2. Write a program that sums up all positive user input numbers. a) For every iteration output the sum of all positive input values. b) Implement the loop to stop if a negative value is entered. c) The sentinel value, the negative number should not be included in the sum. d) Use a function, sumInput() to calculate the sum and return the list that contains all the input numbers. e) Call the function and print out the list. Output Example: Enter a positive number to sum or enter any negative number to end the program: 8.5 Sum = 8.5 Enter a positive number to sum or enter any negative number to end the program: 7 Sum = 15.5 Enter a positive number to sum or enter any negative number to end the program: 100 Sum = 115.5 Enter a positive number to sum or enter any negative number to end the program: -1 All the numbers: [8.5, 7, 100] Ending Program.

(List maintenance) a. Write a complete C++ program that can be used to update an ordered list of numbers. Use the list of numbers shown in Figure 7.13 to test that your program is working correctly. b. Test the program you wrote for Exercise 4a, using a new part number of 86 with the list of numbers shown in Figure 7.13. This test should place this new code at the beginning of the existing list. c. Test the program you wrote for Exercise 4a, using a part number of 200 with the list of numbers shown in Figure 7.13. This test should place this new part number at the end of the existing list

(Numerical) Using the srand() and rand() C++ library functions, fill an array of 1000 floating-point numbers with random numbers that have been scaled to the range 1 to 100. Then determine and display the number of random numbers having values between 1 and 50 and the number having values greater than 50. What do you expect the output counts to be?

(Statistical) In many statistical analysis programs, data values considerably outside the range of the majority of values are simply dropped from consideration. Using this information, write a C++ program that accepts up to 10 floating-point values from a user and determines and displays the average and standard deviation of the input values. All values more than four standard deviations away from the computed average are to be displayed and dropped from any further calculation, and a new average and standard deviation should be computed and displayed.

(Statistics) This is the formula for the standard normal deviate, z, used in statistical applications: z=(X)/ X is a single value. refers to an average value. refers to a standard deviation. Using this formula, you need to write a program that calculates and displays the value of the standard normal deviate when X=85.3,=80,and=4. a. For this programming problem, how many outputs are required? b. How many inputs does this problem have? c. Determine a formula for converting input items into output items. d. Test the formula written for Exercise 7c, using the data given in the problem.

(Numerical) a. The following is an extremely useful programming algorithm for rounding a real number to n decimal places: Step 1: Multiply the number by 10n Step 2: Add 0.5 Step 3: Delete the fractional part of the result Step 4: Divide by 10n For example, using this algorithm to round the number 78.374625 to three decimal places yields: Step1:78.374625103=78374.625 Step2:78374.625+0.5=78375.125 Step3:Retainingtheintegerpart=78375Step4:78375dividedby103=78.375 Using this algorithm, write a C++ function that accepts a user-entered value and returns the result rounded to two decimal places. b. Enter, compile, and run the program written for Exercise 11a.

Redo Programming Exercise 8 using dowhile loops.

(Numerical) Write and test a function that returns the position of the largest and smallest values in an array of double-precision numbers.

(Numerical analysis) a. The following is an approximate conversion formula for converting Fahrenheit to Celsius temperatures: Celsius=(Fahrenheit30)/2 Using this formula, and starting with a Fahrenheit temperature of 0 degrees, write a C++ program that determines when the approximate equivalent Celsius temperature differs from the exact equivalent value by more than 4 degrees. (Hint: Use a while loop that terminates when the difference between approximate and exact Celsius equivalents exceeds 4 degrees.) b. Using the approximate Celsius conversion formula given in Exercise 8a, write a C++ program that produces a table of Fahrenheit temperatures, exact Celsius equivalent temperatures, approximate Celsius equivalent temperatures, and the difference between the exact and approximate equivalent Celsius values. The table should begin at 0 degrees Fahrenheit, use 2-degree Fahrenheit increments, and terminate when the difference between exact and approximate values is more than 4 degrees.

(Conversion) a. Write a C++ program to convert meters to feet. The program should request the starting meter value, the number of conversions to be made, and the increment between metric values. The display should have appropriate headings and list the meters and the corresponding feet value. If the number of iterations is greater than 10, have your program substitute a default increment of 10. Use the relationship that 1 meter = 3.281 feet. b. Run the program written in Exercise 6a on a computer. Verify that your program begins at the correct starting meter value and contains the exact number of conversions specified in your input data. c. Modify the program written in Exercise 6a to request the starting meter value, the ending meter value, and the increment. Instead of the condition checking for a fixed count, the condition checks for the ending meter value. If the number of iterations is greater than 20, have your program substitute a default increment of (ending value - starting value) / 19.