The resulting R'ST' is an example of what kind of transformation?
1 answer:
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Answer:
5x2x2x2x2x7x7
Step-by-step explanation:
First list all of the prime factors of 1120. You can do this by drawing a factor tree.
The results are:
5,2,2,2,2,7,7
To make 1120 a product of its prime factors, we just have to write it in the form:
5x2x2x2x2x7x7
Hope this helps
You're using Rolle's theorem. This theorem states that, if a function is continous in and differentiable in
, and
, then there exists a middle point
such that
In other words, if a continous and differentiable function starts and ends at the same height, then it has a maximum or minimum.
In your case, since the function is differentiable in the closed interval, it is also continuous in the closed interval (differentiability implies continuity), and also being differentiable in the closed interval obviously implies that the function is differentiable in the open interval. Also, you're given that the function evaluates to 4 at both extreme points, so the hypothesis of the theorem are granted.