In a certain city the temperature (in degrees Fahrenheit) t hours after 9am was approximated by the function T(t) = 70 + 6 sin 12 Determine the temperature at 9 am. Determine the temperature at 3 pm. Find the average temperature during the period from 9 am to 9 pm.

Q: Suppose a Ferris wheel is 210 feet in diameter. If a Ferris wheel makes 1 revolution every 60…

A: By put h(t)= 105 in given height function we can easily find time t Detailed solution given below

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

A:

Q: Find a function of the form y = A sin(kx) + C or y = A cos(kx) + C whose graph matches this one:…

A:

Q: In a certain city the temperature (in °F) t hours after 9 AM was modeled by the function T(t) = 44 +…

A: To calculate the average temperature using integration

Q: A boat at anchor is bobbing up and down in the sea. The vertical distance, y, in feet, between the…

A:

Q: Suppose a Ferris wheel is 210 feet in diameter. If a Ferris wheel makes 1 revolution every 60…

A: Given: For (a),    105sin0.105t-π2=105⇒sin0.105t-π2=1⇒0.105t-π2=π2+2πn⇒t=200π21

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

A:

Q: The population sizes of many animal species rise and fall over time. Suppose that the population…

A:

Q: A person sitting on a Ferris wheel rises and falls as the wheel turns. Suppose that the person's…

A: Given: h(t)=20.5 - 16.6 sin 1.9t   .......................(eq.1)

Q: The average temperature  in Dumboldt Valley is given by the following function T(x)=37 +10…

A:

Q: 14. In a certain city, the temperature (in °F) at t hours after 9 AM is modeled by the function = 50…

A: The temperature function is given as  T(t)=50+14sinπt12 Where t is time in hours  The analysis is…

Q: In a certain city the temperature (in degrees Fahrenheit) t hours after 9am was approximated by the…

A:

Q: Given the following function, find it's phase shift. f (x) = -2 sin (-x - }) O -47

A:

Q: In a certain city the temperature (in °F) t hours after 9 AM was modeled by the function T(t) = 52 +…

A: Given: function giving the temperature t hours after 9 AM: Time limits: 9 AM to 9 PM i.e after 9 AM…

Q: The number of tons of paper waiting to be recycled at a 24 h recycling plant can be modelled by the…

A:

Q: ) The depth in feet of water at a dock changes with the rise and fall of the tides. The depth is…

A:

Q: Find a function of the form y = A sin(kæ) + C or y = A cos(kæ) + C whose graph matches this one: -3…

A: Graph of the function is given is of the form y=Asin(kx)+C or y=Acos(kx)+C

Q: The average observed population of woodland caribou in Wood Buffalo Provincial Park is modeled by…

A: p(t)=800 cos(π3t)+3000period of cosine functionf(x)=Acos(Bx+C)+Dperiod=2π|B|

Q: During the time interval 2 <t < 6, the depth of snow on the ground, in centimeters, can be modeled…

A:

Q: After a person exercises for a few minutes, the velocity v (in liters per second) of air flow into…

A:

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: A mass attached to a spring is pulled downward and released. The displacement of the mass from its…

A: Given :- d= Acos(ωt) f=95Hz Shortest length =15 cm. Largest length = 35cm.

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

A:

Q: Find a function of the form y = A sin(kx) + C or y = A cos(kx)+ C whose graph matches this one: -6…

A: Put value of y and x in given form with the help of graph and find wheather it satisfy or not

Q: Find a function of the form y = A sin(kæ) + C or y = A cos(ka) + C whose graph matches this one: -7…

A:

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

A: Given function:

Q: The temperatue of a town t months after January can be estimated by the function f(t) = – 28 cos( +…

A: Given that: f(t)=-28cosπt6+41 The formula for average of any function f(x) in interval a,b is…

Q: In a certain city the temperature (in degrees Fahrenheit) t hours after 9am was approximated by the…

A:

Q: The temperatue of a townt months after January can be estimated by the function f(t) -26 cos 6. + 61…

A: Given, The temperature of the function t months after january is given by ft = -26cosπ6t+61  We have…

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

A: Explained below

Q: at T(t) = 56 + 11 sin 12 Find the average temperature Tave during the period from 9 AM to 9 PM.…

A: We will find the avg temperature.

Q: For the function f(x)=−sin(x−3π/2), determine its amplitude and period, and then graph it for two…

A: We can make it easier for you. Here Amplitude A = 1 Period P = 2π

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

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Q: An alternating current is described by the function i(t) = – 13 sin(450t + 40°) milliamperes, where…

A:

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

A: The main objective is to find the minimum height and period of h(t).

Q: .s) Consider the function f(t) = 14 sin(3(t – 1)) – 9. State the function's exact amplitude,…

A:

Q: The temperatue of a town t months after January can be estimated by the function f(t) = 27 cos t) +…

A:

Q: 4. In a certain city the temperature (in degrees Fahrenheit) t hours after 9 am was modeled by the…

A:

Q: An aqueduct has water flowing through it, supplying a nearby village. Recent surveys of the duct…

A: Solve

Q: In a certain city the temperature (in F) t hours after 9 AM was modeled by the function T(E) = 44 +…

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: Traffic flow is defined as the rate at which cars pass through an intersection, measured in cars per…

A: Given:-Traffic flow function,F(t)=82+4sint2where,F(t) is measured in car per minutet is measured in…

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: Can you please solve the attached problem, showing step by step solution:

A: I attached the picture of solution

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

A:

Q: Find a function of the form y A sin(kx) + C or y = A cos(kx) +C whose graph matches this one: -2- 4.…

A: Graph of the function is given we have to find its equation is of the form y=Asin(kx)+C or…