(a)
To calculate: The points at which the tangent line to the curve is horizontal.
(a)
Answer to Problem 26E
The required points are
Explanation of Solution
Given information:
The parametric equations:
Calculation:
The parametric equations are
Differentiate the above equations with respect to t .
And,
Now,
Also,
To find the point at which the tangent line to the curve is horizontal, use the expression
So,
At
And, at
Hence, the required points are
(b)
To calculate: The points at which the tangent line to the curve is vertical.
(b)
Answer to Problem 26E
The required points are
Explanation of Solution
Given information:
The parametric equations:
Calculation:
The parametric equations are
Differentiate the above equations with respect to t .
And,
Now,
Also,
To find the point at which the tangent line to the curve is horizontal, use the expression
So,
At
And, at
Hence, the required points are
Chapter 11 Solutions
Calculus: Graphical, Numerical, Algebraic
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