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# Please... You're my only hope

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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
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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

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