Which one of the following statements does not accurately describe vibrations?
Answer: Force vibrations, such as those between a tuning fork and a large cabinet surface, results in a much lower sound than was produced by the original vibrating body.
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Shortly after exercising self-control, people become less restrained in their aggressive responses to provocation. If you learn how to control yourself, your life with other people will be much easier. You will know how to deal with provocation better, and not to be so stressed out about it. You will know when to stand up for yourself, and when to keep quiet.
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To solve this problem we will apply the concepts related to the calculation of the surface, volume and error through the differentiation of the formulas given for the calculation of these values in a circle. Our values given at the beginning are


The radius then would be

And

PART A ) For the Surface Area we have that,

Deriving we have that the change in the Area is equivalent to the maximum error, therefore

Maximum error:


The relative error is that between the value of the Area and the maximum error, therefore:


PART B) For the volume we repeat the same process but now with the formula for the calculation of the volume in a sphere, so


Therefore the Maximum Error would be,



Replacing the value for the radius


And the relative Error


