1- Write a program using for loop to find the square of numbers from 1-10. Hint: The operator for square is ** Sample Output: number square 112439416 5 25 6 36 7 49 8 64 9 81 10 100 2- Write a program using for loop to find the total sum of numbers 1 - 20. Use accumulation concept.

(Electrical eng.) a. An electrical manufacturer tests five generators by measuring their output voltages at three different times. Write a C++ program that uses a nested loop to enter each generator’s test results, and then computes and displays the average voltage for each generator. Assume the following generator test results: 1stgenerator:122.5122.7123.02ndgenerator:120.2127.0125.13rdgenerator:121.7124.9126.04thgenerator:122.9123.8126.75thgenerator:121.5124.7122.6 b. Modify the program written for Exercise 3a to calculate and display the average voltage for all the generators. (Hint: Use a second variable to store the total of all the generator’s voltages.)

(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.

(For review) a. What’s the difference between a pretest and posttest loop? b. If the condition being tested in a pretest loop is false, how many times are statements in the loop executed? c. If the condition being tested in a posttest loop is false, how many times are statements in the loop executed?

Find the error(s) in the following code: (6)

(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?

(Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.

The following program has syntax errors. Correct them. On each successive line, assume that any preceding error has been corrected. (12) const char = STAR = '*' const int PRIME = 71; int main { int count, sum; double x; count = 1; sum = count + PRIME; x = 25.67 newNum = count * ONE + 2; sum + count = sum; (x + sum) ++; x = x + sum * COUNT; sum += 3 ; cout " count = " count ", sum = " sum ", PRIME = " Prime endl; }

Numerical analysis) Given a number, n, and an approximation for its square root, a closer approximation of the actual square root can be found by using this formula: newapproximation=(n/previousapproximation)+previousapproximation2 Using this information, write a C++ program that prompts the user for a number and an initial guess at its square root. Using this input data, your program should calculate an approximation of the square root that’s accurate to 0.00001. (Hint: Stop the loop when the difference between the two approximations is less than 0.00001.)

(Misc. application) a. Write a program that continuously requests a grade to be entered. If the grade is less than 0 or greater than 100, your program should print an appropriate message informing the user that an invalid grade has been entered; else, the grade should be added to a total. When a grade of 999 is entered, the program should exit the repetition loop and compute and display the average of the valid grades entered. b. Run the program written in Exercise 2a and verify the program by using appropriate test data.