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 Answer Click 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 Answer Click 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 Answer Click Here
4. Let f(x,y)=−3×2−6xy−6y2. The point (0,0)is a
saddle point
maxima
minima
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6. For which numbers b is the matrix A=[1bb9] positive definite?
−3<b<3
b=3
b=−3
−3≤b≤3
Answer :- For Answer Click 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 Answer Click 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 Answer Click Here
8. In optimization problem, the function that we want to optimize is called
Decision function
Constraints function
Optimal function
Objective function
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9. The optimization problem minx f(x) can also be written as maxx f(x).
True
False
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10. Gradient descent algorithm converges to the local minimum.
True
False
Answer :- For Answer Click Here
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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 |
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| NPTEL Data Science for Engineers Assignment 5 Answers | Click Here |
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| 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. 6x3−3x2−6x = 0
b. 12x3−6x2−6x=0
c. 12x3−9x2−6x=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:-
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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:-
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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)=2x3+3x2−12x+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)=2x3+3x2−12x+1, which of the following points are stationary point(s) of f(x)?
Answer:- b,c
Q3. For the function f(x)=2x3+3x2−12x+1, the stationary point which qualifies to maximize the value of f(x) is
Answer:- b
Q4. For the function f(x)=2x3+3x2−12x+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 👇
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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.
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