SportsBounceCo makes only boxes that have sides that are measured in whole inches, like the boxes you have been describing so fa
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<u>Answer:</u>
x ---> 1
y ---> 5
<u>Step-by-step explanation:</u>
We are given paired values for two variables x and y and we are to determine the constant number by which each term is increased such that they are in a proportional relationship.
For x, we have the following paired values:
So here the difference between each consecutive term is 1 so the constant is 1.
And for y, we have:
In this case, the difference between each consecutive term is 5 so the constant is 5.
First we will evaluate: ( substitution: u = x² - y², du = - 2 y dy )
=
( than plug in x and 0 )
=
=
= 1/3 x³ ( then another integration )
= 1/3 * 1/4 = 1/12
=
=
= 1/3 x³ ( then another integration )
= 1/3 * 1/4 = 1/12