MA 125 Test 3a
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STUDENT NO.
1
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Test 3a: Limits, Asymptotes, and Graphing of Functions, Exams of Calculus
The instructions and problems for test 3a in ma 125, focusing on calculating limits, finding horizontal and vertical asymptotes, critical numbers, intervals of increase and decrease, local maximal and minimum values, signs of second derivatives, and inflection points. Additionally, it includes a problem on the rate of change of the edge length of a square with respect to time.
Typology: Exams
2012/2013
1 / 5
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MA 125 Test 3a
NAME :
STUDENT NO.
- Calculate the limit of each function, provide a detailed calculation to get full credit. Write you final answer in the box. (1).
lim x→∞
x^2 ex
lim x→ 0 +^
2 x ln x
(6). Analysis the signs of the second derivative f ′′
(7) Find the intervals of concavity and the inflection points.
(8) Use the information from parts (1)-(7) to sketch the graph of f.
- If A is the area of a square with edge length x and the area of the square expands at the constant rate of 300cm^2 /sec.. Find the rate at which the edge length x increases when x = 10cm.