A Ferris wheel is 21 meters in diameter and boarded from a platform that is 1 meter above the ground. The six o’clock position on the Ferris wheel is level with the loading platform. The wheel completes 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). b. Assume that a person has just boarded the 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). c. If the Ferris wheel continues to turn, how high off the ground is a person after 20 minutes?

Q: In a certain city the temperature (in °F) t hours after 9 AM was modeled by the function T(t) = 45 +…

A: Solution of given question is written in below steps.

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: In a certain city the temperature (in °F) e hours after 9 AM was modeled by the function TG) = 49 +…

A: The temperature is modelled by the function Tt=49+12sinπt12. The average value of a function fx from…

Q: The number of daylight hours in a northem city varies from approximately 4.4 hours on December 21 to…

A: (a) Consider the given sinusoidal function y=7.8506sin0.0165x-1.3066+12.1811. Let x represent the…

Q: In a certain city the temperature (in °F) t hours after 9 AM was modeled by the function nt T(t) =…

A:

Q: Suppose that Milan's blood pressure can be modeled by the following function. p(t) = 86+21 sin…

A:

Q: Evaluate the function. If the value is not a rational number, round your answer to three decimal…

A:

Q: For the function f(x) -2 sin ( 3x a. The period is: b. The amplitude is: c. The phase shift is:

A:

Q: The height, h, in centime ters, of a pis ton moviny up and down in an engine cylinder can be…

A: Please see the answer below.

Q: A Ferris wheel has a radius of 70 m, and the bottom of the wheel passes 6 m above the ground. If the…

A: t (minutes) h(t) 0 6 2.5 76 5 146 7.5 76 10 0

Q: Find the period of the function sin πnx/k

A: We are given a function: sin(nπxk) The period of the given function can be found as follows:

Q: For y=−5cos(x)+4, its amplitude is ________?   its midline is y ________?

A: For y=−5cos(x)+4, Rewrite the given equation is sine function is, y=-5sinπ2-x+4y=5sinx-π2+4 ......1…

Q: The height in feet of a seat on a Ferris wheel is given by the function h(t) = 50 sin (2πt/10) + 60.…

A: The height of the Ferris wheel is given by the below function. ht=50sin2πt10+60

Q: The current, I, in amperes, flowing through an ac (alternating current) circuit at time t, in…

A:

Q: The number of hours of daylight in Boston is given by y = 3 sin (2π/365) (x - 79) + 12, where x is…

A: Since you have posted multiple subparts, as per our policy we will answer first question. Please re…

Q: A Ferris wheel has a radius of 20 m, and the bottom of the wheel passes 4 m above the ground. If the…

A: 1st we will decide function and then will find all parameters depending on given data .

Q: The Figure shows that the depth of water at a boat dock varies with the tides. The depth is 5 feet…

A: Period is the difference of the time period of low tide and high tide, as the low tide is at 4 AM…

Q: Suppose that Ali's blood pressure can be modeled by the following function: p(t) = 84 - 17 sin (127…

A:

Q: A person's blood pressure (in millimeters of mercury) while resting is given by the function R(t) =…

A: person's blood pressure (in millimeters of mercury) while resting is given by the function R(t) = 25…

Q: The depth of the ocean at a buoy can be modeled by the function d(t) = 5 +3 sin where d is the depth…

A:

Q: Find the amplitude, period, and horizontal shift of the function y = sin(H(x + #)) amplitude period

A: Given: y=4sin23x-π6

Q: In a certain city the temperature (in °F) t hours after 9 AM was modeled by the function T(t) = 49 +…

A: we have the temperature function  T(t)=49+12sin(πt12)where t is in hours.

Q: Find the amplitude, phase shift, and period for the function: y=−3sin 3(x−pi/4)

A: We will compare the given equation with  So,

Q: 2. The voltage V in electrical circuit is represented by the function V(t)=10cos120t. where t is…

A:

Q: For a person exercising, the velocity v (in liters per second) of airflow during a respiratory cycle…

A:

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: Based on the graph above, determine the amplitude, midline, and period of the function. Work only…

A: Ans is given below

Q: Sketch the graph of f(x) = 2 sin(x -:). also find the amplitude and period

A: The given function is fx=2sinx-π2. Sketch the graph of fx=2sinx-π2 as follows:

Q: The horizontal displacement of a swinging pendulum is given by f(t) = 1.5 cos(t)e-0.05t, where f(t)…

A: Given function is : ft=1.5 cost e-0.05t , f(t) is the horizontal displacement

Q: The sound wave for A above middle C may be described by the function f(t) =0.001sin 8807a. Determine…

A: Topic = Functions

Q: The parent function for a sine wave, y = sinx, has an amplitude of and a period (or wavelength) of

A: Given parent function for a sine wave is

Q: Write a sine function that has shifted down 3, a frequency of 3232, reflected across the x-axis and…

A: Topic = Functions

Q: Suppose that Melissa's blood pressure can be modeled by the following function. p(t) = 83- 22 cos…

A:

Q: 4. The vertical position, h, in metres, of a Ferris wheel is modeled using the function h(t) = 10…

A:

Q: The number of hours of daylight in Boston is given by:where x is the number of days after January…

A: Given, y=3sin2π365x-79+12

Q: The normal monthly high temperatures H (in degrees Fahrenheit) in Erie, Pennsylvania, are…

A: (a) Period of the function H(t)=12 months. Period of the function L(t)=12 months. Since, same value…

Q: As a wave passes by an offshore piling, the height of the water is modeled by the function h(t) = 8…

A: The height function is modeled by h(t)=8cosπ10t. Where t is time. We have to answer the following...

Q: From the graph, please find the amplitude, period, phase shift, and mid-line, and State the exact…

A: The standard form of the sinusoidal curve is given by y=Asin[B(x-C)]+D where, A = amplitude  2πB=…

Q: find the period and amplitude of the function

A: We need to find period and amplitude of the function y=f(x) shown below

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

A:

Q: The depth of the water in a bay varies throughout the day with the tides. Suppose that we can model…

A: We need to find the time and depth of water.

Q: Find the equation of a sine wave in the form of y = sin(x) to the right 5 units and downward 5 units…

A: Graph transformation :  * f(x) + b shifts the function b units upward .   *f(x) - b shifts the…

Q: The height, h, in centimetres, of a piston moving up and down in an engine cylinder can be modelled…

A: Period  of a function

Q: The following graph represents the height, in metres, of a rider on a Ferries wheel as a function of…

A:

Q: Outside temperature over a day can be modelled using a sine or cosine function. Suppose you know the…

A: Let Ft be the temperature t hours after 5 am. Here, period=2π Amplitude =22 Thus, Ft=22cos2π24t+48…

Q: 4. Use a sine function to describe the height of the tides of the ocean if high tide raises the…

A: The high tide of the ocean raises the water level to 5 m at noon and low tide drops it down to 1 m…

Q: In Frosto City, the temperature (in degrees Fahrenheit) t hours after 9am was modeled by the…

A:

Q: 3. A Ferris wheel is 20 meters in diameter and boarded from a platform that is 1 meter above the…

A: Here, the function increases  and go to the highest point, therefore the function should be the…

Q: -TT -T 3TT レ こ4 キ」

A: For the given graph  Amplitude, phase shift, period and midline is calculated as shown below