Data Science for Engineers || NPTEL week 4 answers 2023 #nptel #datascience #skumaredu #2023

 

Data Science for Engineers || NPTEL week 4 answers 2023 #nptel #datascience #skumaredu #2023

S Kumar Edu

Hello friends, welcome back to this channel. I hope everyone is doing well. Let's get started with the video. This is the Week 4 assignment of the Data Science for Engineers course. Please watch the video till the end to avoid missing any important content or answers that I might provide in between.

I have worked hard to provide you with the most accurate answers. If you have any suggestions or if you are confident about a different answer, please comment in the comment section along with supporting evidence. This will help us provide the best answers to our subscribers.

Question 1:

Given f(x) = x^3 + 6x^2 - 3x - 5, what are the correct options?

• Option A: -2 - √5

• Option B: -2 + √5

• Option C: -2

• Option D: 2 + √5

Question 2 and 3:

Both questions are based on the function f(x) = x^4 + 7x^3 + 5x^2 - 17x + 3.

Question 2: What is the second-order sufficient condition for x* to be the maximizer?

• Option A: 12x^2 + 42x + 10 > 0

• Option B: 12x^2 - 42x + 10 > 0

• Option C: 12x^2 + 42x + 10 < 0

• Option D: 12x^2 - 42x + 10 < 0

Question 3: Find the value of x*.

• Option A: 1.43

• Option B: -1.43

• Option C: -0.2

• Option D: 0.2

Question 4:

Given f(x) = sin(x) for x in the range [0, 2π]. Which of the following options are correct?

• Option A: π/2 is the global maximum

• Option B: π/2 is the global minimum

• Option C: 3π/2 is the global maximum

• Option D: 3π/2 is the global minimum

Question 5 to 8:

These questions are based on the function f(x) defined earlier.

Question 5: Find the gradient for f(x).

• Option A: 4x + 4

• Option B: 3x^2 + 4x + 3

• Option C: 662x + 3

• Option D: 6x + 3

Question 6: Find the stationary point for f(x).

• Option A: (0.2, -0.6)

• Option B: (0.6, -0.2)

• Option C: (0.2, -0.6)

• Option D: (-0.2, 0.6)

Question 7: Define the Hessian matrix for f(x).

• Option A: 3x^2 + 4x + 3

• Option B: 4x + 4

• Option C: 4, 3

• Option D: 3, 6

Question 8: The stationary point obtained in question 6 is a:

• Option A: Maximum

• Option B: Minimum

• Option C: Saddle point

• Option D: Inflection point

Question 9:

Given f(x1, x2) = [equation], select the correct options from the following:

• Option A

•