Answer:
a- this data shows us how many miles they drive per hour
for example: if they drive for 1hour then they would have driven 12 miles in distance
b- motor bike...?
Answer:
a) See the file below, b)
, c) 
Step-by-step explanation:
a) Points moves clockwise as t increases. See the curve in the file attached below. The parametric equations describe an ellipse.
b) The arc length formula is:
![s = \int\limits^{0.5\pi}_{-0.25\pi} {[\left( 3\cdot \cos t\right)^{2}+\left(-5\cdot \sin t \right)^{2}]} \, dx](https://tex.z-dn.net/?f=s%20%3D%20%5Cint%5Climits%5E%7B0.5%5Cpi%7D_%7B-0.25%5Cpi%7D%20%7B%5B%5Cleft%28%203%5Ccdot%20%5Ccos%20t%5Cright%29%5E%7B2%7D%2B%5Cleft%28-5%5Ccdot%20%5Csin%20t%20%5Cright%29%5E%7B2%7D%5D%7D%20%5C%2C%20dx)
c) The perimeter of that arc is approximately:


Answer:
Reference angle is
and tan
= -1
Step-by-step explanation:
lies in the 4th quadrant
and reference angle for angle in 4th quadrant is 2π - x , where x is the angle given.
and reference angle for
is
2π-
= 
and tan
= -tan
= -1
Since tan is negative in 4th quadrant ,therefore value will be negative for the given angle.