1. A particle is traveling along the x-axis and its position from the origin can be modeled by x(t)=t^3 - 2t^2+ 4t where x is centimeters and t is seconds.

a. On the interval 0< t <4, find when the particle is farthest to the right.

b. On the same interval, what is the maximum speed?

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

a 90 degree rotation across the the origin followed by a reflection across the x-axis.

step-by-step explanation: