There are 6 horses in a race. In how many ways can the first three positions of the order of the finish occur? (Assume there are
2 answers:
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The ODE is separable, i.e. you can write
Integrating both sides gives the general solution.
Given that
, we have
and so the particular solution to the IVP is
Integrating both sides gives the general solution.
Given that
and so the particular solution to the IVP is
Answer:
v = 3.64 ft/s
Step-by-step explanation:
Given that,
Radius of a carousel, r = 18 feet
It takes 31 seconds to complete revolution.
We need to find the linear speed of the carousel at its outside edge. Distance covered is equal to the circumference of the circle.
d = 2πr
d = 2π × 18 = 113.09 feet
Let v is the linear speed. It can be given by :
So, the linear speed of the carousel is 3.64 ft/s.