(a) A plane is traveling due east and passes over a radar station. When the plane is directly over the station, the building and the plane are 3 miles apart. If the angle shown below is changing at a rate of 0.04 rad/s, at what rate is the distance r between the plane and the radar station changing when e = 0.25 radians? Express your answer in units of miles/hour, to three decimal places. ... 3 mi mi/hr (h) What je the eneed of the nlane (in milec/hour). at this moment? Exnr answ to three significant digits

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(a) A plane is traveling due east and passes over a radar station. When the plane is directly over the station, the building and the plane are 3 miles apart. If the angle shown below is changing at a rate of 0.04 rad/s, at what rate is the
distance r between the plane and the radar station changing when 0 = 0.25 radians? Express your answer in units of miles/hour, to three decimal places.
3 mi
r
dr
mi/hr
dt
(b) What is the speed of the plane (in miles/hour) at this moment? Express your answer to three significant digits.
speed
mi/hr
Transcribed Image Text:(a) A plane is traveling due east and passes over a radar station. When the plane is directly over the station, the building and the plane are 3 miles apart. If the angle shown below is changing at a rate of 0.04 rad/s, at what rate is the distance r between the plane and the radar station changing when 0 = 0.25 radians? Express your answer in units of miles/hour, to three decimal places. 3 mi r dr mi/hr dt (b) What is the speed of the plane (in miles/hour) at this moment? Express your answer to three significant digits. speed mi/hr
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