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Nastasia [14]
3 years ago
5

Use the point-slope form, y - y1 = m(x - x1), to find the linear equation of a line that passes through the points

Mathematics
2 answers:
KonstantinChe [14]3 years ago
7 0
Answer:
1 and -3
Step-by-step explanation:
Andreyy893 years ago
4 0
Hdhhddiirjsheiwhfrhriurjtjtjitkreiiwiejr
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A guitar string is plucked at a distance of 0.6 centimeters above its resting position and then released, causing vibration. The
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Answer:

The equation that represents the motion of the string is given by:

y =Ae^{-kt}\cos(2\pi ft)     .....[1] where t represents the time in second.

Given that: A = 0.6 cm (distance above its resting position) , k = 1.8(damping constant) and frequency(f) = 105 cycles per second.

Substitute the given values in [1] we get;

y =0.6e^{-1.8t}\cos(2\pi 105t)  

or

y =0.6e^{-1.8t}\cos(210\pi t)  

(a)

The trigonometric function that models the motion of the string is given by:

y =0.6e^{-1.8t}\cos(210\pi t)

(b)

Determine the amount of time t that it takes the string to be damped so that -0.24\leq y \leq0.24

Using graphing calculator for the equation

y =0.6e^{-1.8x}\cos(210\pi x)

let x = t (time in sec)  

Graph as shown below in the attachment:

we get:

the amount of time t that it takes the string to be damped so that -0.24\leq y \leq0.24 is, 0.5 sec


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