**NPTEL Data Science for Engineers Assignment 4 Answers 2023:-** All the Answers provided below to help the students as a reference, You must submit your assignment at your own knowledge.

## NPTEL Data Science For Engineers Week 4 Assignment Answers 2023

**1. Let f(x)=x3+3×2−24x+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 2 and 4.

Answer :-For AnswerClick Here

2. Find the gradient of f(x,y)=x2y at (x,y)=(1,3) .

∇f=[16]

∇f=[61]

∇f=[69]

∇f=[33]

Answer :-For AnswerClick Here

**3. Find the Hessian matrix for f(x,y)=x2y at (x,y)=(1,3).**

∇2f=[3220]

∇2f=[3330]

∇2f=[6220]

∇2f=[6330]

Answer :-For AnswerClick Here

**4. Let f(x,y)=−3×2−6xy−6y2. The point (0,0)is a**

saddle point

maxima

minima

Answer :-For AnswerClick Here

**6. For which numbers b is the matrix A=[1bb9] positive definite?**

−3<b<3

b=3

b=−3

−3≤b≤3

Answer :-For AnswerClick Here

**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).

Answer :-For AnswerClick Here

**7. Consider the following optimization problem:**

4×3+21×2+10x−17=0

12×2+42x+10=0

12×2+42x+10>0

12×2+42x+10<0

Answer :-For AnswerClick Here

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

Decision function

Constraints function

Optimal function

Objective function

Answer :-For AnswerClick Here

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

True

False

Answer :-For AnswerClick Here

**10. Gradient descent algorithm converges to the local minimum.**

True

False

Answer :-For AnswerClick Here

Course Name | Data Science For Engineers |

Category | NPTEL Assignment Answer |

Home | Click Here |

Join Us on Telegram | Click Here |

## What is Data Science for Engineers?

Data Science for Engineers is a fun-filled course where Domain Certification helps learners to gain expertise in a specific Area/Domain. This can be helpful for learners who wish to work in a particular area as part of their job or research or for those appearing for some competitive exam or becoming job-ready or specialising in an area of study. Every domain will comprise Core courses and Elective courses. Once a learner completes the requisite courses per the mentioned criteria, you will receive a Domain Certificate showcasing your scores and the domain of expertise.**CRITERIA TO GET A CERTIFICATE**

Average assignment score = 25% of the average of the best 6 assignments out of the total 8 assignments given in the course.

Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score**YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF THE AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.**

COURSE NAME | ANSWER |

NPTEL Data Science for Engineers Assignment 1 Answers | Click Here |

NPTEL Data Science for Engineers Assignment 2 Answers | Click Here |

NPTEL Data Science for Engineers Assignment 3 Answers | Click Here |

NPTEL Data Science for Engineers Assignment 4 Answers | Click Here |

NPTEL Data Science for Engineers Assignment 5 Answers | Click Here |

NPTEL Data Science for Engineers Assignment 6 Answers | Click Here |

NPTEL Data Science for Engineers Assignment 7 Answers | Click Here |

NPTEL Data Science for Engineers Assignment 8 Answers | Click Here |

## NPTEL Data Science for Engineers Assignment 4 Answers 2022 [July-Dec]

**1. The first order necessary condition for either maxima or minima of f(x) is**

a. 6x

^{3}−3x

^{2}−6x = 0

b. 12x

^{3}−6x

^{2}−6x=0

c. 12x

^{3}−9x

^{2}−6x=0

d. None of these

Answer:-

**2. Which of the following point(s) is/are stationary point(s) of f(x)f(x)?**

a. −1/2

b. 0

c. 1

d. 1/2

Answer:-

**Answers will be Uploaded Shortly and it will be Notified on Telegram, So JOIN NOW**

**3. The stationary point(s) which maximize(s) the value of f(x) is**

a. −1/2

b. 0

c. 1

d. 1/2

Answer:-

**4. The stationary point(s) which minimize(s) the value of f(x)f(x) is**

a. −1/2

b. 0

c. 1

d. 1/2

Answer:-

**5. Find the minima of the function f(x)=(x−5)2−5f(x)=(x−5)2−5 using gradient search method starting from x=−6x=−6, and learning rate α=0.5α=0.5 and choose the correct statement from the options given below**

