1. A sine function has an amplitude of 2, and a period of t. No phase shift nor displacement. 2. A sine function that has a midline of y = 3, a minimum point along the x-axis, a frequency of /27 and a phase shift of T2. 3. A cosine function that has the same graph as y = 2 sin x. 4. A sine function that matches the graph below:

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: 21 (b) For an object in harmonic motion modeled by y = 9 sin(3t – 7) the amplitude is 9 , the period…

A: We nee to find the phase shift and horizontal shift of y=9sin3t-π

Q: a particle travels along the x-axis such that its velocity is given by p(t) = t'. + 3 cos (2t). What…

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Q: The number of daylight hours in a northem city varies from approximately 4.4 hours on December 21 to…

A: (a) Consider the given sinusoidal function y=7.8506sin0.0165x-1.3066+12.1811. Let x represent the…

Q: The population of a species of bird in an area can be modelled by the equation P(t) = 450 + 200 cos…

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

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Q: Shown below is the graph and equation of a function describing data rate of an internet service…

A: Given: D is the data transfer rate, measured in Kilobytes per second, and t is time in seconds.…

Q: Design a sine function with the given properties.  It has a period of 24 with a minimum value of 10…

A: It is given that the function has period of 24 hrs with minimum value of 10 at t=3 and a maximum…

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

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Q: Given

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

Q: Match each graph of a Trig function with its e 27/3 TT/3 y = arcsin(x) y = cos(x) y = tan(x) y =…

A: 1st graph is of  y = arcsinx

Q: 10- A cosine function has a maximum value of 1, a minimum value of -5, a phase shift of t/4 to the…

A: Let equation of function  f(x)=aCOS(2x+π/4)+b

Q: A sketch of the graphs of two sinusoidal periodic functions F(X) & g((x) are shown below. The point…

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Q: 6. An oil tanker struck an iceberg and is losing oil and producing a circular oil slick that is…

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

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Q: Graph two periods of the given tangent function. Next Question 1 tan 2x y=5 1 Choose the correct…

A: Solution: we have , y=1/2 tan2x we are using graphing tool to make graph

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: 13. The record for most snowfall measured in 24 hours in the United States is held by Silver Lake,…

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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: Find a function of the form y= A sin(kr) + Cor y= A cos(kr) +C whose graph matches the function…

A: Consider a sinusoidal function of the form, y = A sin(kx) + C               ...(1) Where,…

Q: Suppose a mass-spring system exhibits damped harmonic motion, modeled by the function f (t) =…

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Q: 1) Given the graph, which value correctly identifies the amplitude, midline, and period? 3 -6x 37 -1…

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Q: The position of a weight on a spring is s(t) = -5 cos 4nt %3D inches after t seconds. Include units…

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Q: 11. Given y = -2 Sin ( 2( x + ) + 6 Find Amplitude (A), Period (P), Vertical Shift (V), Phase Sh…

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Q: 12 For the given function y 3 cos ( 0 2 state the following (show al Work) a) Amplitude b) Period c)…

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Q: 1. The outside temperature of one day (from midnight to midnight) can be modeled as a sinusoidal…

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Q: Write an equation for a function with the given characteristics. A sine curve with a period of n, an…

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Q: A mass hanging from a vertical spring is in simple harmonic motion as given by the following…

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Q: A mass attached to a spring is pulled downward and released. The displacement of the mass from its…

A: Given :- d= Acos(ωt) f=95Hz Shortest length =15 cm. Largest length = 35cm.

Q: The blood pressure is periodic in 24 h period (wavelength) and can be modelled with a general sine…

A: Given that the period = 24 hour. The minimum blood pressure 80 mmHg is at 22:00. We can write it as…

Q: 2. Given: g(x) = sin (x – ) a2. What is the amplitude? b2. What is the period? C2. What is the phase…

A: Given:            g(x)=12sinx−π4

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: Find a function of the form y = A sin(kr) + C or y = A cos(kz) +C whose graph matches this one:…

A: topic - trigonometric functions

Q: An object's distance, in feet, from an equilibrium point is given by f (t) = 25.1 cos 3.5t where t…

A: Given that,  An object's distance, in feet, from an equilibrium point is given by   f (t) = 25.1…

Q: 2. Assuming that there is no vertical shift, find a function that describes with the following…

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Q: 3) Given y = 3 Sin( 2x +) +4 Amplitude (A), Period (P), Vertical Shift (V), Phase Shift (PS) a.…

A: 1. Firstly we compare the trigonometric equation with the form [a sin(bx - c) + d]

Q: 13. Finally, recall from class that the so-caled hyperbolic sine and cosine functions are defined in…

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Q: 5. Given the function: y = -4+ 2 sin(x), show your work to identify and label: a) amplitude c)…

A: We need to compare the given equation with standard equation.     Note- Since multiple questions are…

Q: 7. Find An object is in simple harmonic motion with frequency 5. Suppose y(0) = 1 and y'(0) its…

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Q: For equations in the form y a sin(bx + c) + d or y = a cos(bx + c) + d, = 4. Its amplitude is equal…

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Q: 4.1.42 The function graphed to the right is of the form y=a sin bx or y =a cos bx, where b>0.…

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Q: 4. Let y = 3 cos (z) +1. a) What is the amplitude? b) What is the period? c) What is the phase…

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Q: 4. Given the function: y- cos(2nx-n). show your wwork to identify and label: a) amplitude b) perlod…

A: Please refer the attached image for complete solution.

Q: _1. In the second quadrant, the graph of y = sin x goes from_. В. 1 to 0 C. 0 to -1 А. -1 to 0 D. 0…

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Q: Q1: A sketch of the graphs of two sinusoidal periodic functions f(x) & g(x) are shown below. The…

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Q: Question 21 The slope of the tangent line to the curve at the point where x = = is 00 O DNE O +1 0-1…

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Q: 5. The motion of the shock absorber is modelled by the function, h(t) = e-0.5t sint. 3 a) Identify…

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Q: a. Graph y = sin x and the curves y = ln (a + sin x) for a = 2, 4, 8, 20, and 50 together for 0…

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