A rectangular enclosure is to be made
against a straight wall using three
lengths of fencing. The total length of
the fencing available is 50m. Show
that the area of the enclosure is
50x − 2x^2 , where x is the length of the
sides perpendicular to the wall. Hence
find the maximum area of the
enclosure.
If , f : [ 0 , b] →^(continuous) R
, g : R →_(b−periodic) ^(continuous) R
⇒ lim_(n→∞) ∫_0 ^( b) f(x)g(nx)dx=^? (1/b) ∫_0 ^( b) f(x)dx .∫_0 ^( b) g(x)dx
Solve: A smooth sphere A,of mass 2kg and
moving with speed 6ms^(−1) collides obliquely
with a smooth sphere B of mass 4kg. just before the impact B is
stationary and the velocity of A makes
an angle of 10° with the lines of centers of the two sphere.
The coefficient of restitution between the
spheres is (1/2). Find the magnitude and
directions of the velovities of A and B
immediately after the impact.