please it's basic math help it is based on Coordinate Transformations - my answers are wrong so could u write the correct ones p
lease
2 answers:
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The range of a function is the set of all possible outputs.
When the quadratic functions are in standard form, they generally look like this:
If a is positive, the function opens up; if it’s negative, the function opens down. In this form, the y-coordinate of the vertex is found by evaluating f(−). For example, consider this function:
f(x) =
So we’re gonna do: −b/2a=−8/2(−2)=−8/−4=2
Then, we plug this in:
a is negative, so the range is all real numbers less than or equal to 5.
Learn more about range at
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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
