a)
To find: The possible points at which the tangent to the curve
a)
Answer to Problem 14RE
The points at which the horizontal tangent occurs for the curve
Explanation of Solution
Given information: The given equations of the curves are
Formula used: The formulas of differentiation for sine and cosine function are:
The condition for horizontal tangents to the curve occur,
Calculation:
Differentiate the equation
To find if there are any horizontal tangents, substitute
Substitute
Substitute
Therefore, the points at which the horizontal tangent occurs for the curve are
b)
To find: The possible points at which the tangent to the curve
b)
Answer to Problem 14RE
The points at which the vertical tangent occurs for the curve
Explanation of Solution
Given information: The given equations of the curve are
Formula used: The formulas of differentiation for sine and cosine function are:
The condition for vertical tangents to occur,
Calculation:
Differentiate the equation
At
Substitute
Substitute
Therefore, the points at which the vertical tangent occur are
Chapter 10 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
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