To find the maximum velocity you have to differentiate the function respect to r.
v = k(R - r)r^2 = kRr^2 - krr^2 = kRr^2 - kr^3
k and R are constants.
=> v' = 2kRr - 3kr^2 = kr(2R - 3r)
maximum velocity => v' = 0 => kr(2R - 3r) = 0
r = 0 or 2R - 3r = 0 => r = 2R / 3
Answer: r = 2R / 3
Distance between Kalamazoo and Ann Arbor is 152 kilometers (94 miles).
The two posts are parallel lines. The ground is a transversal.
The angles measuring 4x and 75 are same side interior angles, so they are supplementary. Their measures add up to 180.
4x + 75 = 180
4x = 105
x = 26.25
Answer:
c and b
Step-by-step explanation:
On a supply and demand graph you would see that the supply would meet the demand at the central point creating a secure system. However, this could change for the better or worse, compared to how "popular" the item is in the market.