Answer:
1 7/33
Step-by-step explanation:
6/11 + 2/3 --> We need a common denominator
--> 11 x 3 = 33
33 is our common denominator
6 x 3 = 18
2 x 11 = 22
18/33 + 22/33 = 40/33
Convert to a mixed number
=> 1 7/33
Thus, we have our answer.
Here you go . 146 is the answer with the work shown.
Answer:
She spent 5 hours mowing lawns.
Step-by-step explanation:
To solve, we will just use some algebra
8h + 20 = 60 | Subtract 20 from both sides
8h = 40 | Divide both sides by 8
h = 5
We can confirm this by plugging it back into the original formula.
8(5) + 20 = 60
40 + 20 = 60
60 = 60
Answer:
decreasing increasing decreasing function

is conservative if there is a scalar function
such that
. This would require



(or perhaps the last partial derivative should be 4 to match up with the integral?)
From these equations we find





so
is indeed conservative, and the gradient theorem (a.k.a. fundamental theorem of calculus for line integrals) applies. The value of the line integral depends only the endpoints:

