???Mon 1:59PM 63% . MAC2311 Oniine Quiz 7 Fnd The 2. Question Detalls use differ

Question

???Mon 1:59PM 63% . MAC2311 Oniine Quiz 7 Fnd The 2. Question Detalls use differentiation to approximate the maximum error in using S ? as the radius of a sphere to caculate ts volume ,the measurement is off y at most 7 mm. Find the approximation of both the relative and percentage error for the volume relative error percentage error . O Question Details My Notes running north to south crosses a road going east to west at the point P. Car A is driving north along the first road, and car B is driving east along the second road. At a particular time car A is 10 kilometers to the north of P and traveling at 55 km/hr, while car ?S 15 kilometers to t e east of Pand traveling at 90 km/hr How fast is the distance between the two cars changing? kom/hr Question Details Find the critical numbers of?x) . 2x37-xar, Be sure to write your derivative as a single fraction, (Enter your answers as a comma-separated list.) 8 5 6

Explanation / Answer

The approximation error in some data is the discrepancy between an exact value and some approximation to it. An approximation error can occur because:

the measurement of the data is not precise due to the instruments. (e.g., the accurate reading of a piece of paper is 4.5 cm but since the ruler does not use decimals, you round it to 5 cm.) or
approximations are used instead of the real data (e.g., 3.14 instead of ?).

In the mathematical field of numerical analysis, the numerical stability of an algorithm indicates how the error is propagated by the algorithm.

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