Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Transcribed Image Text:9. The graph shows John's height above the ground as a function of time
T
as he rides a Ferris wheel.
20
E 16
12
Height (m)
41
John's Height above the Ground
30
60
Time (s)
90
a)
What is the diameter of the Ferris wheel?
b) What is John's initial height above the ground?
c) At what height did John board the Ferris wheel?
d)
How high above the ground is the axle on the wheel?
10. a)
Sketch the graph of f(x) = sin x, where -360° ≤x≤ 360°.
b) State the period, equation of the axis, and amplitude of f(x) = sin x.
C
Transcribed Image Text:11. a) Create a table of values for the function defined by
f(0) = cos 0, where 0° ≤ 0 ≤ 360°.
Rotation (0)
cos (
0° 30° 60° 90°
1
120°
b)
Plot these points, and draw a curve.
c) Is this a sinusoidal function? Explain.
d) Determine the period, the equation of the axis, and the amplitude
of the function.
Rotation (0)
tan 0
e) How does this periodic function compare with the function
f(0) = sin 0?
12. a) Create a table of values for the function defined by
f(0) = tan 0, where 0° ≤ 0 ≤ 360°.
330° 360°
0° 30° 60° 90°
0
120° ... 330° 360°
b) Plot these points, and draw a curve.
c) Is this a sinusoidal function? Explain.
d) Determine the period, the equation of the axis, and the amplitude
of the function.
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