do - k· (0 – 10), dt where k is a constant. If the temperature of the body is initially 70°C and 10 minutes later is 40°C (a) Find k (b) Find the body's temperature after further 15 minutes.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
icon
Related questions
Question
Q8) A body is cooling in surroundings maintained at
10.
Its temperature after t minutes is given by:
de
k·(0 – 10) where kis a constant. If the temperature of the body is initially 70°C
%3D
dt
and 10minutes later is 40"C
(a) Find k
(b) Find the body's temperature after further 15 minutes.
Transcribed Image Text:Q8) A body is cooling in surroundings maintained at 10. Its temperature after t minutes is given by: de k·(0 – 10) where kis a constant. If the temperature of the body is initially 70°C %3D dt and 10minutes later is 40"C (a) Find k (b) Find the body's temperature after further 15 minutes.
Expert Solution
steps

Step by step

Solved in 5 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
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
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax