For questions 1 and 2 use the following equation: y=sin 8x 1. What is the period of this function? T4 4 2. What is the amplitude of this function?

Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 12+sin(18rt),…

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Q: For the function y = -2 sin (0 +=) + 1, answer the questions that follow.

A: 7. Given,            y=-2sin12θ+π6+1

Q: Analyze the following equation and graph it. r(9 + 3 sin 0) = 18

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Q: For each of the following equations, eliminate the constants A and B to form an ODE. y = A cos 4x +…

A: Eliminate the constant A and B to form the given differential equation. y=A cos4x+Bsin4x+27sin3x

Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 14 + sin(14nt)…

A: Note ; velocity is the first  derivative of displacement

Q: a coty sin x + tan y. (1+tany) dx + dy : %D secx cosx-sin x

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Q: For the function f(x) -2 sin ( 3x a. The period is: b. The amplitude is: c. The phase shift is:

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Q: For the following equation, solve for (a.) all radian solutions and (b.) t if 0 < t < 27. Do not use…

A: Given, the equation                                   10sint-3=8sint then we have to answer the…

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: For an object in harmonic motion modeled by y= A sin(kt-b) the amplitude is _____,the period is…

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Q: Find the amplitude of the function defined by the following equation, y = 2 – 2 sin (r +-) Choose…

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Q: If the parent function, y = sin x, had a frequency and amplitude of 3 and is shifted up 2 units,…

A: Sine graph

Q: Directions: For problems 1 through 3, read each question carefully and be sure to show all work. 1.…

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Q: State the following on the graph following sine functions period, amplitude, phase, shift,…

A: The general formula for a sine wave is . Here, A is the amplitude, C is the phase shift, D is the…

Q: For the function f (x) = – sin (x – #), determine its amplitude and period, and then graph it for…

A: fx=-sinx-3π4 Comparing with fx=asinbx-c, we get a=-1, b=1 &amp; c=3π4 Therefore,…

Q: Find the amplitude, period, and phase shift of y = 2 sin(r-)

A: The given function is  y=2sin12x-π4               ⋯1 Consider the standard sin function with…

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

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Q: For the following equation, use your calculator to find all solutions in radians on the interval…

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

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Q: tan 0 14 M 꼬 0

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Q: (b) For an object in harmonic motion modeled by y = 9 sin(3t − ?)the amplitude is _________  the…

A: giveny=9sin(3t-?)if standard form of trigonometric function isy=Asin(B(x-C))+Dthen Amplitude is…

Q: the following equation for 0 where 0 <0 <T. sin (20 +) = cos(29 – 7) sin 20 + %3D = your answer in…

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Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: Our Aim is to prove the identity given below:-sec (x)-sin (x) tan(x)=cos (x)-(i)

Q: For y = 10 sin(10z), %3D the amplitude is the period is Give exact radians using .

A: Given,             y = 10 sin( 10x )

Q: Determine the period of the given function. y = -3 sin 8x + 2 ... O A. 8 O B. I O C. 3 O D. - 4

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Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 15+sin(8t),…

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Q: When instructed to write the equation of a sine function with a vertical stretch of 2 and a…

A: We have to transform sine function and write it's new equation.

Q: For equations in the form y = a sin(bx + c) +d or y = a cos(bx + c) + d, %3D %3D Its amplitude is…

A: The equation in the form y = asin(bx+c)+d. The amplitude (A) will be: A=Max-Min2 where Max=a+d and…

Q: For the following equation, solve for (a.) all radian solutions and (b.) t if 0 <t< 27. Do not use a…

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Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 15 + =sin(8nt),…

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Q: Given that f(x) = −3 cos(πx − 2) + 1, find the following quantities: (a) The Amplitude. (b) The…

A: Consider the given function fx=-3cosπx-2+1. Note that, the general form of the cos function is…

Q: For the following equation, solve for (a.) all radian solutions and (b.) t if 0 < t < 27. Do not use…

A: The objectives to solve for (a) and (b) .

Q: Find the equation of the function below. 411 sin(z)+

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Q: For the following equation, solve for (a.) all solutions (in radians) and (b.) æ if 0 < æ < 2w. Do…

A: We have an equation                                      sinx+2sinxcosx=0 then we have to answer the…

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: For numbers 34-36: Find the equation of the sine or cosine function whose graph is given. Hint: the…

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Q: For the following function, identify the amplitude, period, and horizontal shift. (If an answer does…

A: Given y = 5 sin (2x −pi/6) to find  the amplitude, period, and horizontal shift

Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 3 + sin(3nt)…

A: NOTE: Refresh your page if you can't see any equations. . to find the velocity equation take…

Q: Ex. 1: Sketch one cycle of the sine function y = 6 sin x and answer the following questions: a. The…

A: Given

Q: f(2) = sin(x -) %3D 3.

A: Consider the function fx=-13sinπ-2x5 Here, the objective is to find the period of the function.…

Q: What is wrong with the following equation? sec 0 tan 0 d0= sec 0 7/3 ]r/ = -3

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Q: For items 6-7, refer to this given: y =-cos (-x+1). 6. Which of the following is the amplitude of…

A: As we know that; The general equation of the cosine function is: y=acosb(x+c) Where; |a| = amplitude…

Q: For problems 10 – 13 convert the given equation into an equation in terms of Cartesian coordinates.…

A: (10) Given polar equation is r-8sinθr=2cosθ We have to convert polar form equation into Cartesian…

Q: The next two questions refer to the following graph of y=4+ sin 2x. 180 Question 41 What is the…

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Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 14 + sin(14xt)…

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Q: For the following equation, solve for (a.) all solutions (in radians) and (b.) x if 0 < x < 2r. Do…

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Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 11+ sin(20nt),…

A: Given that, The equation of displacement is, s(t) = 11 + 14sin(20πt) Where s is in centimeter and t…

Q: Find the amplitude and the period of f(x). 10) = 3 sin x). XER The amplitude is.

A: detailed solution is given below

Q: The functions that are negative for e = 315° cot sec CSC sin Cos tan

A: Given,  θ=315°

Q: For the function f(x)=−2sin(x−π4), determine its amplitude and period, and then graph it for two…

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