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Quiz Calculus 1

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Quiz 7
Fall 2021 MA 16100
Date: Tuesday, September 16, 2021
Maximum Points: 20
Time: 10 minutes
1. Consider the function f (x) = x2 + 5
6 points
(a) Sketch the graph of f (x)
(b) Sketch the graph of f 0 (x)
2. Sketch the curve x2 + y 2 = 16 and determine the location of any vertical
tangent lines.
6 points
3. What is the gradient of the vertical line x = 5?
4 points
A undefined
B0
C∞
4. Consider the graph below
4 points
(a) At which points is the gradient negative?
(b) At which points is the gradient positive?
(c) For points A-E, list the slopes in decreasing order.
1
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