(a)
To find: the
(a)
Answer to Problem 37E
Here, the given conic section symmetric to the origin as
Explanation of Solution
Given:
Symmetric with respect to the origin.
Calculation:
Symmetry about the origin means that
Therefore, if
Then,
Adding the above two equations and then dividing by
Conclusion:
Hence, the conic section symmetric to the origin is as
(b)
To find: the conic section has the given properties.
(b)
Answer to Problem 37E
Here, the given conic section passes the given point by
Explanation of Solution
Given; Passes through the point
Calculation:
Since the point
Substituting the value of
Conclusion:
Hence, the given conic section passes the given point by
(c)
To solve: the given conic section is tangent.
(c)
Answer to Problem 37E
Here, the given conic section is tangent by the curve
Explanation of Solution
Given; Tangent tot the line
Calculation:
By implicit differentiation with respect to
For the line
Now, being given that at
Substituting the value of
Since the point
Substituting the value of
Lastly, dividing throughout by
Conclusion:
Hence, the given conic section is tangent by the curve
Chapter A5 Solutions
Calculus: Graphical, Numerical, Algebraic
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