Question

A cup of coffee at 100 degrees Celsius is put into a 20-degree Celsius room when t=0. The coffee's temperature, f(t), is changing at a rate given by f'(t)=-6(0.9)^t degrees Celsius per minute, where t is in minutes. Estimate the coffee's temperature when t=10.

Name: a cup of coffee at 100 degrees celsius is put into a 20 degree celsius room when t0 the coffees temperature ft is changing at a rate given by ft609t degrees celsius per minute where t is in 83498
Uploaded: 2022-04-23T17:01:03-08:00
Duration: 4 min 14 s
Channel: Suman K
Description: a cup of coffee at 100 degrees celsius is put into a 20 degree celsius room when t0 the coffees temperature ft is changing at a rate given by ft609t degrees celsius per minute where t is in 83498

          A cup of coffee at 100 degrees Celsius is put into a 20-degree Celsius room when t=0. The coffee's temperature, f(t), is changing at a rate given by f'(t)=-6(0.9)^t degrees Celsius per minute, where t is in minutes.
Estimate the coffee's temperature when t=10.

Added by Jeffery N.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Suman K

04/23/2022

Step 1

9)^t dt \] \[ F(t) = -6 \cdot \frac{0.9^t}{\ln(0.9)} + C \] ** Show more…

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A cup of coffee at 100 degrees Celsius is put into a 20-degree Celsius room when t=0. The coffee's temperature, f(t), is changing at a rate given by f'(t)=-6(0.9)^t degrees Celsius per minute, where t is in minutes. Estimate the coffee's temperature when t=10.