Problem Statement Write a C Program that will compute for the product of two complex numbers. Input nput starts with a number N and is followed by N pairs of Complex numbers of the form a + bi, c + di Output The product of the two complex numbers. Allowed languages Limits 1 <= N <= 20 The parts of the complex numbers are ntegers. Notes Problems will have test cases that are not listed in their specification. Your solution must produce the right output for hese hidden test cases. Sample Input #1 3 1+2i, 3 - 41 21, 2 +31 21, 3 - 21 3 9 Sample Output #1 11 + 21 12 +51 23 - 241 Copy Copy

(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.

(Data processing) Your professor has asked you to write a C++ program that determines grades at the end of the semester. For each student, identified by an integer number between 1 and 60, four exam grades must be kept, and two final grade averages must be computed. The first grade average is simply the average of all four grades. The second grade average is computed by weighting the four grades as follows: The first grade gets a weight of 0.2, the second grade gets a weight of 0.3, the third grade gets a weight of 0.3, and the fourth grade gets a weight of 0.2. That is, the final grade is computed as follows: 0.2grade1+0.3grade2+0.3grade3+0.2grade4 Using this information, construct a 60-by-7 two-dimensional array, in which the first column is used for the student number, the next four columns for the grades, and the last two columns for the computed final grades. The program’s output should be a display of the data in the completed array. For testing purposes, the professor has provided the following data:

Mark the following statements as true or false: a. To use a predefined function in a program, you need to know only the name of the function and how to use it. (1) b. A value-returning function returns only one value. (2, 3) c. Parameters allow you to use different values each time the function is called. (2, 7, 9) d. When a return statement executes in a user-defined function, the function immediately exits. (3, 4) e. A value-returning function returns only integer values. (4) f. A variable name cannot be passed to a value parameter. (3, 6) g. If a C++ function does not use parameters, parentheses around the empty parameter list are still required. (2, 3, 6) h. In C + + , the names of the corresponding formal and actual parameters must be the same. (3, 4, 6) i. A function that changes the value of a reference parameter also changes the value of the actual parameter. (7) j. Whenever the value of a reference parameter changes, the value of the actual parameter changes. (7) k. In C++, function definitions can be nested; that is, the definition of one function can be enclosed in the body of another function. (9) l. Using global variables in a program is a better programming style than using local variables, because extra variables can be avoided. (10) m. In a program, global constants are as dangerous as global variables. (10) n. The memory for a static variable remains allocated between function calls. (11)

(Conversion) Write a C++ program that converts gallons to liters. The program should display gallons from 10 to 20 in 1-gallon increments and the corresponding liter equivalents. Use the relationship that 1gallon=3.785liters.

(Civil eng.) Write a C++ program to calculate and display the maximum bending moment, M, of a beam that’s supported on both ends (see Figure 3.8). The formula is M=XW(LX)/L, where X is the distance from the end of the beam that a weight, W, is placed, and L is the beam’s length. You program should produce this display: The maximum bending moment is xxxx.xxxx The xxxx.xxxx denotes placing the calculated value in a field wide enough for four places to the right and left of the decimal point. For your program, assign the values1.2,1.3,and11.2toX,W,andL.

(Computation) Among other applications, Pascal’s triangle (see Figure 7.22) provides a means of determining the number of possible combinations of n things taken r at a time. For example, the number of possible combinations of five people (n = 5) taken two at a time (r=2)is10. Each row of the triangle begins and ends with 1. Every other element in a row is the sum of the element directly above it with the element to the left of the one above it. That is, element[n][r]=element[n1][r]+element[n1][r1] Using this information, write and test a C++ program to create the first 11 rows of a twodimensional array representing Pascal’s triangle. For any given value of n less than 11 and r less than or equal to n, the program should display the correct element. Use your program to determine in how many ways a committee of 8 can be selected from a group of 10 people

In this chapter, you learned that although a double and a decimal both hold floating-point numbers, a double can hold a larger value. Write a C# program named DoubleDecimalTest that declares and displays two variables-a double and a decimal. Experiment by assigning the same constant value to each variable so that the assignment to the double is legal but the assignment to the decimal is not. In other words, when you leave the decimal assignment statement in the program, an error message should be generated that indicates the value is outside the range of the type decimal, but when you comment out the decimal assignment and its output statement, the program should compile correctly.

4. During each summer, John and Jessica grow vegetables in their backyard and buy seeds and fertilizer from a local nursery. The nursery carries different types of vegetable fertilizers in various bag sizes. When buying a particular fertilizer, they want to know the price of the fertilizer per pound and the cost of fertilizing per square foot. The following program prompts the user to enter the size of the fertilizer bag, in pounds, the cost of the bag, and the area, in square feet, that can be covered by the bag. The program should output the desired result. However, the program contains logic errors. Find and correct the logic errors so that the program works properly. // Logic errors. #include #include using namespace std; int main() { double costs double area; double bagsize; cout > bagsize; cout > cost; cout > area; cout << endl; cout << "The cost of the fertilizer per pound is: $" << bagsize / cost << endl; cout << "The cost of fertilizing per square foot is: $" << area / cost << endl; return 0; }

Why do you need to include function prototypes in a program that contains user-defined functions? (5)