Answer:

Step-by-step explanation:
We are given that DE

We have to determine given DE is exact or not.
Compare it with Mdx+Ndy=0





Therefore, 
If DE is exact then 
Hence,it is exact.

Integrate w.r.t x on both sides

...(1)
By using the formula

Differentiate partially equation (1) w.r.t y

By using the formula:




Integrate w.r.t y

Substitute the value

Because some of the work input is turned into waste byproducts like heat. A simple machine has friction to overcome, and by doing that heat is created
Answer:
c 0.5⁻ˣ
Step-by-step explanation:
The slowest rate is:
0.5⁻ˣ
Step-by-step explanation:
- The sum of the interior angles in a regular polygon is given by the formula 180(n – 2), where n is the number of sides in the polygon. An octagon has eight sides, so the sum of the angles of the octagon is 180(8 – 2) = 180(6) = 1080 degrees. Because the octagon is regular, all of its sides and angles are congruent.