I've attached an image showing the data relationship.
Answer:
1) y does not change based on changes in x: no-correlation
2) y tends to increase as x increases: positive correlation
3) y tends to decrease as x increases: negative correlation
Step-by-step explanation:
1) y does not change based on changes in x: This means that there is no correlation between y and x since change in x doesn't affect y.
2) y tends to increase as x increases: This implies positive correlation because the output increases with increase in input.
3) y tends to decrease as x increases: This implies negative correlation because the output decreases with increase in input values.
The limit is presented in the following undefined form:

In cases like this, we can use de l'Hospital rule, which states that this limit, if it exists, is the same as the limit of the derivatives of numerator and denominator.
So, we switch

The derivative of the numerator is

Whereas the derivative of the denominator is

So, the new limit is

So, it would seem that we didn't solve anything, but indeed we have! Recall the limit

to conclude that the limit converges to \dfrac{6}{25} [/tex]
Volume of carton would be 768 inches
4 × 4 × 4 = 64
12 × 64 = 768
Answer:
See the attachment
Step-by-step explanation:
It is convenient to use a spreadsheet or graphing calculator for this.