Reference no: EM132211477
Question: Write a program rootTable.cpp which reads in the number of roots, a value increment and a precision and outputs a table of roots x^1/2; x^1/3;.....for the given number of roots and values of x equal to i times the increment up to and including 100.
For instance, if the number of roots is 10, and the precision is 2 and the increment is 10, then the table should be:
Value x^1/2 x^1/3 x^1/4 x^1/5 x^1/6 x^1/7 x^1/8 x^1/9 x^1/10 x^1/11
10 3.16 2.15 1.78 1.58 1.47 1.39 1.33 1.29 1.26 1.23
20 4.47 2.71 2.11 1.82 1.65 1.53 1.45 1.39 1.35 1.31
30 5.48 3.11 2.34 1.97 1.76 1.63 1.53 1.46 1.41 1.36
40 6.32 3.42 2.51 2.09 1.85 1.69 1.59 1.51 1.45 1.40
50 7.07 3.68 2.66 2.19 1.92 1.75 1.63 1.54 1.48 1.43
60 7.75 3.91 2.78 2.27 1.98 1.79 1.67 1.58 1.51 1.45
70 8.37 4.12 2.89 2.34 2.03 1.83 1.70 1.60 1.53 1.47
80 8.94 4.31 2.99 2.40 2.08 1.87 1.73 1.63 1.55 1.49
90 9.49 4.48 3.08 2.46 2.12 1.90 1.76 1.65 1.57 1.51
100 10.00 4.64 3.16 2.51 2.15 1.93 1.78 1.67 1.58 1.52
1. Prompt and read in the number of roots. Store the number as an integer.
2. Prompt and read in the value increment. Store the number as an integer.
3. Prompt and read in the precision. Store the number as an integer.
4. Compute the width of each column based upon the precision. All columns after the rst should have the same width. All columns should be separated by a blank space. Note that you need a minimum column width to properly display the column headers. However, for greater precision, your column width should increase with the precision.
5. Write a header row for the table. Use the column width to correctly adjust the column headers. Note that you will have to handle columns headers x^1/i dierently when i is a single digit (i < 10) or when i is two digits (i <= 10). You may assume that i has at most two digits.
Note: The last character in each root title column must be aligned with the last character in each decimal column. Just like shown in your picture. And no matter the variable, there should be 3 spaces between each column of decimals.
6. Write the rows of the table. The rst column is x. The i'th column is the value of x1=i. Use xed precision and the given number of digits after the decimal point specied by the precision. The decimal points in each column should line up.