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:
-1/6
Step-by-step explanation:
= 1/3 (-1-1) x -1/4 (-1)
= 1/3 (-2) x 1/4
= -2/3 x 1/4
= -2\12
2 and 12 can cancel out each other.
so the answer will be.
= -1/6.
15 is your answer, because 7+7=14 and its greater then 14 but less then 8+9 which = 16.
Answer:
Completing the square we get: 
and factoring the term we get: 
Step-by-step explanation:
We need to complete the square for the expression 
For completing the square the expression would be of form 
For given expression we have to add (2)^2 and subtract to make it complete the square.

Now, we have to factor the polynomial using formula 
So, 
Completing the square we get: 
and factoring the term we get: 