Answer:
0
Step-by-step explanation:
To find the coordinate of the midpoint of segment QB, first, find the distance from Q to B.
QB = |4 - 8| = |-4| = 4
The coordinate of the midpoint of QB would be at ½ the distance of QB (½*4 = 2).
Therefore, coordinate of the midpoint of QB = the coordinate of Q + 2 = 4 + 2 = 6
OR
Coordinate of B - 2 = 8 - 2 = 6
Coordinate of the midpoint of QB = 6
Coordinate of W = -8
Coordinate of A = 0
distance from W to A (WA) = |-8 - 0| = |-8| = 8
The coordinate of the midpoint of WA would be at ½ the distance of WA = ½*8 = 4.
Therefore, coordinate of the midpoint of WA = the coordinate of W + 4 = -8 + 4 = -4
Or
Coordinate of A - 4 = 0 - 4 = -4
Coordinate of the midpoint of WA = -4
Now, let's find the midpoint between the two new coordinates we have found, which are -4 and 4
Distance of the segment formed by coordinate -4 and 4 = |-4 - 4| = |-8| = 8
Midpoint = ½*8 = 4
Coordinate of the midpoint = -4 + 4 = 0
Or
4 - 4 = 0
So first you take the words and put them into an equation. "a number" that never gets directly told to you will always be a variable, which is easiest to make X. "The sum of a number and 8" will mean that 8+something is the sum so they have to go in parenthesis... giving you
4/3*(x+8)=24
now just solve for X, remembering to use the reverse of PEMDAS, since you're solving for the variable.
remove what is furthest away to the X first.
x+8=24*3/4
x+8=18
x=18-8
x=10
Now, remember to always go through and replace your variable with its value and solve. if it is not equal on both sides, retry the problem because you may have missed a small +, -, or * somewhere!
Hope this helped:)
I believe you may have the order incorrect. If we were looking at g(f(x)) the answer would be 47. We would get this by sticking the 3 in for x in f(x) and solving, which would give us 48. We would then stick that answer in for x in the g(x), giving us 47.
In its current order the answer would be 28.
The vector field

has curl

Parameterize
by

where

with
and
.
Take the normal vector to
to be

Then by Stokes' theorem we have



which has a value of 0, since each component integral is 0:



