(a)
To find: The equation of the tangents to the curve
(a)
Answer to Problem 35E
The equation of the tangents to the curve
Explanation of Solution
Given information:
The curve is
Calculation:
The formula for the slope of the curve
Substitute
Substitute
Substitute
Further simplify.
Equate the slope to
So, the points at which the tangent has the slope equal to
The equation of the tangent line at
The equation of the tangent line at
Therefore, the equation of the tangents to the curve
(b)
To find: The equation of the normal to the curve
(b)
Answer to Problem 35E
The equation of the normal to the curve
Explanation of Solution
Given information:
The curve is
Calculation:
The points at which the tangent has the slope
The equation of normal at
The equation of normal at
Therefore, the equation of the normal to the curve
Chapter 2 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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