One Side of a Rectangle Is Increasing at 4 Ft/min

question 195

Essay

One side of a rectangle is increasing at 4 ft/min and another at 7 ft/min. At the time when the first side is 24 ft long and the second is 32 ft long, find
(a) how fast the area is changing.(b) how fast the diagonal is changing.

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Definitions:

Systematic Sampling

A sampling method where elements are selected from an ordered sampling frame at regular intervals determined by the sample size.

Equal Chance

A principle ensuring that all participants or elements in a given context have the same likelihood of being chosen or occurring.

Population

The complete set of all elements or items under study in a given survey or experiment, from which a sample may be drawn.

Sampling Distribution

The distribution of a statistic (like the mean or proportion) derived from a large number of samples of the same size drawn from the same population.