(8Q) Tell whether the function exhibits damped oscillation. If it does, identify the damping factor and tell whether the damping
occurs.
2 answers:
Answer:
Option c.
No damping
Step-by-step explanation:
We can easily solve this question by using a graphing calculator or any plotting tool.
The function is
f(x) = (√11)*cos(3.7x)
Which can be seen in the picture below
We can notice that f(x) is a cosine with maximum amplitude of (√11). Neither this factor nor the multiplication of x by 3.7 serve as a damping factor since they are constants.
f(x) does not present any dampening
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Answer:
The change in volume is estimated to be 17.20
Step-by-step explanation:
The linearization or linear approximation of a function is given by:
where
is the total differential of the function evaluated in the given point.
For the given function, the linearization is:
Taking inches and
inches and evaluating the partial derivatives we obtain:
substituting the values and taking and
inches we have:
Therefore the change in volume is estimated to be 17.20