To find: The two points where the curve crosses the x- axis. Further, show that the tangents to the curve at these points are parallel, common slope of these tangents.
Answer to Problem 49E
The two points where the curve crosses the x- axis are
The common slope of these tangents is
Explanation of Solution
Given Information: The equation of the curve is
Calculation:
The points where the curve crosses the x- axis can be obtained by finding thex -intercepts. Put
The two points where the curve crosses the x- axis are
Find the derivative of the function to find the tangents,
The tangent at the point
The tangent at the point
Clearly, at both the points tangent is equal to -2.
The common slope of these tangents is
Chapter 4 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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