a)
To find: Draw the
The scatter plot will be as follows.
Given information:
The given table is as follows.
Date | Day | Distance (Mm) |
Mar 19 | ||
Mar 25 | ||
Mar 31 | ||
Apr 6 | ||
Apr 12 | ||
Apr 18 | ||
Apr 24 | ||
Apr 30 | ||
May 6 | ||
May 12 |
Calculation:
Enter the day values on
Figure (1)
The scatter plot will be as follows.
Figure (2)
b)
To find: The equation of best fit sine curve and superimposed it on the scatter plot.
The equation is
Calculation:
Use the
The equation is,
The superimposed graph is as follows.
Figure (3)
Figure (4)
Therefore, the equation is
c)
To find: The approximate number of days from apogee to apogee.
The approximate number of days from apogee to apogee is
Calculation:
The number of days from apogee to apogee is the period of the sine regression which is
Therefore, this is very close to the fact that the moon orbits the Earth once every
d)
To find: The approximate distance at perigee.
The approximate distance at perigee is
Calculation:
Use the
The perigee is about
Therefore, the approximate distance at perigee is
e)
To find: The date on which on which Moon is 359000 km from Earth and also explain the reason.
The date is day
Calculation:
The distance of
Therefore, the date is day
Chapter 5 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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