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zepelin [54]
3 years ago
13

Just give the answers please not the working out

Mathematics
1 answer:
MissTica3 years ago
5 0
I believe the answers would be: 
A) x=-4 or x=6
B) No real solutions 
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Determine whether or not f is a conservative vector field. if it is, find a function f such that f = ∇f. (if the vector field is
gladu [14]

\mathbf f is conservative if we can find a scalar function f such that \nabla f=\mathbf f. This is equivalent to solving the system of PDEs,

\dfrac{\partial f}{\partial x}=2x-6y

\dfrac{\partial f}{\partial y}=-6x+10y-9

Integrate both sides of the first PDF with respect to x:

f(x,y)=x^2-6xy+g(y)

where g is some function independent of x. Then differentiatng with respect to y, we have

\dfrac{\partial f}{\partial y}=-6x+\dfrac{\mathrm dg}{\mathrm dy}=-6x+10y-9

\implies\dfrac{\mathrm dg}{\mathrm dy}=10y-9\implies g(y)=5y^2-9y+C

and so \mathbf f is indeed conservative, with

f(x,y)=x^2-6xy+5y^2-9y+C

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3 years ago
(27 points for whoever answers this ) Write an expression to represent the sum modeled in the following number line.
FinnZ [79.3K]
-3\dfrac13+\dfrac63=\dfrac{-10+6}3=-\dfrac43
4 0
3 years ago
How do you Graph the function f(x) = -3(2)x on the axes
GaryK [48]
........ ....... idk
6 0
3 years ago
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mylen [45]
I am pretty sure that the answer is 4/5, hope this helped :)

6 0
3 years ago
Which of these tables represents a function??
Bumek [7]

Answer:

The first table

Step-by-step explanation:

You have to make sure that x is unique throughout.

First Table: the inputs are 2, 4, 6, 7

each input value is different or unique

Second Table: input values are 3, 5, 3, 5

three and five repeat themselves, so there is not a function

Third Table: input values are -2, 0, 1, -2

negative 2 repeats itself so it is not unique

6 0
2 years ago
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