BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2.2, Problem 80E
To determine

To sketch: The graph for the given function P(v)=14.1v3.

Expert Solution

Explanation of Solution

Given:

The length of the blade is 3 meters.

Power produced by the turbine is given by the function P(v)=14.1v3, where v is the speed of the wind.

Power measured in watts and velocity measured in meter per second.

Wind speed lies between 1m/sand10m/s.

Calculation:

Substitute different values for v and tabulate the corresponding values of P(v) as follows,

vP(v)
2P(2)=14.1(2)3=112.8
4P(4)=14.1(4)3=4,902.4
6P(6)=14.1(6)3=3,045.6
8P(8)=14.1(8)3=7,219.2
10P(10)=14.1(10)3=14,100

Sketch the graph of the function P(v)=14.1v3 as shown in the figure below.

Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.2, Problem 80E

From Figure 1, it can be observed that the curve represents the graph of the power produced when the speed of the wind is in between 1 m/s and 10 m/s.

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!