Concept explainers
To show: The curves
Answer to Problem 51E
The curves
Explanation of Solution
Given Information: Two curves
Calculation:
The tangent to the curve
At point
The equation of the tangent line is,
At point
The equation of the tangent line is,
The tangent to the curve
At point
The equation of the tangent line is,
At point
The equation of the tangent line is,
Two curves are orthogonal at a point of intersection if their tangents at that point cross at right angles.
Clearly, both the curves are orthogonal.
The curve along with the tangents are,
Red ellipse represents
Light blue curve represents
Chapter 4 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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