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Show that (1/n²+ n+1)↓n∈N


is a Cauchy sequence.

1.   What are the functions of a central bank?

What is the history of money? (Step by step explain how humankind moved from barter trade to the kinds of money with have to day).

program that calculates and displays the income tax of a salary entered from the keyboard in c++


A saline solution is prepared by dissolving 5.04 g of NaCl in 95.0 g of water.



Calculate the following:



a. Mole fraction of the solute and the solvent



b. % mass of the solute



c. Concentration of solution in ppm




Please put what letter did you answer in every solution

program that computes the sum and the difference and the product of a range of consecutive numbers where the starting and ending numbers of the range are to be entered from the keyboard


You work in XYZ Corporation as a Data Analyst. Your corporation has told you to work with the statistics. 


1. Create a table in excel, table should have 2 columns named x and y.

a. ‘x’ column should have numbers from 1-5.

b. ‘y’ should have numbers 2,4,5,4,2

c. Now calculate the mean of columns x and y.

d. Calculate the mode of column x.

e. Calculate the standard deviation of column y.

f. Atlast calculate the range of columns x and y separately


You work in XYZ Corporation as a Data Analyst. Your corporation has told you to visualize the mtcars.csv dataset with various plots.

1. Plot the area chart for the colmns: ‘am’ and ‘carb’.

a. Set the ‘am’ on the x-axis.

b. Set the ‘carb’ on the y-axis.

c. Provide the x-axis label as Transmission.

d. Provide the y-axis labe as Number of carburetors.

e. Provide the title as Transmission vs Number of carburetors.



You work in XYZ Corporation as a Data Analyst. Your corporation has told you to visualize the mtcars.csv dataset with various plots.


1. Plot a pie chart for columns: ‘cyl’ and ‘model’ form the mtcars.csv data frame


You work in XYZ Corporation as a Data Analyst. Your corporation has told you to visualize the mtcars.csv dataset with various plots. Tasks to be performed:

Dataset Link 1. Generate a bar plot graph for the columns ‘carbs’ and ‘gear’.

a. Map the ‘carbs’ onto the x-axis.

b. Map the ‘gear’ onto the y-axis.

c. Provide the x-axis label as Number of carburetors.

d. Provide the y-axis label as Number of forward gears.

e. Set the title as carbs vs gear.



You work in XYZ Corporation as a Data Analyst. Your corporation has told you to visualize the mtcars.csv dataset with various plots. Tasks to be performed:

Dataset Link 1. Plot a histogram for the column ‘wt’.

a. Map the ‘wt’ onto the x-axis.

b. Provide the x-axis label as ‘weight of the cars’.

c. Provide the y-axis label as ‘Count’

d. Set the number of bins as 30.

e. Set the title as ‘Histogram for the weight values


Percent Composition and Empirical Formula




1. The chemical analysis of aspirin indicates that the molecule is 60.00% carbon, 4.44% hydrogen,



and 35.56% oxygen. Determine the empirical formula for aspirin.




2. **Glucose is a simple sugar produced during photosynthesis. It has a molecular formula of C6H12O6.




a. Compute for the percent composition.




b. Determine the empirical formula.

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