Math 137 Winter 2010
Assignment 7
Due Friday, March 12
All solutions must be clearly stated and fully justified.
Use the format given on UW-Ace under
Content, in the folder Assignments; it is the file
Math 137 Assignment Templates
.
Text problems:
Section 4.1:
14, 34, 50, 54, 60, 70
Section 4.2:
18, 20, 28
Section 4.4: 8, 10, 20, 30, 40, 44, 50, 56, 60, 70
Section 4.1:
14. a)
Sketch the graph of a function that has two local maxima, one local
minimum, and no absolute minimum.
A typical example:
b)
Sketch the graph of a function that has three local minima, two local maxima, and seven
critical numbers.
A typical example:
34.
Find the critical numbers of g(t) = |3t – 4|
g
′
(t) = 3 if t > 4/3,
– 3 if t < 4/3, so g
′
(t) is never 0, but it DNE at t = 4/3.
So 4/3 is a critical
number for g(t).
50.
Find the absolute extremum values of f(x) = x
3
– 6x
2
+ 9x + 2 on [– 2, 3].

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