For
to be conservative, we need to have



Integrate the first PDE with respect to
:

Differentiate with respect to
:

Now differentiate
with respect to
:

So we have

so
is indeed conservative.
Answer:
The answer is 2/10 and 2/10
(A)
Answer: 64
Step-by-step explanation:
By definition, a perfect square is the square of a whole number.
The information given in the problem that you must keep on mind is:
- The number has two digits.
- The number is a perfect square ( Is obtained by squaring a whole number).
- The sum of its two digits is 10.
The number 64 is formed by the digit 6 and the digit 4. The sum of both digits is:

The number 64 can be written as:

Then, it is perfect square.
For this case we have that by definition, if we draw the diagonal of a square two rectangular triangles are formed. If the diagonal measures "x", then the Pythagorean theorem is fulfilled:

Where:
l: It's the side of the square.

We know that the area of a square is given by:

So, the area is:

Answer:

95 is an odd number.
88 is an even number.
81 is an odd number.
74 is an even number.
67 is an odd number.
(: