Use the Gradient to Find a Normal Vector to the Graph

question 4

Multiple Choice

Use the gradient to find a normal vector to the graph of the equation at the given point. $$2 x ^ { 2 } - y = 8 , \quad ( 6,64 )$$

• A) \(24 \hat { \mathbf { i } } + \hat { \mathbf { j } }\)
• B) \(24 \hat { \mathbf { i } } - \hat { \mathbf { j } }\)
• C) \(- 24 \hat { \mathbf { i } } - 64 \hat { \mathbf { j } }\)
• D) \(- 24 \hat { \mathbf { i } } - \hat { \mathbf { j } }\)
• E) \(24 \hat { \mathbf { i } } + 64 \hat { \mathbf { j } }\)

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Definitions:

Peer Group

A set of companies or individuals that share similar characteristics or interests, often used as a benchmark for performance comparison.

Return on Assets

is a financial ratio that measures how profitably a company can utilize its assets to generate earnings.

EBIT

Earnings Before Interest and Taxes; a measure of a firm's profitability that excludes interest and income tax expenses.

Net Income

The total earnings of a company after deducting all expenses from its total revenue, often referred to as the bottom line.