. Holding Pattern An airplane is asked to stay within a holding pattern near Chicago’s O’Hare International Airport. The function d(x) = 70 sin(0.65x) + 150 represents the distance d, in miles, of the airplane from the airport at time x, in minutes. (a) When the plane enters the holding pattern, x = 0, how far is it from O’Hare? (b) During the first 20 minutes after the plane enters the holding pattern, at what time x is the plane exactly 100 miles from the airport? (c) During the first 20 minutes after the plane enters the holding pattern, at what time x is the plane more than 100 miles from the airport? (d) While the plane is in the holding pattern, will it ever be within 70 miles of the airport? Why?
. Holding Pattern An airplane is asked to stay within a holding pattern near Chicago’s O’Hare International Airport. The function d(x) = 70 sin(0.65x) + 150 represents the distance d, in miles, of the airplane from the airport at time x, in minutes. (a) When the plane enters the holding pattern, x = 0, how far is it from O’Hare? (b) During the first 20 minutes after the plane enters the holding pattern, at what time x is the plane exactly 100 miles from the airport? (c) During the first 20 minutes after the plane enters the holding pattern, at what time x is the plane more than 100 miles from the airport? (d) While the plane is in the holding pattern, will it ever be within 70 miles of the airport? Why?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
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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Question
. Holding Pattern An airplane is asked to stay within a
holding pattern near Chicago’s O’Hare International Airport. The function d(x) = 70 sin(0.65x) + 150
represents the distance d, in miles, of the airplane from the
airport at time x, in minutes.
(a) When the plane enters the holding pattern, x = 0, how
far is it from O’Hare?
(b) During the first 20 minutes after the plane enters the
holding pattern, at what time x is the plane exactly
100 miles from the airport?
(c) During the first 20 minutes after the plane enters the
holding pattern, at what time x is the plane more than
100 miles from the airport?
(d) While the plane is in the holding pattern, will it ever be
within 70 miles of the airport? Why?
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