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Machine Learning Foundations, Quiz 1

May 2026 term, 19 Jul 2026, Set 1

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Question 1

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What is the best linear approximation of around

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What is the best linear approximation of around A company manufactures a special rectangular metal sheet. The production cost (in hundreds of rupees) depends on its length meters and width meters according to . At a particular stage, the dimensions of the sheet are . The company plans to change the dimensions in the direction represented by the vector and wants to determine how rapidly the production cost changes in that specific direction. Find the directional derivative of at the point in the direction of . A company manufactures a special rectangular metal sheet. The production cost (in hundreds of rupees) depends on its len Find the projection matrix that projects the plane onto the line .