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1 answer:
Answer:
See below
Step-by-step explanation:
I'll provide an example to help you. Let's say we were solving and we wanted to factor the quadratic on the left side. We can't do that because the factors of -7 don't add up to 5. So we'd have to use the quadratic formula. The quadratic formula is essentially the last resort that will solve all quadratic equations, so it could be seen as a preferred method. But, unless you can factor the quadratic, it's much easier to solve.
Now let's do another one. for example can be written as
and we can easily get
and
as solutions since plugging them into the factors would produce 0 (from the Zero Product Property). If we used the quadratic formula, it would take more time to plug in the variables and solve when we can just simply factor.
Hopefully, this explanation helps you to think of your discussion post!
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Hello!
The problem has asked that we write a point-slope equation of the line in the image above. Point-Slope Form uses the following formula:
y –
= m(x – 
)
In this case, M represents the slope while
and 
represent the corresponding X and Y values of any given point on the line.
We are given that the slope of the line is -
. We also know that any given point on a graph takes the form (x,y). Based on the single point provided in the image above, we can determine that 
is equal to 6 and 
is equal to 2. Now insert all known values into the point-slope formula above:
y – 2 = -(x – 6)
We have now successfully created an equation based on the information given in the problem above. Looking at the four possible options, we can now come to the conclusion that the answer is C.
I hope this helps!
The problem has asked that we write a point-slope equation of the line in the image above. Point-Slope Form uses the following formula:
y –
In this case, M represents the slope while
We are given that the slope of the line is -
y – 2 = -
We have now successfully created an equation based on the information given in the problem above. Looking at the four possible options, we can now come to the conclusion that the answer is C.
I hope this helps!
Answer:
The circulation of the field f(x) over curve C is Zero
Step-by-step explanation:
The function and curve C is ellipse of equation
Theory: Stokes Theorem is given by:
Where, Curl f(x) =
Also, f(x) = (F1,F2,F3)
Using Stokes Theorem,
Surface is given by g(x) =
Therefore, tex]\hat{N} = grad(g(x))[/tex]
Now,
Curl f(x) =
Curl f(x) =
Curl f(x) = (0,0,4)
Putting all values in Stokes Theorem,
I=0
Thus, The circulation of the field f(x) over curve C is Zero