3. (15 points) two points are selected randomly on a line of length l so as to be on opposite sides of the midpoint of the line. [in other words, the two points x and yare independent random variables such that x is uniformly distributed over (0, l/2) and y is uniformly distributed over (l/2, l). find the probability that the distance between the two points is greater that l/3

answer:

l-4

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²