For an object in harmonic motion modeled by y= A sin(kt-b) the amplitude is _____,the period is _____,and the phase is _____.To find the horizontal shift,we factor out k to get y= _____.From this form of the equation we see that the horizontal shift is _____.

Q: etermine the period, amplitude, and phase shift of the given trigonometric function and sketch its…

A: Here we have to determine the period, amplitude, and phase shift of the given trigonometric function…

Q: The graph of one complete period of a sine curve is given. y -5 (a) Find the amplitude, period, and…

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Q: Find a Cartesian equation for the curve and identify it. 12 cos(20) = 1

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Q: 2. The displacement of a body performing simple harmonic motion is described by the following…

A: Given that

Q: An object moves in simple harmonic motion described by the given equation, where t is measured in…

A:

Q: How does the formula for the general sine function ƒ(x) = A sin ((2p>B)(x - C)) + D relate to the…

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Q: a. Write an equation of the form y = A cos (Bx – C) + D with A > 0 to model the graph. b. Write an…

A: Note that the value of the function at x=π4 is 5 and the value of the function at x=9π4 is 5. The…

Q: Sketch one period of the function  b)- Write the equation of the aymptotes.

A: Consider the given function, y=2·tanπ2x-2-1 (a) Consider that the period of a standard tangent…

Q: With simple harmonic motion, the reciprocal of the period is called the frequency. The frequency,…

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Q: Questions 56 - 60: Find an equation for the tangent line to the graph at the specified value of z.…

A: Given equation of curve is : y=xcos3x     ....1 To find the equation tangent line for given value of…

Q: The graph of one complete period of a sine curve is given. 3 (a) Find the amplitude, period, and…

A: (a) Amplitude: The Amplitude is the height from the center to the peak (or to the trough).…

Q: i don't know how to get the period for this question.

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Q: The height h (in feet) above ground of a seat on a Ferris wheel at time t (in seconds) is modeled by…

A: Given that the height is modeled by the equation ht=59+47sinπ12t-π2. a)It is required to find the…

Q: 2ויח- T/2 3n/2 -1 -2 -3 25 -6

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Q: 5. Find the period of the trigonometric function g(x) = 2 sin(). %3D A. 2TT B. 2 C. T D. 4T

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Q: An object oscillates as it moves along the x-axis. Its displacement varies with time according to…

A: The displacement equation is:x=3cos6πt+π2To find its frequency

Q: The equation of a cosine function with a vertical reflection in the x-axis, an amplitude of 2, a…

A: Equation of cosine function y=cos(x) Equation of cosine function with a vertical reflection in…

Q: The graph of an equation is shown in the figure. (a) Find the amplitude and period. (b) Express the…

A: (a) Explanation: The amplitude can be stated as the distance between the center line of the function…

Q: an object moves in simple harmonic motion described by d= -6cos(pi*t), where t is measured in…

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Q: A Ferris wheel has a radius of 40 feet and is boarded in the 6 o'clock position from a platform that…

A: 2. Given that,A Ferris wheel has a radius of 40 feet and is boarded in the 6 o'clockposition from a…

Q: The graph of one complete period of a sine curve is given. y 2 Ал -9F (a) Find the amplitude,…

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Q: For the graph of the equation, identify the amplitude, period, phase shift, and vertical shift. Do…

A: Given,            y=-4sinπx-1+5To find : The amplitude, period, phase shift and vertical shift

Q: A cosine function is graphed below, and given in standard form y = A cos(B (x –- C)) +D: Enter the…

A: The graph of the function is

Q: Find the amplitude, period, and phase shift of the function. Sketch the graph of one period of the…

A: We have to use properties of cosine equation to solve the problem

Q: How does the formula for the general sine function ƒ(x) = A sin ((2pai/B)(x - C)) + D relate to the…

A: Consider the given sine function.

Q: The function graphed is of the form y =a sin bx or Y= a cos bx where b>0. Determine the equation of…

A: We have to determine the equation of the given graph.

Q: The height h (in feet) above ground of a seat on a Ferris wheel at time t (in seconds) is modeled by…

A: From the standard form of wave equation we get the value of omega.

Q: 1 d ==sin t+ 4 1 С. - 3 i. Find the amplitude. ii. Find the period. iii. Find the frequency. iv.…

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Q: For the equation, identify the amplitude, period, and phase shift. Then label the axes accordingly…

A: Given,  y=sin(3x+6π)∴ Amplitude = 1ω=3=>2πf=3=>f=32πT=1f=2π3∴ Period = 2π3

Q: I don't know how to solve for the period in the final equation.

A: Recall the following Facts.

Q: a. Write an equation of the form y = A cos (Bx – C) + D with A > 0 to model the graph. b. Write an…

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Q: An object in simple harmonic motion has a frequency of - oscillations per second and an amplitude of…

A: Given frequency= 3/2  Amplitude= 5feet

Q: The graph of one complete period of a sine or cosine curve is given. Write an equation that…

A: If y=asinkx-b or y=acoskx-b then Amplitude = a Period = 2πk  Phase shift = -b

Q: 3. (a) For an object in harmonic motion modeled by y = A sin(kt – b) the amplitude is . the period…

A: To fill in the blanks

Q: The function graphed is of the form y = a sin bx or y = a cos bx, where b>0. Determine the equation…

A: Given.

Q: -3 cos(-3 sin 0) in such a way that the angle between the particle and the polar axis decreases at a…

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Q: The graph of an equation is shown in the figure. (a) Find the amplitude and period. (b) Express the…

A: Consider the graph of function Find the amplitude and period of function. Amplitude of the function…

Q: An object moves in simple harmonic motion described by the equation d=3 cos at, where t is measured…

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Q: Stuck. Need help

A: (a) We have,  Amplitude: The Amplitude is the height from the centre to the peak (or to the…

Q: The height h (in feet) above ground of a seat on a Ferris wheel at time t (in seconds) is modeled by…

A: Given data: *The height h (in feet) above ground of a seat on a Ferris wheel at time t (in seconds)…

Q: Find the exact circular function value. -27 cos 3

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Q: An object in simple harmonic motion has a frequency of 1/4 oscillation per minute and an amplitude…

A: Given The equation of motion of the particle performing simple harmonic motion is of the form…

Q: 8. For the graph of the equation shown in the figure below, find: a. Amplitude: Period: b. Express…

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Q: Find an equation for the graph. -3 Type the equation of the given graph in the form y = A sin Bx or…

A: Write the equation for each graph and satisfy the Amplitude and period of the graph.

Q: 1. An object undergoing simple harmonic motion in which its position varies according to x(t) =…

A: a .Given that equation of SHM position varies according to xt=2.50mcosπ6t+π4solution :…

Q: π A ƒ(t) = 5 cos(100m + B. Sketch g(t)=e* sin (27). Find its amplitude, frequency, and period.

A: A. Consider the given function, ft=5cos100πt+πt Compare the given equation with standard equation,…

Q: The graph of one complete period of a sine curve is given. У х -3 (a) Find the amplitude, period,…

A: To determine the amplitude, period and horizontal shift.

Q: convert the cosine sinusoidal function into a sine function: 7 cos pi/6 (t-3) + 6

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Q: Question 14(M A sine function has an amplitude of 3, a period of T. and a phase shift of 03 Oo 0 -3…

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Q: Find an equation for the graph. Type the equation of the given graph in the form y = A sin Bx or y =…

A: You have submitted two distinct questions. So we answer the first one. Please resubmit the second…