he crash risk of an intoxicated driver relative to a similar driver with zero blood alcohol is R(x) = 51500x4.14 + 1.09 where x is the blood alcohol level as a percent (0.01 ≤ x ≤ 0.15). Find and compare dR and ΔR for x = 0.08 and dx = Δx = 0.006. [Note: x ≥ 0.08 defines "driving while intoxicated" and R(0.08) = 2.6 means that such a driver is 2.6 times more likely to be involved in an accident than a similar driver who is not impaired.]†

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...
icon
Related questions
Question

The crash risk of an intoxicated driver relative to a similar driver with zero blood alcohol is

R(x) = 51500x4.14 + 1.09

where x is the blood alcohol level as a percent

(0.01 ≤ x ≤ 0.15).

Find and compare dR and ΔR for

x = 0.08

and

dx = Δx = 0.006.

[Note:

x ≥ 0.08

defines "driving while intoxicated" and

R(0.08) = 2.6

means that such a driver is 2.6 times more likely to be involved in an accident than a similar driver who is not impaired.]†

 
 
dR  =   
ΔR  =   

 

The reproduction function for a whale is estimated to be

f(p) = −0.0005p2 + 1.02p,

where p and

f(p)

are in thousands. Find the population that gives the maximum sustainable yield, and the size of the yield.

 

population:

size of the yield:

The crash risk of an intoxicated driver relative to a similar driver with zero blood alcohol is

R(x) = 51500x4.14 + 1.09

where x is the blood alcohol level as a percent

(0.01 ≤ x ≤ 0.15).

Find and compare dR and ΔR for

x = 0.08

and

dx = Δx = 0.006.

[Note:

x ≥ 0.08

defines "driving while intoxicated" and

R(0.08) = 2.6

means that such a driver is 2.6 times more likely to be involved in an accident than a similar driver who is not impaired.]† 

dR  =
ΔR  =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
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