Write a sine function that has a midline of 2, an amplitude of 4 and a period of 11.

The sine function with the desired characteristics is given by:

The standard sine function is given by:

In this problem:

Then, the equation for the sine function is:

A similar problem is given at link

y = 4 sin(2π/11 x) + 2

Step-by-step explanation:

y = A sin(2π/T x + B) + C

where A is the amplitude,

T is the period,

B is the phase shift,

and C is the midline.

A = 4, T = 11, and C = 2.  We'll assume B = 0.

y = 4 sin(2π/11 x) + 2

$5.41

step-by-step explanation:

$20 - $14.51 = $5.49.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!