Write a c++ program that convert the input Celsius degree into its equivalent Fahrenheit degree. Use the formula F= (9/5) * C + 32  Sample input:  Enter the temperature in celsius: 38  Sample Output:  The equivalent temperature in Fahrenheit is 100.4

(Practice) An automobile travels at an average speed of 55 mph for 4 hours. Write a C++ program that displays the distance, in miles, the car has traveled after 1, 2, and so on hours until the end of the trip.

(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.

(Mechanics) The deflection at any point along the centerline of a cantilevered beam, such as the one used for a balcony (see Figure 5.15), when a load is distributed evenly along the beam is given by this formula: d=wx224EI(x2+6l24lx) d is the deflection at location x (ft). xisthedistancefromthesecuredend( ft).wistheweightplacedattheendofthebeam( lbs/ft).listhebeamlength( ft). Eisthemodulesofelasticity( lbs/f t 2 ).Iisthesecondmomentofinertia( f t 4 ). For the beam shown in Figure 5.15, the second moment of inertia is determined as follows: l=bh312 b is the beam’s base. h is the beam’s height. Using these formulas, write, compile, and run a C++ program that determines and displays a table of the deflection for a cantilevered pine beam at half-foot increments along its length, using the following data: w=200lbs/ftl=3ftE=187.2106lb/ft2b=.2fth=.3ft

(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.

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.

(Data processing) Years that are evenly divisible by 400 or are evenly divisible by 4 but not by 100 are leap years. For example, because 1600 is evenly divisible by 400, 1600 was a leap year. Similarly, because 1988 is evenly divisible by 4 but not by 100, it was also a leap year. Using this information, write a C++ program that accepts the year as user input, determines whether the year is a leap year, and displays a message telling the user whether the entered year is or is not a leap year.

(Practice) Write C++ statements for the following: a.b=sinxcosxb.b=sin2xcos2xc.area=( cbsina)/2d.c= a 2 + b 2 e.p= | mn|f.sum= a( r n 1) r1

(cin within a loop) Write and run a C++ program that accepts 10 values of gallons, one at a time, and converts each value entered to its liter equivalent before the next value is requested. Use a for loop in your program. Use the fact that 1gallon=3.785liters.

(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