To calculate: The slope of the curve at each indicated point.
Answer to Problem 42E
The required slope of the curve at
Explanation of Solution
Given information:
The curve:
The graph of the curve:
Calculation:
The given curve is
The points are
It is known that in a polar coordinate system, if
Rewrite x and y as:
And,
Since, polar curves lie in xy -plane; so, the slope of the polar curve and the slope of the tangent are same that is,
The slope can be written as:
Now, write the slope at
Write the slope at
Write the slope at
Write the slope at
Hence, the required slope of the curve at
Chapter 11 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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