Given $f ( x ) = x ^ { 3 } + 2 x - 4$

question 171

Multiple Choice

Given $f ( x ) = x ^ { 3 } + 2 x - 4$ , use Newton's method to find the iterative formula for $x _ { n + 1 }$ .

• A) \(x _ { n + 1 } = - \frac { x _ { n } ^ { 3 } + 2 x _ { n } } { 3 x _ { n } ^ { 2 } + 2 }\)
• B) \(x _ { n + 1 } = x _ { n } - \frac { x _ { n } ^ { 3 } + 2 x _ { n } } { 3 x _ { n } ^ { 2 } + 2 }\)
• C) \(x _ { n + 1 } = x _ { n } - \frac { x _ { n } ^ { 3 } + 2 x _ { n } - 4 } { 3 x _ { n } ^ { 2 } + 2 }\)
• D) \(x _ { n + 1 } = x _ { n } + \frac { 3 } { x _ { n } }\)
• E) \(x _ { n + 1 } = \frac { x _ { n } ^ { 3 } + 2 x _ { n } } { 3 x _ { n } ^ { 2 } + 2 }\)
• F) \(x _ { n + 1 } = x _ { n } + \frac { x _ { n } ^ { 3 } + 2 x _ { n } } { 3 x _ { n } ^ { 2 } + 2 }\)
• G) \(x _ { n + 1 } = x _ { n } + \frac { x _ { n } ^ { 3 } + 2 x _ { n } - 4 } { 3 x _ { n } ^ { 2 } + 2 }\)
• H)None of these

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The amount remaining from sales revenue after variable costs are deducted, contributing to covering fixed costs and generating profit.

Contribution Margin

The amount remaining from sales revenue after all variable expenses have been deducted, indicating how much revenue is contributing to fixed costs and profits.

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Costs that are not directly traceable to a specific cost object, such as overhead costs for running the business.

Contribution Margin

The amount by which a product's sales revenue exceeds its variable costs, indicating how much it contributes to covering fixed costs and generating profit.