Answer:
Step-by-step explanation:
x=o . so the line is parallel to x-axis.
So the line parallel to the line : x = 0
As the perpendicular line will be parallel to y-axis. so the slope of the line parallel to y-axis is undefined.
Answer:
It is "A" or in other words the one that says (x-5)2+3 because when you graph it you can see it is the only one touching that point!
Step-by-step explanation:
The value of the integral 3ydx+2xdy using Green's theorem be - xy
The value of
be -xy
<h3>What is Green's theorem?</h3>
Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D bounded by C.
If M and N are functions of (x, y) defined on an open region containing D and having continuous partial derivatives there, then
= 
Using green's theorem, we have
=
............................... (1)
Here
= differentiation of function N w.r.t. x
= differentiation of function M w.r.t. y
Given function is: 3ydx + 2xdy
On comparing with equation (1), we get
M = 3y, N = 2x
Now,
= 
= 
= 2
and,
= 
= 
= 3
Now using Green's theorem
= 
= 
= 
=
The value of
be -xy.
Learn more about Green's theorem here:
brainly.com/question/14125421
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Answer:
Number of sent mail = 36
Number of received mail = 75
Step-by-step explanation:
Let,
x be the number of mails sent
y be the number of mails received
According to given statement;
x + y = 111 Eqn 1
y = 2x + 3 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
x + 2x + 3 = 111
3x = 111 - 3
3x = 108
Dividing both sides by 3

Putting x = 36 in Eqn 2
y = 2(36) + 3
y = 72 + 3 = 75
Hence,
Number of sent mail = 36
Number of received mail = 75