a. Minimum is f(x)=−5f(x)=−5

b. Minimum is f(x)=−16f(x)=−16

c. x=−11x=−11 yields the minimum of the function

d. x=5x=5 yields the minimum of the function

Answer:-

**6. The gross domestic product (GDP) of a country in billion dollars following a crisis (at t=0) is given by: G(t)=−0.196t3+3.244t2+9.179 for 0≤t≤28. When is the GDP highest in the given time period?**

a. t = 4.903

b. t = 11.034

d. t = 3.269

e. t = 8.295

Answer:-

👇**For Week 05 Assignment Answers**👇

**7. A function is defined as 7×2+70x+12. Find the value of xx at its stationary point.**

a. x=10x

b. x=0.071

c. x=−350

d. x=−5

Answer:-

**For More NPTEL Answers:- CLICK HERE****Join Our Telegram:- CLICK HERE**

COURSE LAYOUT

**Week 1: **Course philosophy and introduction to R

**Week 2: **Linear algebra for data science

- Algebraic view – vectors, matrices, product of matrix & vector, rank, null space, solution of over-determined set of equations and pseudo-inverse)
- Geometric view – vectors, distance, projections, eigenvalue decomposition

**Week 3: **Statistics (descriptive statistics, notion of probability, distributions, mean, variance, covariance, covariance matrix, understanding univariate and multivariate normal distributions, introduction to hypothesis testing, confidence interval for estimates)

**Week 4: **Optimization

**Week 5: **1. Optimization

2. Typology of data science problems and a solution framework

**Week 6: **1. Simple linear regression and verifying assumptions used in linear regression

2. Multivariate linear regression, model assessment, assessing importance of different variables, subset selection

**Week 7: **Classification using logistic regression

**Week 8: **Classification using kNN and k-means clustering

## NPTEL Data Science for Engineers Assignment 4 Answers 2022 [Jan- June]

**Q1.** If *f*(*x*)=2*x*3+3*x*2−12*x*+1, then the first order necessary condition for either maxima or minima of *f*(*x*) is

**Answer:-** **A**

**👇 FOR NEXT WEEK ANSWER: ASSIGNMENT 5 👇**

**Q2.** For the function *f*(*x*)=2*x*3+3*x*2−12*x*+1, which of the following points are stationary point(s) of *f*(*x*)?

**Answer:-** **b,c**

**Q3.** For the function *f*(*x*)=2*x*3+3*x*2−12*x*+1, the stationary point which qualifies to maximize the value of *f*(*x*) is

**Answer:-** **b**

**Q4.** For the function *f*(*x*)=2*x*3+3*x*2−12*x*+1, the stationary point which qualifies to minimize the value of *f*(*x*) is

**Answer:-** **c**

**Q5.** Gradient descent is an iterative optimization algorithm for finding the local minimum of a function

**Answer:-** **a**

**Q6.** Different types of optimization problems are based on

**Answer:-** **For Answer **

**Q7.** The maximization of a function *f*(*x*¯) is equal to the minimization of the function

**Answer:-** **For Answer**

**👇 FOR NEXT WEEK ANSWER: ASSIGNMENT 5 👇**

**Disclaimer**:- We do not claim 100% surety of solutions, these solutions are based on our sole expertise, and by using posting these answers we are simply looking to help students as a reference, so we urge do your assignment on your own.

**For More NPTEL Answers:- CLICK HERE**

**Join Our Telegram:- CLICK HERE**

**NPTEL Data Science for Engineers Assignment 4 Answers 2022:-** All the Answers provided below to help the students as a reference, You must submit your assignment at your own knowledge.

## 2 thoughts on “NPTEL Data Science for Engineers Assignment 4 Answers 2023”