Answer with Step-by-step explanation:
The given differential equation is

Now the above differential equation can be re-written as

Checking for exactness we should have



As we see that the 2 values are equal thus we conclude that the given differential equation is exact
The solution of exact differential equation is given by

The value of
can be obtained by differentiating u(x,y) partially with respect to 'y' and equating the result with P(x,y)

Answer:
13
Step-by-step explanation:
to round to nearest whole number if its .5 or above you go up 1. If it's .4 or below you go down 1.
2.414=2
8.160=8
2.621=3
add
2+8+3=13
if you just added the decimals you would get: 13.195. (This shows you have a good estimate.)
Answer:
£29.6
Step-by-step explanation:
37/5=7.4
37-7.4=29.6
Answer:
1. -7.5
2. $1
3. 40
Step-by-step explanation:
For number 1, it can be solved by using the PEMDAS method, or see explanation below:
6x - 4x - 36 = 6 - 2x
2x - 36= -2x + 6
4x + 36 = 6
4x = -30
x = -15/2 or -7.5
For number 2, substitute 3 into both equations:
f(x) =1.50(3) + 2.00
and
f(x) = 2.00(3) + 1.50
This would get $6.50 and $7.50, which, if subtracted, gets $1.
For number 3, do something similar to the previous problem. Substitute 3 for x. It would be 5(2^3), or 40.
Hope this helps!