To find: The solutions to the system of equations
Answer to Problem 35E
The solutions are
Explanation of Solution
Given:
Calculation:
Consider the system of equations
Need to solve the system of equations by graphing
Clearly the graph of the first equation represents a circle, and the graph of the second equation represents a line
Before graph the equations, we must solve both the equations for
Now solve the first equation for
To graph the circle, draw the graphs for both functions
Solve the second equation for
Now using
Step 1: Press
The display is as shown below
Step
Step
The display is as shown below
Step
Use the up, down, left and right arrows to find the intersections as shown below.
From the graphs,
Observe that the point of intersections
Thus the system has two solutions, rounded to two decimal places are
Conclusion:
The solutions are
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning