a)
To find:the points if any at which the tangent to the curve
a)
Answer to Problem 12RE
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 12RE
The points at which the vertical tangent occurs for the curve
Explanation of Solution
Given information:
Equation of the curve:
Formula used:
For vertical tangents to occur,
Calculation:
The given equations are:
Find
To find if there are any vertical tangents, substitute
It is evident that at
When
Similarly, when
Hence, the points at which the vertical tangent occurs for the curve are
Chapter 10 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
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