Concept explainers
In Problems 31-42, rotate the axes so that the new equation contains no -term. Analyze and graph the new equation. Refer to Problems 21-30 for Problems 31-40.
a.
The new equation that contains no term.
Answer to Problem 31AYU
Explanation of Solution
Given:
Calculation:
Consider the given equation .
Using problem 21, we find that , , .
Substituting , in the above equation we get,
It is hyperbola with center at the origin; transverse axis is the , vertices .
b.
To graph: in .
Answer to Problem 31AYU
Explanation of Solution
Given:
Graph:
The graph of in .
The graph of which is also the graph of in .
It is hyperbola with center at origin; transverse axis is the , vertices .
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