Estimate the Error in the Quadratic Approximation of the Given $f ( x , y ) = \sin 5 x \sin 2 y , | x | \leq 0.1 , | y | \leq 0.1$

question 409

Multiple Choice

Estimate the error in the quadratic approximation of the given function at the origin over the given region.
- $f ( x , y ) = \sin 5 x \sin 2 y , | x | \leq 0.1 , | y | \leq 0.1$

• A) \(| \mathrm { E } ( \mathrm { x } , \mathrm { y } ) | \leq 0.25\)
• B) \(| E ( x , y ) | \leq 0.1667\)
• C) \(| \mathrm { E } ( \mathrm { x } , \mathrm { y } ) | \leq 0.125\)
• D) \(| \mathrm { E } ( \mathrm { x } , \mathrm { y } ) | \leq 0.5\)

Explore the concept of rights and duties within the framework of social and political philosophy.

Examine the philosophical foundations of equality and its manifestations in society.

Identify the impact of philosophical thought on societal structures and individual freedoms.

Appreciate the diversity of philosophical perspectives on the nature of a good society and the good life.

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