Write a program that first get the value of a positive integer N (where N> 0)...

  

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Write a program that first get the value of a positive integer N (where N> 0) from the user. It then computes the double number 2 using the following series. Use a looping structure. All divisions are real, floating point divisions. Z=1+(1/2) + (1/3) + (1/4)+...+(1/N) Sample Session Microsoft Visual Studio Debug Console Enter a positive integer: 10 - 2.92897 Problem 2: Write a program that asks the user to input a positive integer x. The program then computes and displays the value. of the floating point number 2 using the following formula: (All divisions should be real, floating point divisions). Use afor looping structure. 2 = Microsoft Visual Studio Debug Console Enter a positive integer: 2 Z 3.53804 1 1 x x+1 x+2 Note that the program should NOT allow the user to input a value <=0 Sample Session 1: Sample Session 2: GN Microsoft Visual Studio Debug Console Enter a positive integer: -2 Invalid input ++ 1 x + 50 GS Microsoft Visual Studio Debug Console Enter two integers: 3 7 Sum 25 Problem 3: Write a program that asks the user to enter the valuesfor two positive integers Nl and N2. It is assumed that user will enter those values such that N2 is always greater than NI. The program then computes and prints the sum of all the integers present between NI and N2 (with both NI and N2 included). Your program must use a forlooping structure For example, if N1-3 and N2-7, then the sum printed will be 25 (ie, -3+4+5+6+7). Sample Session 1: Problem 4: Write a program that generates a table showing the angle 8 (in radians), from 0 to 2m in the step of 1/4, and the corresponding values for sin(8) and cos). Moreover, prove the identity that sin²(8) + cos²(8) 1 for each value of 8. Hint: Declare and initialize as const double PI- 3.14159; Use a for loop with theta (angle) varying from 0 to 2*, with end of iteration expression incrementing theta by/4. Use sin(theta) and costheta) functions from <math> library to get the values of sin(theta) and costheta), respectively. The angle theta should be in radians. Use cout.precision (5); cout <<scientific; before printing the numbers to form at the output as shown in the sample. Sample Output: (Your output may not be perfectly aligned within columns) EA Microsoft Visual Studio Debug Console sin(theta) theta 0.000000+00 7.85397e-01 0.000000+00 7.071060-01 1.570790+00 1.000000+00 2.35619e+00 7.071080-01 3.141590+00 2.653590-06 3.926990+00 4.712390+00 5.49778e+00 6.283180+00 cos(theta) 1.000000+00 7.07107e-01 1.32679e-06 -7.071050-01 -1.000000+00 -7.071040-01 -7.071090-01 -1.000000+00 -3.980380-06 -7.071100-01 7.071030-01 -5.307180-06 1.000000+00 sin2(theta) + cos2(theta) 1.000000+00 1.000000+00 1.000000+00 1.000000+00 1.000000+00 1.000000+00 1.000000+00 1.000000+00 1.000000+00 A Write a program that first get the value of a positive integer N (where N> 0) from the user. It then computes the double number 2 using the following series. Use a looping structure. All divisions are real, floating point divisions. Z=1+(1/2) + (1/3) + (1/4)+...+(1/N) Sample Session Microsoft Visual Studio Debug Console Enter a positive integer: 10 - 2.92897 Problem 2: Write a program that asks the user to input a positive integer x. The program then computes and displays the value. of the floating point number 2 using the following formula: (All divisions should be real, floating point divisions). Use afor looping structure. 2 = Microsoft Visual Studio Debug Console Enter a positive integer: 2 Z 3.53804 1 1 x x+1 x+2 Note that the program should NOT allow the user to input a value <=0 Sample Session 1: Sample Session 2: GN Microsoft Visual Studio Debug Console Enter a positive integer: -2 Invalid input ++ 1 x + 50 GS Microsoft Visual Studio Debug Console Enter two integers: 3 7 Sum 25 Problem 3: Write a program that asks the user to enter the valuesfor two positive integers Nl and N2. It is assumed that user will enter those values such that N2 is always greater than NI. The program then computes and prints the sum of all the integers present between NI and N2 (with both NI and N2 included). Your program must use a forlooping structure For example, if N1-3 and N2-7, then the sum printed will be 25 (ie, -3+4+5+6+7). Sample Session 1: Problem 4: Write a program that generates a table showing the angle 8 (in radians), from 0 to 2m in the step of 1/4, and the corresponding values for sin(8) and cos). Moreover, prove the identity that sin²(8) + cos²(8) 1 for each value of 8. Hint: Declare and initialize as const double PI- 3.14159; Use a for loop with theta (angle) varying from 0 to 2*, with end of iteration expression incrementing theta by/4. Use sin(theta) and costheta) functions from <math> library to get the values of sin(theta) and costheta), respectively. The angle theta should be in radians. Use cout.precision (5); cout <<scientific; before printing the numbers to form at the output as shown in the sample. Sample Output: (Your output may not be perfectly aligned within columns) EA Microsoft Visual Studio Debug Console sin(theta) theta 0.000000+00 7.85397e-01 0.000000+00 7.071060-01 1.570790+00 1.000000+00 2.35619e+00 7.071080-01 3.141590+00 2.653590-06 3.926990+00 4.712390+00 5.49778e+00 6.283180+00 cos(theta) 1.000000+00 7.07107e-01 1.32679e-06 -7.071050-01 -1.000000+00 -7.071040-01 -7.071090-01 -1.000000+00 -3.980380-06 -7.071100-01 7.071030-01 -5.307180-06 1.000000+00 sin2(theta) + cos2(theta) 1.000000+00 1.000000+00 1.000000+00 1.000000+00 1.000000+00 1.000000+00 1.000000+00 1.000000+00 1.000000+00 A

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Problem 1 As per the Question i used looping structures to complete i have wrote this problem in pyt... View the full answer