If there is such a scalar function <em>f</em>, then



Integrate both sides of the first equation with respect to <em>x</em> :

Differentiate both sides with respect to <em>y</em> :


Integrate both sides with respect to <em>y</em> :

Plug this into the equation above with <em>f</em> , then differentiate both sides with respect to <em>z</em> :



Integrate both sides with respect to <em>z</em> :

So we end up with

<span>The lowest common factor of 7 and 18 is 126 (this is a number that both 7 and 18 multiply into, in fact by each other). This means the 126th person will be the first to get both coupons.</span>
It’s a. Start at the y intercept and rise over run to the next point.
The answer is B. The Hometown Apts. will cost more than the
Downtown Apts. The 2 bedroom in Downtown
Apts. has a total monthly rent of $620,
electric and gas is already included on this. Meanwhile, the Hometown Apts. has
a monthly rent of $515 plus the $50 for electric and gas is $69. The total
monthly rent for Hometown Apts. is $634