The profile of a section of roller coaster track is given by the equation h(x) = (2500+500sin(10pix))/x , X E [100,400], where h is the height of the track, in metres, and x is horizontal position, in metres.
a) Calculate the steepness (slope) of the track at the initial horizontal position.

The table below shows the approximate masses of a dust particle and a grain of pollen. dust particle 0.000000778 g grain of pollen 0.00000000155 g the mass of a dust particle can be estimated and written in the form a × 10^b, where a = 8 and b = the mass of a grain of pollen can be estimated and written in the form a × 10^b, where a = 2 and b = based on the estimates, the mass of a dust particle is approximately blank times larger than the mass of a grain of pollen.