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Sunny_sXe [5.5K]
4 years ago
6

A quadrilateral with only one pair of parallel sides is called a

Mathematics
1 answer:
shusha [124]4 years ago
8 0
Its called a Rhombus
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For each of the following vector fields F , decide whether it is conservative or not by computing the appropriate first order pa
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Answer:

(a)

Conservative

(b)

Not conservative

(c)

Conservative.

Step-by-step explanation:

(a)

\mathbf{F}(x,y) = (-10x+7y,7x+6y)

Notice that

\frac{\partial\mathbf{F}_y}{\partial x} = 7

and

\frac{\partial\mathbf{F}_x}{\partial y} = 7

Therefore the field is conservative.

(b)

Notice that

\mathbf{F}(x,y) = (-5y,-4x)

and

\frac{\partial\mathbf{F}_y}{\partial x} = -4

but

\frac{\partial\mathbf{F}_x}{\partial y} = -5

Therefore is not conservative.

(c)

Notice that

To prove that the vector field is conservative you have to compute the curl of the vector field and you would get that.

\mathbf{F}(x,y,z) = (-5x,-4y,1)

\nabla \times \mathbf{F} =  (0,0,0)

Therefore your vector field is conservative.

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4 years ago
Solve the system <br> x-y+z=-2<br> 4x-y+2z=-3<br> 2x-3y+2z=-7
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X = -9
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I need help please!!!
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Answer:

answer is line m........

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