Mathematics: Asinusoidal function whose frequency is 1/6pi

Asinusoidal function whose frequency is 1/6pi

samueldfhung

09.03.2022

B. $f(x)=9\sin (\frac{x}{3})+3$

Step-by-step explanation:

We are given that,

The frequency of the function is $\frac{1}{6\pi}$

The maximum and minimum value is 12 and -6.

Also, the y-intercept is 3.

From the options, we have,

Options C and D have minimum value 6. So, they does not represent the given function.

We know, 'If a function has a period P, then the function a+f(bx+c) will have the period $\frac{P}{|b|}$ .

Also, 'The frequency is the reciprocal of the period'.

So, function a+f(bx+c) will have the frequency $\frac{|b|}{P}$ .

From the options, we see,

Option B have the frequency, $\frac{\frac{1}{3}}{2\pi}$ i.e. $\frac{1}{6\pi}$ .

Option A have the frequency, $\frac{6\pi}{2\pi}$ i.e. 3

Thus, option A is not correct.

Hence, option B is the required sinusoidal function.

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natlovesfood

04.10.2021

9000

Step-by-step explanation:

Harry's loan is initially $9000. This is before t months. His remaining debt will change this.

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