1) Calculate the whole arc (complete circumference):
Circumference = 2π*radius
radius = 6 foot
=> Circumference = 2 * 3.14 * 6 foot = 37.68
2) Calculate the time to make a whole round, by making a proportion with the two ratios:
ratio 1 = x / 37.68 =
ratio 2 = 3 / 14.13
ratio 1 = ratio 2 =>
x 3s
---------- = -----------
37.68 ft 14.13 ft
=> x = 3 * 37.68 / 14.13 = 8 s
3) Calcuate the angular velocity as the 2π rad (which is the total angle of a circle) divided by the time.
So the angular velocity is 2π rad / 8 s = 2*3.14 foot / 8 s = 0.785 rad / s
Answer: 0.785 rad / s
Split up the interval [0, 3] into 3 equally spaced subintervals of length
. So we have the partition
[0, 1] U [1, 2] U [2, 3]
The left endpoint of the
-th subinterval is

where
.
Then the area is given by the definite integral and approximated by the left-hand Riemann sum

Answer:

Step-by-step explanation:
We know that 
Also , 
So ,

Answer:
The answer to your question is letter A
Step-by-step explanation:
In the picture, we can observe that
UF is the diameter of the circle. Diameter is a line that reaches from one point on the edge of a circle, through its center, to a point on the opposite side.
WM is a secant or a chord
WO is the radius
OF is also a radius
Answer:
2/10
Step-by-step explanation:
smart 'v'