Researchers find a creature from an alien planet. Its body temperature is varying sinusoidally with time. 35 minutes after they start timing it reaches a high of 120 35 minutes after they start timing. 20 minutes later it reaches 104

How would I Sketch a Graph???

How would I write an equation for it???

How would I find the temperature when they stated timing

LithuanianHuman
Oct 2, 2017

#1**+1 **

Here's one possibility

Here's a possibility [ but maybe not the only one !!! ]

We can solve this system

Asin (35pi/70) + B = 120 note .......Asin (35pi/70) = Asin (pi/2) = A

Asin (55pi/70) + B = 104

A + B = 120

A + .62349B= 104

Solving this system for A and B produces A = 42.4956 B = 77.5044

The beginning temperature ≈ 77.504

Here's a graph : https://www.desmos.com/calculator/wzxfo0xmao

Note.....the points (35, 120) and (55, 104) are on the graph

CPhill
Oct 2, 2017