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:
- −2+√5 will give the maximum for f(x).
- −2+√5 will give the minimum for f(x).
- The stationary points for f(x) are −2+√5 and −2−√5.
- The stationary points for f(x) are −4 and 0.
Answer :- c
2. What is the second order sufficient condition for x∗ to be the maximizer of the function f(x) ?
- 4x3+21x2+10x−17=0
- 12x2+42x+10=0
- 12x2+42x+10>0
- 12x2+42x+10<0
Answer :- d
3. Find the value of x∗
- −4.48
- 0.66
- −1.43
- 4.45
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4.
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5.
Answer :-
6. Find the stationary point for f(x1, x2)
- 0.6, 0.4
- −0.6, −0.4
- 0.2, −0.6
- 0.2, 0.6
Answer :-
7.
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8. The stationary point obtained in the previous question is
- maxima
- minima
- saddle point
Answer :-
9.
Answer :-
10. In optimization problem, the function that we want to optimize is called
- Decision function
- Constraints function
- Optimal function
- Objective function
Answer :-
11. The optimization problem minxf(x) can also be written as maxxf(X)
- True
- False
Answer :-
12. In the gradient descent algorithm, the step size should always be same for each iteration.
- True
- False
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