Answer:
a⁴b⁴ - c⁴
Step-by-step explanation:
The difference of squares formula states that (a - b)(a + b) = a² - b². In this case, a = a²b² and b = c² so a² - b² = (a²b²)² - (c²)² = a⁴b⁴ - c⁴.
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:
c/8
Step-by-step explanation:
This is division. This can be figured out by reading "split". If something is to be split, it is the dividend.
The constant term in the given equation is -3. This is the point where the graph must cross the y-axis. Graph B crosses at +3, so is not the answer.
The coefficient of x is 3/4. This means the line rises 3 units in 4 horizontal units. The line in Graph C appears to rise 3 units in 2 horizontal units, so is not the answer.
Graph A has the correct y-intercept and slope, so is the correct choice.
Answer:
-6v < -3; v> -0.5
Step-by-step explanation:
We have to find a number let say x
Given that:
-6v < x ........... eq1
v> - 0.5 ........... eq2
By taking equation 1
-6v < x
Dividing both sides by -6
(inequality will be inverted because of negative sign)
-6/-6 v > x/-6
v > x/-6 .........eq3
Now comparing eq2 and eq3 we get:
x/-6 = -0.5
Multiplying both sides by -6
x = -0.5 * -6
x = -3
So it will give:
-6v < -3; v> -0.5
I hope it will help you!