NPTEL Data Science for Engineers Assignment 5 Answer

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NPTEL Data Science for Engineers Assignment 5 Answer – Here All The Questions and Answers Provided to Help All The Students and NPTEL Candidate as a Reference Purpose, It is Mandetory to Submit Your Weekly Assignment By Your Own Understand Level.

Are you looking for the Assignment Answers to NPTEL Data Science for Engineers Assignment 5 Answer? If Yes You are in Our Great Place to Getting Your Solution, This Post Should be help you with the Assignment answer to the National Programme on Technology Enhanced Learning (NPTEL) Course “NPTEL Data Science for Engineers Assignment 5 Answer”

NPTEL Data Science for Engineers Assignment

ABOUT THE COURSE :
Learning Objectives :
  1. Introduce R as a programming language
  2. Introduce the mathematical foundations required for data science
  3. Introduce the first level data science algorithms
  4. Introduce a data analytics problem solving framework
  5. Introduce a practical capstone case study
Learning Outcomes:
  1. Describe a flow process for data science problems (Remembering)
  2. Classify data science problems into standard typology (Comprehension)
  3. Develop R codes for data science solutions (Application)
  4. Correlate results to the solution approach followed (Analysis)
  5. Assess the solution approach (Evaluation)
  6. Construct use cases to validate approach and identify modifications required (Creating)
INTENDED AUDIENCE:  Any interested learner
PREREQUISITES:  10 hrs of pre-course material will be provided, learners need to practise this to be ready to take the course.
INDUSTRY SUPPORT:  HONEYWELL, ABB, FORD, GYAN DATA PVT. LTD.

This course can have Associate in Nursing unproctored programming communication conjointly excluding the Proctored communication, please check announcement section for date and time. The programming communication can have a weightage of twenty fifth towards the ultimate score.

Final score = Assignment score + Unproctored programming exam score + Proctored Exam score
  • Assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
  • ( All assignments in a particular week will be counted towards final scoring – quizzes and programming assignments). 
  • Unproctored programming exam score = 25% of the average scores obtained as part of Unproctored programming exam – out of 100
  • Proctored Exam score =50% of the proctored certification exam score out of 100
YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF ASSIGNMENT SCORE >=10/25 AND
UNPROCTORED PROGRAMMING EXAM SCORE >=10/25 AND PROCTORED EXAM SCORE >= 20/50. 
If any one of the 3 criteria is not met, you will not be eligible for the certificate even if the Final score >= 40/100. 

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Consider the objective function maxf(x)=xymaxf(x)=xy subject to x+y22x+y2≤2 and x,y0.x,y≥0. The Lagrangian function is given by L(x,y,μ1,μ2,μ3)=xyμ1(xy2+2)μ2xμ3yL(x,y,μ1,μ2,μ3)=xy−μ1(−x−y2+2)−μ2x−μ3y

Answer questions 1 to 3 based on this input.

1 point
Which of the following is not an apt representation of the constraint?

Ans – C
1 point

The values of μ1,μ2μ1,μ2 and μ3μ3 while evaluating the Karush-Kuhn-Tucker (KKT) condition with all the constraints being inactive are

Ans – B

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Consider the function f(x,y)=5x2+3y2+8xy+12x+6yf(x,y)=5×2+3y2+8xy+12x+6y as the function to be optimized and answer question 3.

1 point

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

 
Ans – D
1 point

A circle with center at origin is defined as: x2+y2=250x2+y2=250. Find the points on the circle at the minimum distance from the point (10, 1).

Ans – B
1 point

A function is defined as, f(x,y)=10x+5y+29f(x,y)=10x+5y+29. Find the maximum such that the constraint 5x+5y2=445x+5y2=44 is satisfied using a Lagrange multiplier.

Ans – C

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1 point

A manufacturer incurs a monthly fixed cost of $7350 and a variable cost, C(m)=0.001m32m2+324mC(m)=0.001m3−2m2+324m dollars. The revenue generated by selling these units is, R(m)=6m2+1065mR(m)=−6m2+1065m. How many units produced every month (m) will generate maximum profit?

 
 
 
 
Ans – B
1 point
An optimization problem, solved for N variables, with one equality constraint will have
 
 
 
 
Ans – B
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