The date June 10, 1960, is special because when it is written in the following format, the month times the day equals the year:

$$6/10/60$$

Design a program that asks the user to enter a month (in numeric form), a day, and a twodigit year. The program should then determine whether the month times the day equals the year. If so, it should display a message saying the date is magic. Otherwise, it should display a message saying the date is not magic.

The date June 10, 1960, is special because when we write it in the following format, the month times the day equals the year.

6/10/60

Write a program that asks the user to enter a month (in numeric form), a day, and a two-digit year. The program should then determine whether the month times the day is equal to the year. If so, it should display a message saying the date is magic. Otherwise, it should display a message saying the date is not magic.

Input Validation: Think about what legal values the program should accept for month and day.

The date June 10, 1960, is special because when we write it in the following format, the month times the day equals the year:

$$6/10/60$$

Write a program that asks the user to enter a month (in numeric form), a day, and a twodigit year. The program should then determine whether the month times the day is equal to the year. If so, it should display a message saying the date is magic. Otherwise, it should display a message saying the date is not magic

Assuming the ocean’s level is currently rising at about 1.6 millimeters per year, create an application that displays the number of millimeters that the ocean will have risen each year for the next 25 years.

Magic Dates

The date June 10,1960 is special because when we write it in the following format, the month times the day equals the year.

6 / 10 / 60

Write a program that asks the user to enter a month (in numeric form), a day, and a two-digit year. The program should then determine whether the month times the day is equal to the year. If so, it should display a message saying the date is magic. Otherwise, it should display a message saying the date is not magic.

Determine the solution set of each equation in radians (for x) to four decimal places or degrees (for $\theta$) to the nearest tenth as appropriate. $4 \cos ^{2} x-1=0$

The days of the year are often numbered from 1 through 365 (or 366). This number can be computed in three steps using int arithmetic: (a) dayNum = 31(month - 1) + day (b) if the month is after February subtract (4month + 23)/10 (c) if it's a leap year and after February 29, add 1 Write a program that accepts a date as month/day/year, verifies that it is a valid date, and then calculates the corresponding day number.

The colors red, blue, and yellow are known as the primary colors because they cannot be made by mixing other colors. When you mix two primary colors, you get a secondary color, as shown here:

$$\begin{matrix} \text{When you mix red and blue, you get purple.}\\ \text{When you mix red and yellow, you get orange.}\\ \text{When you mix blue and yellow, you get green.}\\ \end{matrix}$$

					Design a program that prompts the user to enter the names of two primary colors to mix. If

the user enters anything other than “red,” “blue,” or “yellow,” the program should display an error message. Otherwise, the program should display the name of the secondary color that results.

Prove that (n+1)!=n!(n+1).

Write a program that asks the user for a number in the range of 1 through 7. The program should display the corresponding day of the week, where $1=$ Monday, $2=$ Tuesday, $3=$ Wednesday, $4=$ Thursday, $5=$ Friday, $6=$ Saturday, and $7=$ Sunday. The program should display an error message if the user enters a number that is outside the range of 1 through 7.

Sketch the graph of the function $f(x)=3x^5-5x^3+1$

Does the reflection of a scene in calm water look exactly the same as the scene itself only upside down?

Magic Dates
The date June 10, 1960 is special because when we write it in the following format, the month times the day equals the year.

  6/10/60

Write a program that asks the user to enter a month (in numeric form), a day, and a two-digit year. The program should then determine whether the month times the day is equal to the year. If so, it should display a message saying the date is magic. Otherwise it should display a message saying the date is not magic.

Scientists measure an object’s mass in kilograms and its weight in newtons. If you know the amount of mass of an object in kilograms, you can calculate its weight in newtons with the following formula:

$$\textit{weight} = \textit{mass} \times 9.8$$

Write a program that asks the user to enter an object’s mass, and then calculates its weight. If the object weighs more than 500 newtons, display a message indicating that it is too heavy. If the object weighs less than 100 newtons, display a message indicating that it is too light.