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Let f: R² → R be defined as V(x₁, x₂) R² f(x₁, x2) = x₁₂ - 2x₁x² + x₁ - x₁ . a. Find the gradient of f at any (x₁, x2) € R. b. Using Matlab or Octave plot the gradients and iso-curves of f over [-5,4] × [-3,3]. You should submit a printout of the plot and the code that you used to obtain the plot.

Let f: R² → R be defined as V(x₁, x₂) R² f(x₁, x2) = x₁₂ - 2x₁x² + x₁ - x₁ . a. Find the gradient of f at any (x₁, x2) € R. b. Using Matlab or Octave plot the gradients and iso-curves of f over [-5,4] × [-3,3]. You should submit a printout of the plot and the code that you used to obtain the plot.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Let f: R²R be defined as V(x₁, x₂) R² f(x₁, x₂) = x₂ - 2x₁x² + x²-x₁. a. Find the gradient of f at any (x₁, x2) € R. b. Using Matlab or Octave plot the gradients and iso-curves of f over [-5,4] x [-3,3]. You should submit a printout of the plot and the code that you used to obtain the plot.
Transcribed Image Text:Let f: R²R be defined as V(x₁, x₂) R² f(x₁, x₂) = x₂ - 2x₁x² + x²-x₁. a. Find the gradient of f at any (x₁, x2) € R. b. Using Matlab or Octave plot the gradients and iso-curves of f over [-5,4] x [-3,3]. You should submit a printout of the plot and the code that you used to obtain the plot.
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