a)
To find:the points if any at which the tangent to the curve
a)
Answer to Problem 11RE
The points at which the horizontal tangent occurs for the curve
Explanation of Solution
Given information:
Equation of the curve:
Formula used:
For horizontal tangents to occur,
Calculation:
The given equations are:
Find
To find if there are any horizontal tangents, substitute
It is evident that at
When
Similarly, when
Hence, the points at which the horizontal tangent occurs for the curve are
b)
To find:the points if any at which the tangent to the curve
b)
Answer to Problem 11RE
Vertical tangents are not present for the curve with equation
Explanation of Solution
Given information:
Equation of the curve:
Formula used:
For vertical tangents to occur,
Calculation:
The given equation is
Find
For a vertical tangent to occur
But,
Therefore, vertical tangents are not present for the curve with equation
Chapter 10 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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