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
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