Aparticle moves along the curve below. y = 8 + x3 as it reaches the point (1, 3), the y-coordinate is increasing at a rate of 3 cm/s. how fast is the x-coordinate of the point changing at that instant?

Change of rate of x coordinate=1 cm/s

Step-by-step explanation:

Given that

Now differentiate with respect to time in both side

So

Given  that y-coordinate is increasing at a rate of 3 cm/s

So

Also given that coordinates (1,3)

So x=1

Now by putting the values

So  

Change of rate of x coordinate=1 cm/s

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.

6.5

step-by-step explanation:

you said it was in the question

~courtney