NPTEL Data Science for Engineers Week 4 Assignment Answers 2024

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NPTEL Data Science for Engineers Week 4 Assignment Answers 2024

1. Let f(x)=x3+3x2−24x+7. Select the correct options from the following:

  • x=2 will give the maximum for f(x).
  • x=2 will give the minimum for f(x).
  • Maximum value of f(x) is 87.
  • The stationary points for f(x)are 2and 4.
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2.

NPTEL Data Science for Engineers Week 4 Assignment Answers 2024
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3.

NPTEL Data Science for Engineers Week 4 Assignment Answers 2024
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4. Let f(x,y)=−3x2−6xy−6y2 . The point (0,0) is a

  • saddle point
  • maxima
  • minima
Answer :- 

5.

NPTEL Data Science for Engineers Week 4 Assignment Answers 2024
Answer :- 

6. Consider f(x)=x3−12x−5. Which among the following statements are true?

  • f(x)is increasing in the interval (−2,2).
  • f(x)is increasing in the interval(2,∞).
  • f(x) is decreasing in the interval (−∞,−2).
  • f(x) is decreasing in the interval (−2,2).
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7.

NPTEL Data Science for Engineers Week 4 Assignment Answers 2024
Answer :- 

8. In optimization problem, the function that we want to optimize is called

  • Decision function
  • Constraints function
  • Optimal function
  • Objective function
Answer :- 

9. The optimization problem minx f(x) can also be written as maxx f(x).

  • True
  • False
Answer :- 

10. Gradient descent algorithm converges to the local minimum.

  • True
  • False
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