Let f(x) and g(x) be given by
f(x)= (1/x) +(1/(x−2)) +(1/(x−4)) + ... +(1/(x−2018))
and
g(x)=(1/(x−1)) +(1/(x−3)) +(1/(x−5)) +...+ (1/(x−2017)).
Prove that ∣ f(x)−g(x)∣ >2
for any non−integer real number
x satisfying 0<x<2018.
There is a field. Everyday kids throw some balls on the field. At night the farmer goes and place the bucket in a place where it will contain the most amount of balls.
the field can be represented as a line of length 10. the bucket can be represented as a line of length 2.
If the kids have thrown 3 balls into the field, what is the probability that the bucket will contain 2 balls
how a sample looks like
Where the blue line represents the field. and the red line represents the bucket. and the dots are the balls
A truck, P, travelling at 54km/h passes
a point at 10:30 am while another truck,
Q travelling at 90km/h passes through
this same point 30 minutes later. At
what time will truck Q overtake P?