Discuss different data structures in R. Write program using R for the following tasks: (i) Computation of income tax of a vector of size 10, consisting of the total annual income of 10 different persons. The tax computation should be 10%, if annual income is below 5 lakhs and 20% if it is above 5 lakhs. (ii) Matrix addition, subtraction and multiplication (iii) Finding inverse of a matrix

What is PageRank? Discuss the basic principle of flow model in PageRank. Explain different mechanisms of finding pagerank?

Create a sample data of the marks of 20 students in five different subjects using MSExcel. Discuss the different chart and graphing library packages supported by R programming language. Write programs using R programming language to create four different plots using this data.

What is the purpose of using Apache SPARK, HIVE and HBASE, explain with supporting example.

A class has 25 students. Create a data set of marks of the students in Mathematics out of a maximum of 50 marks. Discuss and draw, which chart will be best for Visualization & Interpretation. Justify your reasons in support of your answer.

Describe data science. What uses does it have? In the context of data analysis, define the terms descriptive, exploratory, and predictive.

Provide examples of real-world applications or case studies where LHTES systems have been successfully implemented.

What are the challenges or limitations associated with implementing LHTES systems?

Discuss the economic viability of implementing sensible heat storage systems in different sectors. Analyze the factors that influence the cost- effectiveness and return on investment of such systems, considering both the initial capital costs and long-term operational benefits.

Compare and contrast the capital costs and operational costs of pumped-storage hydroelectricity and lithium-ion battery storage systems. What factors contribute to the cost differences between these two technologies?

Explain the innovative strategies used for Thermal Solar Energy Storage in buildings to achieve 3E goals.

What are the factors need to be considered while designing PCM? What are the different applications of PCM?

What are the main components of a fuel cell? How does a fuel cell generate electricity?

Compare different fuel cells based upon efficiency, operating temperature and fuel used.

Discuss the safety aspects associated with hydrogen energy storage. Explain the measures, regulations, and best practices implemented to ensure safe storage, handling, and transportation of hydrogen.

Discuss the concept of redox flow batteries and their advantages over other battery technologies.

Explain the design considerations for a flywheel rotor, including material selection, shape, and balancing techniques. Discuss the factors that affect the maximum achievable energy storage capacity

What are the challenges and opportunities associated with integrating energy storage systems into the electrical grid?

Nano Sensor

Pollution Abatement