Answer the question.It took 22 seconds for the temperature to rise from 3° F to 130° F when a thermometer was taken from a freezer and placed in boiling water. Although we do not have detailed knowledge about the rate of temperature increase, we can know for certain that, at some time, the temperature was increasing at a rate of  ° F/sec. Explain.

What will be an ideal response?


The average rate of temperature change is ° F/sec during the 22 seconds. Therefore, the Mean Value Theorem implies that at sometime during this time period, the temperature was changing at a rate of  ° F/sec.

Mathematics

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A. 10 B. 34 C. -4 D. 36

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Using Green's Theorem, find the outward flux of F across the closed curve C.F = ln (x2 + y2) i + tan-1 j; C is the region defined by the polar coordinate inequalities  and 

A. 56 B. 106 C. 112 D. 0

Mathematics

A bacterial culture grows according to the formula . If it takes 9 days for the culture to triple in size, how long will it take to double in size? Round your answer to the nearest tenth of a day. ?

A. 6.4 days B. 6.1 days C. 6.9 days D. 5.7 days E. 5.4 days

Mathematics

Find a value of k that will make f a probability density function on the indicated interval.f(x) = kx; [2, 4]

A.
B.
C.
D.

Mathematics