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Karolina [17]
4 years ago
7

Determine whether the vector field is conservative. f(x, y) = yi + xj

Mathematics
1 answer:
liubo4ka [24]4 years ago
3 0
<span>If F is a conservative vector fields, then the function f, is called a potential function for F. Example the vector field F(x, y) = y i+x j is a conservative vector field with a potential function of f(x, y) = xy because â‡f =<y,x></span>
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Answer:

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Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=%5Csqrt%7B-16%7D%20-%5Csqrt%7B-3%7D%20%5Csqrt%7B-3%7D%20-%5Csqrt%7B-4%7D%20%5Csqrt%7B-4%7D%20%
sergeinik [125]

Answer:

<h2>4(i-1)</h2>

Step-by-step explanation:

Given the expression   \sqrt{-16} - \sqrt{-3} \sqrt{-3} -\sqrt{-4} \sqrt{-4}+3i-3i^{2} +3i^{3}

On simplifying;

First we need to note that i² = -1 and √-1 = i

Substituting the values in the expression, it becomes;

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= 4i-3-4+3

= 4i-4

= 4(i-1)

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4 years ago
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