Find the period and amplitude of the following functions : amplitude, lal Period 1. y= 3sin 2x 3 2x b = 2, period = 2.у %3D2 сos 3x 3. y = (5/2)cos(x/2)l 4. y= - 3 sin (x/3) 5. y = -2sinx

Q: Give an equation for a transformed sine function with an amplitude of 3, a period of J π 4' and a…

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Q: Give an equation for a transformed sine function with an amplitude of 3, a period of , and a phase…

A: The standard form of a sine function equation is as follows -  y = Asin(B(t+C)) + Dwhere,A =…

Q: T For y = 5 cos ( 4x 3 - its amplitude is its period is its horizontal shift is

A: Given  y= 5cos(4x-π/3)  We have to find its  1) Amplitude 2) Period  3) horizontal shift

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: 8) Given y = 1 +3 sin 2x, Find the Amplitude Interval and Period y = A sin (B (x+C)) + D 2x Period =…

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Q: Which are the amplitude and period of the function w(x) = sin x? 1 a. amplitude = period = 1…

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Q: Give an equation for a transformed sine function with an amplitude of 3, a period of , and a phase…

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Q: B. Complete the table below Given Amplitude | Period Phase Shift Vertical Shift y = 2 cos(2r – 7)+2

A: Given: y=2cos(2x-π)+2

Q: 10. Determine the amplitude, the period, the phase shift, and the vertical shift of the y = -4 sin…

A: The given data is: y=-4sin2x+30∘+1 And  y=sinx

Q: 1. For the following Function: y = 3 sin[4(x + 60°)] - 2 Determine the following: Amplitude: Period:…

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Q: For the function f(x) = 3 cos(2x + 7), a. The period is: b. The amplitude is: c. The phase shift is:

A:

Q: Given

A: Here, we compare given f(x) to a sin(bx+c)+d

Q: The amplitude of y = sin x is ____________________ units.

A: Topic = Functions The amplitude of y = sin x is 1 unit.

Q: Which of the following is equal to J: x2 dx ? A. sin-1 (t) + € B. sin- (t) + € Option 1 O Option 2…

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Q: 5. Determine the phase shift for the following trigonometric function. -2 cos(0-풍)+ 3 T units to the…

A: For a given function: y = Acos( B ( x + C) )            Phase shift is C units to the left      y…

Q: Find a particular solution Yp = A cos wt and enter the amplitude factor A rounded to 4 decimal…

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Q: The average voltage, vavg, of a sinusoidal voice waveform fed into the speaker is found to be : T…

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Q: 8. y = sin(cos7x) %3D

A: It is given that, y=sin(cos7x)   It is known that the derivative of sinx is cosx and derivative of…

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: Give an equation for a transformed sine function with an amplitude of 3, a period of , and a phase…

A: A standard sin function equation is given as follows -  y = Asin(B(t+C)) + Dwhere , A =…

Q: Find the amplitude, period, and phase shift of the function. =I 1 sin (3x-x)+3 Give the exact…

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Q: Eliminate parameters A and B but not parameter C by differentiating x with respect to t. x=A sin…

A: The given equation is: x=Asin(Ct+B)

Q: 3 For y = cos (6x + 37), find the amplitude, period, and phase shift. Then graph the function,…

A: Given: y=32cos(6x+3π)

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

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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: The function y = A sin(wx), A > 0, has amplitude 3 and period 2; then A =________ and w =________

A: We know that a sine function is represented by y=Asinwt has following characteristic given as…

Q: 1 For each defined function, give the amplitude, period, vertical translation, and phase shift, as…

A: Topic = Trigonometric equations

Q: If the function y period 2, then A = A sin (wx), A > 0, has amplitude 3 and and w =

A: To fill in the blanks

Q: snip

A: Fill in the blanks in the given statment.

Q: 12. Based on the equation below, find the following pieces of information y = 6'cos3(0 – + 2…

A: Amplitude=|A|

Q: Find a particular solution Yp A cos wt and enter the amplitude factor A rounded to 4 decimal places.

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Q: c) Sketch the Fourier transforrm of two identical sinc functions centered at ± X1.

A: The given function is, ±xt The Fourier transform of  sinc function  is rect function.

Q: Find of the following functions. [ dr (a) y = sec(7?) (b)y = sin7x + cos5a

A: here we can find the derivative as below.

Q: 2. For the following sinusoidal function, complete the table. y =-2 sin 3 (x + 56) – 2 Amplitude…

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Q: see attachment

A: Factor out 2.

Q: .Find the equation of the sine wave that is obtained by shifting the graph of y = sin(x) to the…

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Q: Give me the period,amplitude,min value,maximum value,zeros,phase shift at y=cos x 1.-3cos6x 2.-2cos…

A: we have to determine the period, amplitude, min value, maximum value , zeroes, phase shift at y=cosx…

Q: Determine a possible equation for the following sinusoidal function. 0.5 0 -0.5 -1.5 0 TT/2 3TT/2

A: We need to find sin equation.

Q: Find the equation of the following sine wave in its final position. The graph of y= cos (x) is…

A: Given :   Shifted pi/5 units to the left

Q: A sinusoidal function has an amplitude of 4.6 units, a period of 720°, and a maximum at (0, -2).…

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Q: Identify the amplitude, period, horizontal shift, and phase. (Find these values using the methods…

A: y=sin2x+π⇒y=sin2x+π2⇒y=sin2x--π2+0 Now comparing with y=asinbx-c+d, we get a=1,  b=2,  c=-π2  &…

Q: 10. Which of the following functions has the longest period? y = 6 sin(3x) + 20 y = 7 cos(x) + 13 а.…

A: The function f(x) is period  function of period T if f(x+T)=f(x) The period of the constant function…

Q: alculate the amplitude and period of the function: f(x) = 3 sin(a) - 1 O Amplitude: 1, period: 2.…

A: Given query is to find the amplitude and the period of the function.

Q: Write the equation for the following information. Sine function with amplitude of 4, period TT,…

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Q: 1) y = 25sin(2x + 30°) What is the amplitude, the period in terms of radians and degrees, and the…

A: Solution: The objective is to find amplitude, period and phase shift

Q: 12. Determine the equation of a sine function that would have a range of (y e R|6 <y39} and a period…

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Q: Use an appropriate linear approximation to estimate cos(60.5°). (Round your answer to three decimal…

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Q: Determine the phase shift of the following sinusoidal function: y = sin(4x − ?) + 4

A: Given : Sinusoidal function,              y = sin(4x - ?) + 4 Amplitude = a = 1 Period = 2π/|b| =…

Q: Find the equation of the tangent line to the curve 1 2 sin x + 5 cos x at the point (0, 1/5). The…

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