If $f ( x , y ) = x ^ { 2 } + 7 y ^ { 2 }$

question 62

Multiple Choice

If $f ( x , y ) = x ^ { 2 } + 7 y ^ { 2 }$ use the gradient vector $\nabla f ( 10,2 )$ to find the tangent line to the level curve $f ( x , y ) = 136$ at the point $( 10,2 )$ .

• A) \(10 x + 14 y = 12\)
• B) \(10 x + 14 y = 136\)
• C) \(100 x - 49 y = 12\)
• D) \(100 x + 49 y = 136\)
• E) \(100 x - 14 y = 12\)

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Definitions:

Sample Size

The number of observations or datapoints selected from a population to be included in a sample.

Significant Difference

A result in data indicating that the observed effect or difference is unlikely to have occurred due to chance or random variation.

Supermarket Chains

Large retail organizations operating multiple grocery stores under the same brand or ownership, offering a wide variety of food and household products.

Student T-Distribution

A probability distribution that arises in the estimation of means of a normally distributed population in situations where the sample size is small and the population standard deviation is unknown.