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Tofind:the equation of conic using its given description and graph the equation.
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Answer to Problem 29RE
The hyperbolic equation is
Explanation of Solution
Given:
Hyperbola center at
vertex is at
Concept used:
Formula for hyperbola forming open left and right.
Form:
Center=
Vertices=
Slope of asymptotes:
Equation of asymptotes:
Formula for hyperbola opening up and down:
Form:
Center:
Vertices:
Slope of asymptotes:
Calculation:
According to the given:
Hyperbola center at
vertexis at
Thus, the equation is in the form:
Here center=
Thus,
Focus=
vertex
Thus,
Hence the equation is
The equation can be in shown in graph as:
The graph of hyperbolic equation
Hence, hyperbolic equation is
Chapter 10 Solutions
Precalculus
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