a)
To find: The coordinates of points
a)
Answer to Problem 71RE
The coordinate points are
Explanation of Solution
Given: Equation of hyperbola
Concept Used: Differentiation with respect to
Calculation: We have equation
Differentiate above equation with respect to
Tangent will be horizontal when
Put
Conclusion: Hence, the points where the tangent lines are horizontal are
b)
To find: The coordinates of points
b)
Answer to Problem 71RE
The coordinate points are
Explanation of Solution
Given: Equation of hyperbola
Concept Used: Differentiation with respect to
Calculation: The given equation
Differentiate above equation with respect to
Tangent will be vertical when denominator of
Now, substitute the
Now put
Conclusion: Hence, the points where the tangent is vertical are
Chapter 4 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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