A yam is put into a hot oven, maintained at a constant temperature of 200'C. At time t = 30 minutes, the temperature T of the yam is 120°C and is increasing at an instantaneous rate of 2 degrees per minute. Newton's Law of Cooling (or, in this case, warming) implies that the temperature at time t is given by T (t) = 200 – aebt. Find a and b.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 31PT: A bottle of soda with a temperature of 71 Fahrenheit was taken off a shelf and placed ina...
Question
A yam is put into a hot oven, maintained at a constant temperature of 200'C.
At time t = 30 minutes, the temperature T of the yam is 120°C and is increasing
at an instantaneous rate of 2 degrees per minute. Newton's Law of Cooling
(or, in this case, warming) implies that the temperature at time t is given by
T(t) = 200 – aebt.
%3D
Find a and b.
Transcribed Image Text:A yam is put into a hot oven, maintained at a constant temperature of 200'C. At time t = 30 minutes, the temperature T of the yam is 120°C and is increasing at an instantaneous rate of 2 degrees per minute. Newton's Law of Cooling (or, in this case, warming) implies that the temperature at time t is given by T(t) = 200 – aebt. %3D Find a and b.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning