(a)
To find: the kind of given
(a)
Answer to Problem 39E
Here, the given curve represents a hyperbola.
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 hyperbola.
(b)
To solve: the given equation and sketch the graph.
(b)
Answer to Problem 39E
Here, the given equation of curve is
Explanation of Solution
Given:
Calculation:
The graph of the above function is plotted below.
Conclusion:
Hence, the given equation of curve is
(c)
To find: the equation for the line parallel to a line.
(c)
Answer to Problem 39E
Here, the equation for the line parallel to the line is
Explanation of Solution
Given:
Line
Calculation:
Slope of given line
For the lines to be normal to the curve,
For
Therefore,
So, the line is
Or,
For
Therefore,
So, the line is
Or
Adding the lines to the plot, the graph becomes:
Conclusion:
Hence, the equation for the line parallel to the line is
Chapter A5 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
Additional Math Textbook Solutions
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