Consider the following equations. f(x) = −5x3 , y= 0 , x =−2 , x =−1

Sketch the region bounded by the graphs of the equations.

Please, see the image below.

Step-by-step explanation:

I attached an image of the sketched region below.

You take into account that y=0 is the x axis.

Furthermore, you take into account that f(x)=-5x^3 is, for x=-2 and x=-1:

f(-2)=40

f(-1)=5

Finally, the region bounded by the equations is above the negative x axis.

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.

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step-by-step explanation: