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

Answer: 96
Step-by-step explanation:
Simply multiply the first question by 12 to get 2x+8y=96
<em>Hope it helps <3</em>
For
ax+by=c
the slope is -a/b
20x+25y≥200
slope=-20/25=-4/5
negative slope
yint is where x=0
20(0)+25y≥200
25y≥200
y≥98
positive yint
x+y<10
slope=-1/1=-1
yint is where x=0
y<10
yint is at y=10
since it is equal, it is solid line
to tell if it is above then sub (0,0) and see if true
0≥200
false
shade on side that doesn't have (0,0), shade above line
x+y<10 doesn't have equal under so it is dashed
test (0,0)
0<10
true, it is shaded below
test point (4,5)
20(4)+25(5)≥200
80+125≥200
225≥200
true
4+5<10
9<10
true
so the ones that are true are
The line x + y < 10 has a negative slope and a positive y-intercept.
The line representing 20x + 25y ≥ 200 is solid and the graph is shaded above the line.
The overlapping region contains the point (4, 5).
I am unsure what you are talking about please improve your question next time please.
For the given points
and
, we have to find the ordered pair that represents YZ.
YZ is calculated by finding the difference between the coordinates Z and Y.
So,




Magnitude of coordinate (x,y) is calculated by the formula = 
Magnitude of YZ=
= 

units.