The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function D(t) = 3 sin -t+ 7T + 4

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: Determine the magnitude and direction of the vertical shift and the phase shift for the function…

A: To Determine the magnitude and direction of the vertical shift and the phase shift

Q: Differentiate the function.

A: We write the expression using an exponent first

Q: What is the corresponding period and phase shift of the function f(t) = cot (2t - Tt)? *

A: Given that  f(t)=cot(2t-π) To find the period and phase shift

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

A:

Q: Graph the function, and determine the amplitude, period, and phase shift:…

A:

Q: Use a vertical shift to graph the function. y = 3 sin 1/2x + 2

A:

Q: Give an example of a trig function with an amplitude of 2020 and a period of 37. Write answer as an…

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: 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: In a certain city with predictable weather, the temperature (in °F) t hours after 8 am can be…

A:

Q: Derive a formula for the equation below: tan x sec" x dx Where n + 0

A:

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: The height, h, in meters, of a seat above the ground as a Ferris Wheel turns can be modelled using…

A: In this question, concept of period of function is applied. Period  A period is the length of one…

Q: What is the phase shift of f (x) = -2 sin (-2x +)? O a) T radians to the right. O b) 4 radians to…

A: Given  f(x) = -2 sin( -2x + pi/2)

Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation. a.) y =…

A: Find the amplitude, the period, and the phase shift and sketch the graph of the equation. a.) y =…

Q: A Ferris wheel of diameter 18.5 m rotates at a rate of 0.2 rad/s. If passengers board the lowest car…

A:

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

A:

Q: The amplitude of F (x) = } sin is

A: The amplitude of the sine function is the distance from the midline to the maximum point.

Q: Find the equation of a sine wave in the form y = a sin(x + c) + d that is obtained by shifting the…

A:

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

A: Given that A persons blood pressure while resting is given by the function  R(t)=23sin(2pi*t)+120 To…

Q: Suppose that the number of hours of daylight on a given day in Seattle is modeled by the function…

A:

Q: What is the equation for the following sine function, f(x)? 20 (0,3) 0 (20,9) 20 (40, 3) 40 60

A:

Q: Find amplitude, period, phase shift, and mid-line. f(x)=Asin(Bx-C)+D

A: From the given Graph  Amplitude, period, phase shift and middle line is evaluated as shown below

Q: Find the amplitude  (a)  and period  (T)  of function.

A: Given, gt=-2sinπ4t+2

Q: Find a function that models the simple harmonic motion having amplitude 10 cm and period of 3…

A:

Q: a) What is the fundamental period the function f(t) = sin 3t ?

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

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

A:

Q: The phase shift of the graph of f(t) = sin (4t - TT) is? %3D

A: We have to find phase shift of the graph of function: ft=sin 4t-π Drawing the graph of given…

Q: A beacon on a lighthouse 1 mile from shore revolves at the rate of 10TT radians per minute. Assuming…

A: Consider the following: The circumference of the circle being swept by the light at the distance 2…

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: Let f(x) = 3 sin(nx) – 2. a. What is the midline of the graph of f(x)? b. What is the amplitude of f…

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

Q: The displacement of a mass suspended by a spring is modeled by the function h(t) = 14 sin(15rt)…

A:

Q: As theta increases from 0 0to 90 0, the value of cosec theta tends towards _________________________

A: We have to fill in the blanks: As θ increases from 0° to 90°, the value of cosec θ tends towards…

Q: Given an object in damped harmonic motion, the amplitude (increases/decreases) with time

A:

Q: The displacement of an object attached to a spring that moves in simple harmonic motion is given by…

A: Known fact: For the function is of the form d=AsinBX-C+D, Period is 2πB Phase shift is C.

Q: For a cosine function with amplitude A=0.75A=0.75 and period T=10T=10, what is y(4)y(4)?

A:

Q: The voltage coming from the electricity distribution company is fluctuating according to the…

A: This This question is related to trigonometric equations,  we will solve it using given information.…

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

A:

Q: Describe how sec t varies as t increases from 0 to p/2.

A: Based on the circular definitions, to represent the values of the trigonometric functions…

Q: Let x = 0.17 and y = 1.76. Determine the value of C when you evaluate |tan-1(2x)dx. (Use 2 decimal…

A: This question can be solved using the concept of ILATE.

Q: Find the amplitude, phase shift, and period of the function. y = −1/2cos(3x-π/4)+1 Give the…

A: Given function is Comparing given function with standard cosine function, we get

Q: At what point does the sine function y = sin x, cross the y axis? O (T, O) O (0,0) O (1,0) O (0,1)

A: Given  function is y=sinx. We have to find the point at which the function y=sinx cross the y-axis.…

Q: the height of the tide in meters at a particular habour can be modelled by sinusoidal function…

A: Sine curve

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 temperatue of a town t months after January can be estimated by the function f(t) = – 25 COS (t)…

A:

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

A:

Q: Breathing is cyclic, and a full respiratory cycle from the beginning of inhalation to the end of…

A:

Q: Determine the equation of a sinusoidal function in the form y = a sin(bx - 3) + d. (2.285, 7) 6-…

A: Formula: For the sinusoidal function y=asin(bx+c)+d, Period=2πb d = Vertical Shift = ymax+ymin2.…