(a.)
The graph of the given equations.
It has been determined that the graph of the given equations is given as:
Given:
The equations,
Concept used:
A graphing calculator can be used to graph any equation of the form
Calculation:
The given equations are
Graphing these equations simultaneously,
This is the required graph.
Conclusion:
It has been determined that the graph of the given equations is given as:
(b.)
The estimate for
It has been determined that both
Given:
The equations,
Concept used:
The
The
Calculation:
The given equations are
Put
This implies that the
Put
Similarly, put
This implies that the
Conclusion:
It has been determined that both
(c.)
The
It has been determined after adjusting the window to
Given:
The equations,
Concept used:
Graphically, the
Calculation:
As determined previously, the graph of the given equations is given as:
Adjusting the window to
, the graph of the given curve is given as:
It can be seen from the above graph that the
Conclusion:
It has been determined after adjusting the window to
(d.)
The conic section represented by the graph.
It has been determined that the conic section represented by the graph is a circle.
Given:
The equations,
Concept used:
The general equation of a circle is
Calculation:
The given equations are
Combining both equations,
Squaring both sides,
Simplifying,
On further simplification,
This is an equation of a circle.
Moreover, as determined previously, the graph of the given equations is given as:
It can be seen easily that the above graph represents a circle.
Thus, the conic section represented by the graph is a circle.
Conclusion:
It has been determined that the conic section represented by the graph is a circle.
Chapter 10 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education