(a)
To describe: the representation of the equation.
(a)
Answer to Problem 43E
Here, the given curve represents a parabola.
Explanation of Solution
Given:
Calculation:
Given the following equation:
Comparing with the standard equation for a Quadratic Curve,
Thus,
Now, discriminate
Since
Conclusion:
Hence, the given curve represents a parabola.
(b)
To show: The graph of the equation is a given line.
(b)
Answer to Problem 43E
Here, the curve is a straight line.
Explanation of Solution
Given:
Line
Calculation:
The left hand side of the given equation factors as a perfect square.
Therefore, the equation becomes
So, the curve is a degenerate parabola (i.e. a straight line).
Conclusion:
Hence, the curve is a degenerate parabola which is a straight line.
Chapter A5 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Precalculus (10th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus and Its Applications (11th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
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