Y = mx + c therefore
m = 1
c = -2
Answer:
The equation that represents the motion of the string is given by:
.....[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;
or
(a)
The trigonometric function that models the motion of the string is given by:

(b)
Determine the amount of time t that it takes the string to be damped so that 
Using graphing calculator for the equation
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
is, 0.5 sec
Answer:
6, 24, 96, 384
Step-by-step explanation:
a₁ = 6
a₂ = 4 x a₁ = 4 x 6 = 24
a₃ = 4 x a₂ = 4 x 24 = 96
a₄ = 4 x a₃ = 4 x 96 = 384