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nirvana33 [79]
1 year ago
6

Function a(e) represents the surface area of a cube in terms of its edge length, e, and the difference quotient is 12e 6h. what

is the average rate of change in surface area of a cube as the edge length increases from 3 inches to 5 inches?
Mathematics
1 answer:
hram777 [196]1 year ago
6 0

<u> </u><u>48 square inches per inch </u><u> is the average rate of change in surface </u><u>area</u><u>.</u>

What is an area in math?

The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.

The surface area of a cube of side length e is:

A(e) = 6 *e².

The rate of change is:

A'(e) = 2 * 6 * e

The average rate of change between 3 in and 5 in is:

r  = (A(5in) + A(3in))/2 = (2*6*5in + 2*6*3in)/2 = 48in

Now, the options are given in:

"squere inches per inch"

This is written as:

in^2/in = in.

Then we can write our above rate as:

r = 48in = 48in^2/in = 48 square inches per inch.

Learn more about area

brainly.com/question/27683633

#SPJ4

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