Compare the formula for mutiple trapezoidal rule n=3 versus the addition of 3 single trapezoidal rule for the same problem. compare the answer, will it be the same and why?
single trapezoidal rule :
fа) + f(6) 1- (6 — а) га) 2
multiple trapezoidal rule :
f(x)) f(x,) i (b-a)o) + (2 2n
example: f(x)=0.2+25x-200x2+675x3-900x4+400x 5
a=0 b=0.8

A250-n box is at rest on a frictionless horizotal floor. then a person shoves the box with a non-zero force of magnitude p. which statement best describes the relationship betweeen p and the motion of the box after it was shoved? -the box will not move when p< 250n but otherwise will accelerate at a constant rate that is directly proportional to p - the box will begin moving at a speed that is directly proportional to p, then will gradually slow to a halt -the box will move with constant velocity at a speed that is directly proportional to p -box will accelerate across the floor at a constant rate that is directly proportional to p

Estimate the schwarzschild radius (in kilometers) for a mini-black hole formed when a superadvanced civilization decides to punish you (unfairly) by squeezing you until you become so small that you disappear inside your own event horizon. (assume that the your weight is 50 kg)

If we decrease the amount of force and keep all other factors the same what will happen to the amount of work