# NPTEL Data Science For Engineers Week 4 Assignment Answers 2024

## 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.

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

3. Find the value of x

• −4.48
• 0.66
• −1.43
• 4.45

4.

5.

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

7.

8. The stationary point obtained in the previous question is

• maxima
• minima

9.

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

• Decision function
• Constraints function
• Optimal function
• Objective function

11. The optimization problem minxf(x) can also be written as maxxf(X)

• True
• False