Determine Whether F Is Conservative $\mathbf { F } = \nabla f$

question 107

Multiple Choice

Determine whether F is conservative. If so, find a function f such that $\mathbf { F } = \nabla f$ . $\mathbf { F } ( x , y ) = \left( 4 x ^ { 3 } + 2 y \right) \mathbf { i } + \left( 3 x - 4 y ^ { 3 } \right) \mathbf { j }$

• A) \(f ( x , y ) = x ^ { 4 } + 2 y ^ { 2 } + 3 x ^ { 2 } - y ^ { 4 } + C\)
• B) not conservative
• C) \(f ( x , y ) = x ^ { 4 } + y ^ { 4 } + C\)
• D) \(f ( x , y ) = 4 x ^ { 3 } + 2 y + 3 x - 4 y ^ { 3 } + C\)

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A company that purchases or merges with another company, typically to expand its operations or enter into new markets.

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The acquisition of one company, called the target company, by another, referred to as the acquiring company, which effectively allows the acquiring company to make decisions for the target company.

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