on a person's skin is ular region. It was fou out that the urn increases in diameter at a rate of 1/20 centimeters per second. Determine the rate of change in the area when the diameter is measured at 1.5 centimeters at that instance? 3n decreasing by 20 square centimeters per second 3n increasing by 0 square centimeters per second decreasing by 3n square centimeters per second 80 Increasine hy sauare entimeters ner second

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 78E
icon
Related questions
Question
Question
A burn on a person's skin is in a form of a circular region. It was found out that the burn increases in diameter at a rate of 1/20 centimeters per second.
Determine the rate of change in the area when the diameter is measured at 1.5 centimeters at that instance?
decreasing by 0 square centimeters per second
increasing by 40 square centimeters per second
decreasing by
80
square centimeters per second
D) increasing by
square centimeters per second
80
Transcribed Image Text:Question A burn on a person's skin is in a form of a circular region. It was found out that the burn increases in diameter at a rate of 1/20 centimeters per second. Determine the rate of change in the area when the diameter is measured at 1.5 centimeters at that instance? decreasing by 0 square centimeters per second increasing by 40 square centimeters per second decreasing by 80 square centimeters per second D) increasing by square centimeters per second 80
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Chain Rule
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
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 and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill