Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line.


c.

Mathematics

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Find the median of the random variable x with the probability density function defined on the indicated interval I. The median of x is defined to be the number m such that . Observe that half of the x-values lie below m and the other half lie above m. Round the answer to two decimal places, if necessary.

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What will be an ideal response?

Mathematics

Determine whether the relation represents a function. If it is a function, state the domain and range.

A. function domain: {3, 4, 5, 6} range: {15, 20, 25, 30} B. function domain:{15, 20, 25, 30} range: {3, 4, 5, 6} C. not a function

Mathematics

Evaluate the function for the given value.Given f(x) = -, find f(8).

A. -5 B. 5 C. 3 D. 8

Mathematics

Evaluate the expression.

Fill in the blank(s) with the appropriate word(s).

Mathematics