A typhoon is a tropical cyclone, like a hurricane, that forms in the northwestern Pacific Ocean.The wind speed of a typhoon is given by a function W = w(r)where W is measured in meters/sec., and r is measured in kilometers from the center of the typhoon.What does the statement that w'(15) 0 tell you about the typhoon?
A)At a distance of 15 kilometers from the center of the typhoon, the wind speed is increasing.
B)At a distance of 15 kilometers from the center of the typhoon, the wind speed is positive.
C)The wind speed of the typhoon is 15 meters per second at any distance from the center of the typhoon.

Question

A typhoon is a tropical cyclone, like a hurricane, that forms in the northwestern Pacific Ocean.The wind speed of a typhoon is given by a function W = w(r)where W is measured in meters/sec., and r is measured in kilometers from the center of the typhoon.What does the statement that w'(15)> 0 tell you about the typhoon?
A)At a distance of 15 kilometers from the center of the typhoon, the wind speed is increasing.
B)At a distance of 15 kilometers from the center of the typhoon, the wind speed is positive.
C)The wind speed of the typhoon is 15 meters per second at any distance from the center of the typhoon.

Quizplus · Accepted Answer

The statement w'(15) > 0 indicates that the derivative of the wind speed function w with respect to r, the distance from the center, is positive at r = 15 kilometers. This means that the wind speed is increasing as the distance from the center increases at that specific point.

A Typhoon Is a Tropical Cyclone, Like a Hurricane, That