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7 for Each of the Following Functions, Determine If the Graph

Question 27

Essay

7 For each of the following functions, determine if the graph shows damped oscillation. If so, state the damping factor.
(a) f(x)=x+sinx f(x)=x+\sin x
(b) f(x)=3xcos4x f(x)=3^{-x} \cos 4 x
(c) f(x)=4xcos2x f(x)=-4 x \cos 2 x
(d) f(x)=2sin3x f(x)=2 \sin 3 x
(e) F(x)=0.35e0.07xcos2x F(x)=0.35 e^{-0.07 x} \cos 2 x ch04_p29_35 3/15/10 11:51 AM Page 33
FORM A
4 Chapter Test (continued) NAME

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