We want to find a scalar function
such that
.
So we need to have
Integrating both sides with respect to
gives
Differentiating with respect to
gives
So we find that
By the fundamental theorem of calculus, we then know the line integral depends only on the values of
at the endpoints of the path. Therefore
Answer:
56 ft
Step-by-step explanation:
Perimeter is the distance around the shape
18 x 2 + 10 x 2 =
36 + 20 =
56 ft
Im not sure what you are asking, but for a probability tree, you have the total # of something at the very top of the tree, next it branches out into groups, and those groups represent something like colored marbles or something... and to find percent you divide the total number like the number of marbles bye 100 and multiply that number bye the thing that you're trying to get job percent like a color of marbles, I hope this helped...
(-4)^-3 = 
-4^-3 = 
Basically in this situation there is no difference whether parenthesis are used or not.
Answer:
6 1/4
Step-by-step explanation:
When you look at the bar graph at the top, you will see that there are 5 of 1 1/4.
If you multiply 5 by 5/4 (which is 1 1/4 converted to an improper fraction), you get 25/4. To convert that to a mixed number, divide 25 by 4 and put the remainder over 4. The final answer should be 6 1/4.
For the X's, just count how many of each number is in the graph above. For example, there should be 2 X's over 1, 5 X's over 1 1/4, 2 X's over 1 1/2, and 2 X's over 1 3/4.
