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:
Step-by-step explanation:
Prime factorize the given number. All factors should have pair. If all factors have pair, then it is a perfect square
EG: 36 : Factors of 36 are 2,3,2,3. Here there are two 2's and two 3's. so 36 is a perfect square.
EG: 24: Factors of 12 are 2,2,3. Here 3 is without pair. so it is not a perfect square.
Step-by-step explanation:
The Base of the triangle= 3+6=9 units
Altitude of the triangle=6-2=4 units
Hence, Area of a triangle= Base×Altitude ×1/2
Hence, Area of the abc = 9×4×1/2=18 unit^2
Answer: See Explanation
Step-by-step explanation:
Take the amount of money and divide by the ounces for how much it costs per ounce
1.35 / 12 = 0.1125 per ounce
2.10 / 20 = 0.105 per ounce
3.60 / 32 = 0.1125 per ounce
The Big Swig would be the best deal because the cost per ounce is the lowest, getting you the cheaper price for a good size. I believe I did this right, hope I could help.
