is conservative if we can find a scalar function 
such that 
. This is equivalent to solving the system of PDEs,
Integrate both sides of the first PDF with respect to 
:
where 
is some function independent of . Then differentiatng with respect to 
, we have
and so is indeed conservative, with
9514 1404 393
Answer:
A. Simon's unit rate is 2 more miles per hour than Eric's unit rate
Step-by-step explanation:
We are concerned with the number of miles each runs in 1 hour.
For Eric, that means x=1 in his equation, so his mileage is ...
y = 6×1 = 6 . . . . miles
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For Simon, it means we want to find time = 1 hour on the horizontal axis at the bottom of the graph. Then we want to see where the graphed line crosses that vertical line. The point of crossing has horizontal line that goes over to 8 on the vertical distance axis. That is, Simon runs 8 miles in 1 hour.
__
Eric's unit rate (miles in 1 hour) is 6 miles per hour.
Simon's unit rate (miles in 1 hour) is 8 miles per hour.
Simon's unit rate is 2 more miles per hour than Eric's unit rate.
The 2nd one has the following inequality’s that has a solidity on x>-3
Answer:
y = root under 24 (evaluate it if necessary)
or y = 2 root 6
Step-by-step explanation:
Let the reference angle be x
for the triangle in left,
b = 6-4 = 2
Now,
taking x as refrence angle,
cosx = b/h
or, cosx = 2/h
again,
for the bigger triangle,
taking x as reference angle,
cosx = b/h
or, cosx = b/6
As we can see base of bigger triangle is equal to hypotenuse of triangle at the left,
Let's suppose its a
so, cosx = a/6 = 2/a
now,
a/6 = 2/a
or, a² = 12
now,
for bigger triangle, using pythagoras theorem,
h² = p²+b²
or, 6² = y² + a²
or, 36 = y² + 12
or, y² = 24
so, y = root under 24
