Find the Linearization L(x) of F(x) at X = A $f ( x ) = 2 x ^ { 2 } - 2 x + 1 , a = 1$

question 349

Multiple Choice

Find the linearization L(x) of f(x) at x = a.
- $f ( x ) = 2 x ^ { 2 } - 2 x + 1 , a = 1$

• A) \(L ( x ) = 2 x + 3\)
• B) \(L ( x ) = 6 x + 3\)
• C) \(\mathrm { L } ( \mathrm { x } ) = 6 \mathrm { x } - 1\)
• D) \(\mathrm { L } ( \mathrm { x } ) = 2 \mathrm { x } - 1\)

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Definitions:

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River Water

Water found in rivers, which is often a source of freshwater for communities, agriculture, and ecosystems.

Potassium

A chemical element with symbol K, essential for the functioning of all living cells, and a major component in plant nutrition.

Magnesium

A chemical element with the symbol Mg, known for its lightweight and structural applications and vital roles in biological systems.