Answer:
the total amount of water supplier per hour to the region within a circle of radius R=110 ( that is from distance r, 0<r<110)
![W(R) = 2\pi [1-(R+1)e^{-R}]](https://tex.z-dn.net/?f=W%28R%29%20%3D%202%5Cpi%20%5B1-%28R%2B1%29e%5E%7B-R%7D%5D)
Step-by-step explanation:
if f(r) describes the water supplied at a distance r , the total amount supplied inside a region that goes from 0 until the circle of radius R, is the sum of all f(r) values from 0 until R, that is the integral value over these limits.
The formula deduction can be found in the attached picture
There is an "r" that multiplies e^-r as result of changing from rectangular coordinates to polar ones.(dx*dy --> r*dr*da)
Answer: The equation that goes through the points (2, -1) and (-6, -5) is 1/2x - 2
I know this because when I graphed this equation, it passed through those points. (My graph is shown below)
Rearranging y = 8x -4y = 12 in the y = mx + b form gives y = 2x - 3
y = 2x - 3
y = mx - 6 (already in y = mx + b form)
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Parallel lines have the same slope.
m = 2
Note that the two lines have the different y-intercepts and are not the same line.
The difference from distance and displacement is <u>the direction</u>
<h3>Further explanation</h3>
Distance is a scalar quantity that indicates the length of the trajectory that is traveled by an object within a certain interval. Distance has no direction, only has magnitude
Can be simplified distance = total meters traveled
displacement is a vector quantity that shows changes in the position of objects in a certain interval of time. Displacement has magnitude and direction
Can be simplified displacement = distanced traveled from starting point to ending point
Some examples of distanced and displacement
1. first move: move 4 meters north
second move: move 2 meters south
Distanced: 6 meters
Displacement: 2 meters north
2. first move: move 2 meters east
second move: move 4 meters west
Distanced: 6 meters
Displacement: 2 meters west
etc
<h3>Learn more</h3>
uniformly accelerated motion
brainly.com/question/13750982
Keywords: distance and displacement lab activity
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