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:

Deoxyhemoglobin

A type of hemoglobin that is not carrying oxygen. It is darker red in color than hemoglobin.

Carbon Dioxide

Carbon dioxide is a colorless, odorless gas produced by burning carbon and organic compounds and by respiration. It is naturally present in air and is absorbed by plants in photosynthesis.

Bacterial Infection

An invasion of the body by harmful bacteria which can lead to disease and is typically treated with antibiotics.

White Blood Cell Count

White blood cell count is a blood test measure that indicates the number of white blood cells in a volume of blood, crucial for diagnosing and monitoring infections.