Question 1
What is the best linear approximation of around
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 .
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Find the projection matrix that projects the plane onto the line .




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The IIT Madras BS Machine Learning Foundations (MLF) Quiz 1 paper sat on 19 Jul 2026, in the May 2026 term: 14 questions for 41 marks in 120 minutes. The first 3 questions are below. Sign in with Google — it is free — to see the whole paper with its answers and explanations, in learning mode or as a timed mock test.
| Feature | MLF Quiz 1 19 Jul 2026 at a glance |
|---|---|
| Term | May 2026 term |
| Subject | Machine Learning Foundations |
| Course code | BSCS2004 |
| Questions | 14 |
| Marks | 41 |
| Duration | 120 min |
| MCQ | 5 |
| MSQ | 4 |
| Written | 5 |
| Official paper | Machine Learning Foundations 16 Jul 26 |
| Negative marking | No negative marking. |
| Updated |