When the volume of a gas changes very rapidly, an approximate relation is that the pressure P varies inversely as the 3/2 power of the volume V. If P= 400 kPa when V= 100 cm, find the derivative of P with respect to V. Evaluate this derivative for V= 100 cm". C .. dP dV (Type an expression using V as the variable.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
When the volume of a gas changes very rapidly, an approximate relation is that the pressure P varies inversely as the 3/2 power of the volume V. If P = 400 kPa when
V= 100 cm, find the derivative of P with respect to V. Evaluate this derivative for V= 100 cm.
dP
dV
(Type an expression using V as the variable.)
Transcribed Image Text:When the volume of a gas changes very rapidly, an approximate relation is that the pressure P varies inversely as the 3/2 power of the volume V. If P = 400 kPa when V= 100 cm, find the derivative of P with respect to V. Evaluate this derivative for V= 100 cm. dP dV (Type an expression using V as the variable.)
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning