If a string vibrates at the fundamental frequency of 528 hz and also produces an overtone with a frequency of 1,056 hz, this overtone is the
a. first harmonic.
b. second harmonic.
c. third harmonic.
d. fourth harmonic.

the of a sound wave is defined as the amount of energy passing through a unit area of the wave front in a unit of time.
a. intensity
b. amplitude
c. compression
d. frequency

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .