For Each of the Following Functions, Determine If the Graph $f(x)=4^{-x} \cos 3 x$

question 6

Essay

For each of the following functions, determine if the graph shows damped oscillation. If so, state the damping factor.
(a) $f(x)=4^{-x} \cos 3 x$
(b) $f(x)=x+\cos x$
(c) $f(x)=-5 x \cos 3 x$
(d) $f(x)=4 \sin \frac{x}{3}$
(e) $F(x)=0.45 e^{-0.1 x} \cos 2 x$

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Definitions:

Harvest

The process of gathering ripe crops from the fields.

Grain

The seeds of cereal crops such as wheat, rice, corn, which are used as food for humans and livestock.

Rats

Small to medium-sized rodents that are known for their strong survival skills and adaptability to various environments.

Consume

The act of using up a resource or goods, or the process of buying and using products and services.