The mean orbital radius r (in units of 10 5 km ) of a moon of Saturn can be modeled by the equation r = 1.93 t 2 / 3 , where t is the time in (Earth) days for the moon to complete one orbit about the planet. Use this model to estimate the instantaneous rate of change of r with respect to t when t = 0.602 day (the orbital period of Saturn’s moon Atlas).
The mean orbital radius r (in units of 10 5 km ) of a moon of Saturn can be modeled by the equation r = 1.93 t 2 / 3 , where t is the time in (Earth) days for the moon to complete one orbit about the planet. Use this model to estimate the instantaneous rate of change of r with respect to t when t = 0.602 day (the orbital period of Saturn’s moon Atlas).
The mean orbital radius
r
(in units of
10
5
km
) of a moon of Saturn can be modeled by the equation
r
=
1.93
t
2
/
3
, where
t
is the time in (Earth) days for the moon to complete one orbit about the planet. Use this model to estimate the instantaneous rate of change of
r
with respect to
t
when
t
=
0.602
day (the orbital period of Saturn’s moon Atlas).
According to data from the Hill AerospaceMuse um (Hill Air Force Base, Utah), the speed of sound varies depending on altitude, barometric pressure, and temperature. For example, at 20,000 feet, 13.75 inches ofmercury, and - 12.3°F, the speed of sound is about 707 miles per hour, but the speed can vary from this result by as much as 55 miles per hour as conditions change.(a) Express this situation as an inequality involving an absolute value.(b) Using x for the speed of sound, solve for x to find an interval for the speed of sound.
arcsin (0.3)=
When drugs are administered into the bloodstream, the amount of the drug present
decreases continuously at a constant rate. The amount of a certain drug, Xanaz, in the
bloodstream is modeled by the function, where is the initial dosage, and t is the time (in
hours) after the initial dose was given.
The following chart shows the relationship between the original dose and how much is sti
in the system after so much time.
Xanax (3mg) amount still in system after X hours
2.5
1.5
0.5
2
10
12
14
16
18
20
22
24
Number of hours after dose was taken
After how many hours will there be approximately 1/2 of the original dose in the body?
3.
2.
1.
Amount still in the system in mg's
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