (height) as…

A: Notes- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 15. If a projectile is fired with velocity vo at an angle 0, then its range, the horizontal distance…

A: Given :V0 = 2200 ft/s      Range = 5000 ft To find: Angle in degrees

Q: The population of fish in a pond can be modeled with the following sinusoidal function, where t is…

A:

Q: 1. A pebble is stuck in the treads of a bicycle wheel. If the wheel makes 4 rotations per second,…

A: There are two types of sinusoidal function which are of the form y=Acos(Bx+C)+D or y=Asin(Bx+C)+D.…

Q: The height of a nail in a bicycle tire as it rotates around is periodic in nature. The radius of the…

A:

Q: Match each graph of a Trig function with its equation. 21/3 y = sin x) TT/3 y tan(x) y = arctan(x) y…

A: From the given graph; (1). The domain of the graph is: -1,1 And The range of the graph is: 0,π