What is the best approximation of the solution to the equations that these two lines represent?
2 answers:
Answer: 1) (3,1.5)
2) (1,1.5)
Step-by-step explanation:
We know that the solution of system of two linear equation is the point on graph where the lines of the equations intersect.
- From the first picture, we can see that the x-coordinate of the intersection lies between 2 and 4 and the y-coordinate lies between 1 and 2.
The approximate value for x- coordinate = Mid point between 2 and 4
=3
The approximate value for y- coordinate = Mid point between 1 and 2
=
⇒ The best approximation of the solution to the equations =(3,1.5)
- From the second picture, we can see that the x-coordinate of the intersection is 1 and the y-coordinate lies between 1 and 2.
The approximate value for y- coordinate = Mid point between 1 and 2
=1.5
⇒ The best approximation of the solution to the equations =(1,1.5)
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Answer with Step-by-step explanation:
The given differential equation is
Now the above differential equation can be re-written as
Checking for exactness we should have
As we see that the 2 values are equal thus we conclude that the given differential equation is exact
The solution of exact differential equation is given by
The value of can be obtained by differentiating u(x,y) partially with respect to 'y' and equating the result with P(x,y)