let f be the function defined on
[−1,1] by
f(x)={ { ((−1,if x is rational)),((1,if x is irrational.)) :}
find U(P,f) and L(P,f).f is integrable
or not ?
3 men A,B and C can complete a
work in such a way that A works for
all the days, B works for 1st and 2nd
day and C works for 3rd, 4th and 5th
day. If B and C can do as much work
in two days as a alone does in 3 days.
If B and C can complete the work
without tbe help of A in 6 days then
how many dahs A alone do the work?
A particle of mass m moving with
speed u collides perfectly inelastically
with a sphere of radius R and same
mass, at rest, at an impact parameter
d. Find
(a) Angle between their final velocities
(b) Magnitude of their final
velocities