Given the following vector fields and oriented curves C, evaluate integral F * T ds F = <-y, x> on the semicircle r(t) = <4 cos t, 4 sin t>, for 0<= t <= Pi

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Asphere has a diameter of 10 in. what is the volume of the sphere?

Aparticular telephone number is used to receive both voice calls and fax messages. suppose that 25% of the incoming calls involve fax messages, and consider a sample of 25 incoming calls. (a) what is the expected number of calls among the 25 that involve a fax message?