By the divergence theorem,
where
is the boundary of
. We have
so the flux is
For the second question the answer should be 50×6=300+50=350 letters for Matilda. And for Lorraine It would be 40×6=240+80=320
Answer:
d is the answer ok :)
Step-by-step explanation:
<span>The derivative here is easy enough to find, first expand the equation into:
</span><span> g(x) = 3 - (x^2 - 10x + 25) = -x^2 + 10x - 22
Take the derivative: g'(x) = -2x +10
</span><span> Now, we have to find when the equation equals zero. So, we set g'(x) = 0. 0 = -2x + 10, 2x = 10, x = 5. When x is 5, this derivative will be zero, and that is the one and only time when the function is constant. When x is less than 5, you can plug in and see that the derivative will be positive, so the function is increasing when x is less than 5. When x is greater than 5, you can plug in and see that the derivative will be negative, so the function decreasing at x is greater than 5. Hope this helped :) have a good day!!!!!!!!!!!!!!!!!!!!!!!! </span>
