The depth of water in a harbour varies as a function of time. The maximum depth is 9 feet and the minimum depth is 1 foot. The depth can be modelled with a sinusoidal function that has a period of 12 hours. If the depth is 5 feet at 12 midnight, and is increasing,

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A: Given y=-4cospix/2 . We need to find amplitude and period of the wave. The general representation of…

Q: Outside temperatures over a 24-hour period can be modeled by a sinusoidal function. Suppose the high…

A: Given: The outside temperature over a 24hours is modeled using a sinusoidal function. The high…

Q: Sketch the graph of the function. (Include two full periods.) y = −3 sin(6x + π)

A: Given: y = −3 sin(6x + π) To find: Sketch the graph of the function.

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A: In the given problem we have to find an equation for a transformed sine function with an amplitude…

Q: Why are trigonometric functions ideally suited to model phenomena that repeat in cycles?

A: Trigonometric functions sin, cos, tan, cosec, sec, and cot are periodic functions. That is after…

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Q: f(x) = 2 sin (x)

A: Graph drawn below

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Q: What is the period of the function f(x) shown in the graph?

A: Period : The period of any function is defined as the distance between the repitition of function .

Q: What is the equation of the cotangent function whose graph has a period of 4TT and shifted 2TT units…

A: A general equation of cot function is cotat-b with period πa and shift b to right.  Now, as per the…

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: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

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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: 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: 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: This is a graph of someone on a swing, measuring height of swing vs time. What is the amplitude and…

A: From the graph  Amplitude  = 2 - 0.92=0.55 m

Q: What is the period of a function?

A: Period of the function: The function f is said to periodic function if there exist P in ℝ such that…

Q: Question 8 Describe a function with an oscillating discontinuity at 0.

A: Discontinuous functions are those functions which are not continuous at one point. There are several…

Q: Outside temperatures over a 24-hour period can be modeled by a sinusoidal function. Suppose the high…

A: Solved below

Q: Sketch the graph of the function. - sinE) y = y 1 -4я -3л -2л 2л 3 7 -27 -1 -5x-4 -3x-27 - 2л Зл 4л…

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Q: Determine the equation of the cosine function that has an amplitude of 4, a period of 2T, and has a…

A: The general equation of cosine function is y=AcosBx-C+D Here,  A=AmplitudeP=2πB=PeriodCB=Horizontal…

Q: A transformed sine function has a maximum value of 6 and a minimum value of -4. What is the…

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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: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

A: Max value= 65  Min value= 25  So amplitude=a= (65-25)/2=20  Period = 24 hours  So, b= 2π/period=…

Q: What is the amplitude and period of the function shown below?

A: To find: Amplitude and period of a given sinusoidal function.

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

A: Ans is given below

Q: Find the period of the sinusoidal function. Ex 64 2 -3T -2T 27 -1 -2 -3 -4 -5 Simplify any…

A: The period of the sinusoidal function is the time to complete one wave cycle. The period of the wave…

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

A: Given function is  y= 3sin(x/2)-1

Q: The function graphed is of the form y = cos x + c, y = sin x+ c, y= cos(x - d), or y = sin(x - d),…

A: Given:

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A: Given that: Minimum average daily height = 16 meters after 5 days gives y(5) = 16 Maximum average…

Q: What is the amplitude of the periodic function?

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Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

A:

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

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Q: Write the equation of a cosine function with an amplitude of 4, a period of 8, a phase shift right…

A: The answer is found in step-2

Q: its amplitude is its period is  its horizontal shift is

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Q: Write a function describing the simple harmonic motion of a mass-spring system if the motion has…

A: Equation of simple harmonic of mass spring system is y = Asin(omega)t

Q: Based on the graph above, determine the amplitude, midline, and period of the function

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Q: Write the equation of a sine function that has a maximum at (70°, 3) and a minimum at (160°, -5)

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Q: Find the vertical translation of a sine or cosine function.

A: The vertical translation of a sine or cosine function is nothing but the graph is translated up or…

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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: What is the amplitude of the function shown in the accompanying graph

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Q: When does the graph of a trigonometric function oscillate very rapidly?

A: We know that as x approaches to zero, the function sin(1/x) oscillates infinitely or very rapidly.

Q: Sketch two cycles of a sinusoidal function that has a period of 15 seconds, an amplitude of 4 and…

A: see below the answer

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

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Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

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