Answer:
T= 47 + 3 * sin (t [tex]\pi[/tex]/2)
Step-by-step explanation:
To make oscillates function you need to use sin/cos function, based on if the function increase or decreases first. This function rises at the start so it uses sin function. The function will look like this
.
T= sin (t 2[tex]\pi[/tex])
The temperature starts at 47. Then the function changes into
T= 47 + sin (t 2[tex]\pi[/tex])
The temperature peak at 50 and the lowest at 44. Basically it's 47 +/- 3. It also has a 4-minute cycle, so the frequency is 1/4. Then the final function will be:
T= 47 + 3 * sin (t 2 [tex]\pi[/tex]/4)
T= 47 + 3 * sin (t [tex]\pi[/tex]/2)
