A particle moves along the x-axis so that at time t\ge 0t≥0 its position is given by x(t)=-t^3+12t^2+99t. x(t)=−t 3
+12t
2
+99t. Determine all intervals when the speed of the particle is increasing.

i believe it is b. what was the cause of the big bang

hope this !

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.

snell's law

refractve index = sin incidence / sin refraction