(a)
To determine: The points at which the tangent to the curve is horizontal.
(a)
Answer to Problem 12RE
The required points are
Explanation of Solution
Given information:
The equations:
Formula used:
Formulas of derivatives:
Calculation:
The given equations are
And,
Write the point at which the tangent to the curve is horizontal as:
Find derivative of equation (1) and equation (2) with respect to t .
And,
Now,
It is known that a tangent to the curve is horizontal if
Substitute 0 for
Simplify the above expression for t .
Substitute
Also, substitute
Hence, the required points are
(b)
To determine: The points at which the tangent to the curve is vertical.
(b)
Answer to Problem 12RE
The required points are
Explanation of Solution
Given information:
The equations:
Formula used:
Formulas of derivatives:
Calculation:
The given equations are
And,
Write the point at which the tangent to the curve is horizontal as:
Find derivative of equation (1) and equation (2) with respect to t .
And,
Now,
It is known that a tangent to the curve is vertical if
Substitute 0 for
Substitute 0 for t in the point
Also, substitute
Hence, the required points are
Chapter 11 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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