Holding Pattern An airplane is asked to slay within a holding pattern near Chicago’s O'Hare International Airport. The function d ( x ) = 70 sin ( 0.65 x ) + 150 represents the distance d , in miles, of the airplane from the airport at lime x , in minutes. a. When the plane enters the holding pattern, x = 0 , how far is it from Ο’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 slay within a holding pattern near Chicago’s O'Hare International Airport. The function d ( x ) = 70 sin ( 0.65 x ) + 150 represents the distance d , in miles, of the airplane from the airport at lime x , in minutes. a. When the plane enters the holding pattern, x = 0 , how far is it from Ο’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?
Solution Summary: The author explains that an airplane is asked to stay within a holding pattern near Chicago’s O’Hare International Airport. The function d (x) = 70 sin ( 0.65 x ) + 150 represents the distance
Holding Pattern An airplane is asked to slay within a holding pattern near Chicago’s O'Hare International Airport. The function
represents the distance
, in miles, of the airplane from the airport at lime
, in minutes.
a. When the plane enters the holding pattern,
, how far is it from Ο’Hare?
b. During the first 20 minutes after the plane enters the holding pattern, at what time
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
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?
The correct answer is Ccould you show me how to do it by finding a0 and and akas well as setting up the piecewise function and integrating
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1
7. Fill in the blanks to write the calculus problem that would result in the following integral (do
not evaluate the interval). Draw a graph representing the problem.
So
π/2
2 2πxcosx dx
Find the volume of the solid obtained when the region under the curve
on the interval
is rotated about the
axis.
38,189
5. Draw a detailed graph to and set up, but do not evaluate, an integral for the volume of the
solid obtained by rotating the region bounded by the curve: y = cos²x_for_ |x|
≤
and the curve y
y =
about the line
x =
=플
2
80
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FEB
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2
7
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Chapter 6 Solutions
Pearson eText for Precalculus: Concepts Through Functions, A Right Triangle Approach to Trigonometry -- Instant Access (Pearson+)
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