To identify: The graph of the equation.
Answer to Problem 26E
The new equation is a hyperbola.
Explanation of Solution
Given:
Calculation:
Comparing with the standard equation for a quadratic curve,
Thus,
For the cross-product term to vanish, the coordinate axes must be rotated by an angle
Therefore,
After rotation of coordinate axes, the original coordinates,
Substituting the above values of
which is a hyperbola.
Conclusion:
Hence, the new equation is a hyperbola.
Chapter A5 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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