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Math 1550 Fall 2005 Section 31 P. Achar
 

Summary: Math 1550 Fall 2005
Section 31 P. Achar
Exam 2 Solutions
October 4, 2005
Total points: 50 Time limit: 1 hour
No calculators, books, notes, or other aids are permitted. You must show your work and justify your
steps to receive full credit.
1. (4 points) Short answer. Warning: At least one of the questions below is a trick question. If you
think a question has no meaningful answer, write the words "TRICK QUESTION" as your answer.
(a) State both limit definitions of f (x).
Solution: lim
h0
f(a + h) - f(a)
h
and lim
xa
f(x) - f(a)
x - a
(b) Suppose the graph of h(x) passes through the point (5, 3), and the tangent line to the graph at
this point is given by y = -3x + 18. What is h (5)?

  

Source: Achar, Pramod - Department of Mathematics, Louisiana State University

 

Collections: Mathematics