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: Graphical, Numerical, Algebraic: Solutions Manual
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