A plane flying horizontally at a constant altitude of 2 miles and a speed of 450 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when the plane is 5 miles away from the station. a) Draw the picture. b) Write the given and unknown derivative in d/dt notation. Inft imit using c) Label the variables. d) Proceed to solve and finish the problem. Reminder, keep solutions and answer in exact form.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.1: Graphs Of Equations
Problem 9ECP
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A plane flying horizontally at a constant
altitude of 2 miles and a speed of 450 mi/h passes
directly over a radar station. Find the rate at which the
distance from the plane to the station is increasing when
the plane is 5 miles away from the station.
a) Draw the picture.
b) Write the given and unknown derivative in d/dt
notation.
imit or Infirite limit
c) Label the variables.
d) Proceed to solve and finish the problem. Reminder,
keep solutions and answer in exact form.
Transcribed Image Text:A plane flying horizontally at a constant altitude of 2 miles and a speed of 450 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when the plane is 5 miles away from the station. a) Draw the picture. b) Write the given and unknown derivative in d/dt notation. imit or Infirite limit c) Label the variables. d) Proceed to solve and finish the problem. Reminder, keep solutions and answer in exact form.
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