Intervals - Calculus - Quiz, Exercises of Calculus

Main points of this past exam are: Intervals, Extreme Values, Exact Values, Relative Extrema, Important, Graph, Evaluate

Typology: Exercises

2012/2013

Uploaded on 03/31/2013

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MA 125-06
§4.2-4.5 Quiz #7 score
Name:
10 November 2000
1. Let f(x) =ln(x2+2)be defined on the interval [2,3]. Find all relative extrema of f
and find the extreme values for fon the interval. Also, determine the exact values of the
critical points and intervals of concavity. Sketch the graph of fand label all the important
points. (10 points)
2. Evaluate (and show your work) lim
x0
exx1
1+x2cos x.(5 points)
3. Evaluate (and show your work) lim
x→∞ xln(11/x).(5 points)

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MA 125-

Quiz

score

Name:

10 November 2000

  1. Let f (x) = ln (x^2 + 2 ) be defined on the interval [ − 2 , 3 ]. Find all relative extrema of f and find the extreme values for f on the interval. Also, determine the exact values of the critical points and intervals of concavity. Sketch the graph of f and label all the important points. (10 points)
  2. Evaluate (and show your work) lim x → 0

e x^ − x − 1 1 + x^2 − cos x

. (5 points)

  1. Evaluate (and show your work) lim x →∞ x ln ( 1 − 1 /x). (5 points)