To Find: If the curve has tangent at the origin.
Answer to Problem 49E
No, the graph doesn’t have a vertical.
Explanation of Solution
Given information:
The curve is:
Concept used:
If the curve
In both the case the left- and right-hand limits should be same, either
Calculation:
First check if the two-sided quotient limit of
Since the left- and right-hand limits are not equal hence vertical tangent doesn’t exist
Using graphing calculator, the graph of
Conclusion:
The function has a tangent with slope 0 at the origin. But the tangent is not vertical.
Chapter 1 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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