**NPTEL Data Science for Engineers Assignment 5 Answers 2022:-** All the Answers provided below to help the students as a reference, You must submit your assignment at your own knowledge.

## 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 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 | NA |

NPTEL Data Science for Engineers Assignment 8 Answers | NA |

## NPTEL Data Science for Engineers Assignment 5 Answers 2022:-

**Q1. An optimization problem, solved for N variables, with one equality constraint will have**

a. N equations in N variables

b. N + 1 equations in N + 1 variables

c. N equations in N + 1 variables

d. none of these

**Answer:- b. N + 1 equations in N + 1 variable**

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**Q2. While minimizing a function f(x,y)=6x2+4y2 with a constraint 3x+2yβ€12, the unconstrained minimum solution is __________ the constrained minimum solution**

a. Equal to

b. Less than

c. Greater than

d. both (b) and (c)

**Answer:** a. Equal to

**Q3. The function min f(x,y)=3x+y subject to the given constraints x2+y2<10 is an example of**

a. Unconstrained multivariate optimisation

b. Multivariate optimisation with equality constraint

c. Multivariate optimisation with inequality constraint

d. None of the above

**Answer: c. Multivariate optimisation with inequality constraint**

**Q4. What is the global minimum value for the function f(x,y)=(x+y)2+5?**

a. 0

b. -β

c. 5

d. global minimum does not exist

**Answer: c. 5**

Consider the function *f*(*x*,*y*)=5*x*2+3*y*2;+8*xy*+12*x*+6*y* as the function to be optimized and answer questions 5 and 6.

**Q5. The saddle point of the function f(x,y) exists in which of the following coordinates (x,y)**

a. (6,-9)

b. (5,3)

c. (2,-3)

d. There is no saddle point

**Answer: a. (6,-9)**

**Q6. The Hessian matrix obtained for the function f(x,y) is**

a.\begin{bmatrix} 5 & 3 \\ 12 & 6 \end{bmatrix}

b.\begin{bmatrix} 12 & 6 \\ 5 & 3 \end{bmatrix}

c.\begin{bmatrix} 10 & 8 \\ 8 & 6 \end{bmatrix}

d.\begin{bmatrix} 5 & 8 \\ 8 & 3 \end{bmatrix}

**Answer: c.\begin{bmatrix} 10 & 8 \\ 8 & 6 \end{bmatrix}**

**Q7. The eigenvalues for the Hessian matrix obtained in Q6 are**

a. -2.5, 2.5

b. 8.3584, -3.46

c. 4.5046, -5.3654

d. 16.2462, -0.2462

**Answer: For Answer Click Here**

**Q8. Geometrically, finding the minimum of the function f(x,y)=x2+4y2 subject to the constraint 3x+7y=4 implies that**

a. The minimum value exist in the the gradient of the tangent 3x + 7y = 4

b. The minimum value is present in the contour of the ellipse xΒ² + 4yΒ² = k such that itβs tangent is 3x + 7y = 4

c. The minimum value is present at the point (0,0)

d. The minimum value is not dependent on the constraint

**Answer: b. The minimum value is present in the contour of the ellipse xΒ² + 4yΒ² = k such that itβs tangent is 3x + 7y = 4**

**Q9. State whether the following statements are True or False.**

i) The decision variables of the optimization function need not be independent of each other

ii) An optimization problem with linear objective function and linear constraints is said to be a linear optimization problem

a. i) β TRUE; ii) β FALSE

b. i) β FALSE; ii) β FALSE

c. i) β TRUE; ii) β TRUE

d. i) β FALSE; ii) β TRUE

**Answer: d. i) β FALSE; ii) β TRUE**

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**NPTEL Data Science for Engineers Assignment 5 Answers 2022:-** All the Answers provided below to help the students as a reference, You must submit your assignment at your own knowledge.

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