Design a sine function with the given properties:
it has a period of 24 hr with a minimum value of 10 at t=4 hr and a maximum value of 16 at t=16 hr.
show all the steps

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Step-by-step explanation:

Given information:

Period = 24 hr

Maximum = 16 at t=16 hr.

Minimum = 10 at t=4 hr.

The general sin function is

       .... (1)

where, |A| is altitude, is period, C is phase shift and D is midline.

Period is 24 hr.

Altitude is

The function is minimum at t=4 and maximum at t=16,phase shift is

Substitute these values in equation (1).

Therefore, the required function is .

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8