- 3x³y(x - 3y) - 7x²y² (x - 3y)
- = (x - 3y)(3x³y - 7x²y²)
- = (x - 3y)[x²y(3x - 7)]
- = x²y(3x - 7)(x - 3y)
<u>Answer:</u>
<u>x²y(3x - 7)(x - 3y)</u>
Hope you could get an idea from here.
Doubt clarification - use comment section.
For a function to begin to qualify as differentiable, it would need to be continuous, and to that end you would require that 
is such that
Obviously, both limits are 0, so 
is indeed continuous at 
.
Now, for to be differentiable everywhere, its derivative 
must be continuous over its domain. So take the derivative, noting that we can't really say anything about the endpoints of the given intervals:
and at this time, we don't know what's going on at , so we omit that case. We want to be continuous, so we require that
from which it follows that 
.
The answer you seek is 5. Enjoy
Answer
In many ways, math is closely related to science. Mathematics is a scholarly domain, and so the mathematical community works as the scientific community does — mathematicians build on each other's work and behave in ways that push the discipline forward. This progress contributes to scientific breakthroughs.
Step-by-step explanation:
