Use Taylor's Formula to Find the Requested Approximation of F(x $10 x + y - 50 x ^ { 2 } - 5 x y - \frac { 1 } { 2 } y ^ { 2 }$

question 213

Multiple Choice

Use Taylor's formula to find the requested approximation of f(x, y) near the origin.
-Quadratic approximation to f(x, y) = ln(1 + 10x + y)

• A) \(10 x + y - 50 x ^ { 2 } - 5 x y - \frac { 1 } { 2 } y ^ { 2 }\)
• B) \(1 + 10 x + y - 50 x ^ { 2 } - 5 x y - \frac { 1 } { 2 } y ^ { 2 }\)
• C) \(1 + 10 x + y - 50 x ^ { 2 } - 10 x y - \frac { 1 } { 2 } y ^ { 2 }\)
• D) \(10 x + y - 50 x ^ { 2 } - 10 x y - \frac { 1 } { 2 } y ^ { 2 }\)

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Definitions:

Basketball Player

An athlete who participates in the sport of basketball, playing on a team and competing in games and tournaments.

Symmetric

Referring to a shape or function that is mirrored equally on both sides of a central axis.

Skewed

A description of data that are not symmetrically distributed, often showing a longer tail on one side of the distribution's peak.

Negatively Skewed

A distribution where the tail is longer on the left side of the distribution, indicating that the majority of data points are located on the right.