<< Chapter < Page Chapter >> Page >

Exercises

Exercise 1

Using Java and the game-math library named GM2D02 , or using a different programming environment of your choice, write a program that draws a horizontalline segment and a vertical line segment representing the x and y axes in a 2D Cartesian coordinate system as shown in Figure 2 .

Cause the origin of your reference frame be at the center of your drawing.

Cause the positive x direction be to the right.

Cause the positive y direction be either up or down according to your choice.

Cause the program to display your name in some manner.

Figure 2 Graphic output from Exercise 1.

Missing image.

Exercise 2

Using Java and the game-math library named GM2D02 , or using a different programming environment of your choice, write a program that draws x and y axes in a 2DCartesian coordinate system as shown in Figure 3 .

Cause the origin of your reference frame be at the center of your drawing.

Cause the positive x direction be to the right.

Cause the positive y direction be either up or down according to your choice.

Then draw small circles that represent the locations of points at the following coordinates in the reference frame as shown in Figure 3 .

  • x = -30, y = -40
  • x = 30, y = -40
  • x = 30, y = 40

Cause the program to display your name in some manner.

Figure 3 Graphic output from Exercise 2.

Missing image.

Exercise 3

Using Java and the game-math library named GM2D02 , or using a different programming environment of your choice, write a program that draws xand y axes in a 2D Cartesian coordinate system as shown in Figure 4 .

Cause the origin of your reference frame be at the center of your drawing.

Cause the positive x direction be to the right.

Cause the positive y direction be either up or down according to your choice.

Create six random values in the range from -128 to +127. Use those values as the x and ycoordinates for three points in the 2D reference frame. (The code fragment in Listing 29 shows how to generate random values in the required range in Java.)

Display the six values on a text screen labeled in such a way that it is possible to associate the valueswith the points as shown in Figure 5 .

Draw three small circles that represent the locations of the points.

Draw three line segments that connect the three points in pairs creating the shape of a triangle.

Cause the program to display your name in some manner.

Figure 4 Graphic output from Exercise 3.

Missing image.

Figure 5 . Text output from Exercise 3.
point0X: -55 point0Y: 17point1X: 9 point1Y: -37point2X: 14 point2Y: 62
Listing 29. Code for generating random values in Java.
//Define three randomly located points. Random generator = new Random(new Date().getTime());point0X = (byte)generator.nextInt(); point0Y = (byte)generator.nextInt();point1X = (byte)generator.nextInt(); point1Y = (byte)generator.nextInt();point2X = (byte)generator.nextInt(); point2Y = (byte)generator.nextInt();

Exercise 4

Using Java and the game-math library named GM2D02 , or using a different programming environment of your choice, write a program that draws three small circles that represent thelocations of points at the following coordinates in a 2D reference frame.

  • point0X = -30
  • point0Y = 0
  • point1X = 30
  • point1Y = 40
  • point2X = 30
  • point2Y = -40

Then draw three line segments that extend from edge-to-edge of your drawing and intersect the threepoints in pairs as shown in Figure 6 .

Cause the origin of your reference frame be at the center of your drawing.

Cause the positive x direction to be to the right.

Cause the positive y direction be either up or down according to your choice.

Cause the program to display your name in some manner.

Figure 6 Graphic output from Exercise 4.

Missing image.

Exercise 5

Using Java and the game-math library named GM2D02 , or using a different programming environment of your choice, write a program that draws 24 vectors tail-to-tail in alternatingcolors of red, green, and blue as shown in Figure 7 .

The first vector is red.

The length of each vector is 100 pixels.

The direction of the first vector is +7.5 degrees relative to the horizontal.

The direction of each successive vector is increased by 15 degrees.

For example, the directions of the first four vectors are:

  • 7.5
  • 22.5
  • 37.5
  • 52.5

Draw the symbol of your choice to identify the head of each vector.

Draw the axes for a Cartesian coordinate system in the reference frame.

Cause the positive x direction to be to the right.

Cause the positive y direction be either up or down according to your choice.

Cause positive angles to be either clockwise or counter-clockwise according to your choice.

Cause the program to display your name in some manner.

Figure 7 Graphic output from Exercise 5.

Missing image.

Exercise 6

Using Java and the game-math library named GM2D02 , or using a different programming environment of your choice, write a program that draws24 vectors tail-to-head in alternating colors of red, green, and blue as shown in Figure 8 .

The first vector is red.

The length of each vector is approximately 17 pixels.

Draw the symbol of your choice to identify the head of each vector.

Draw the axes for a Cartesian coordinate system in the reference frame.

Cause the positive x direction to be to the right.

Cause the positive y direction be either up or down according to your choice.

Cause positive angles to be either clockwise or counter-clockwise according to your choice.

Cause the program to display your name in some manner.

Figure 8 Graphic output from Exercise 6.

Missing image.

Exercise 7

Using Java and the game-math library named GM2D02 , or using a different programming environment of your choice, write a program that draws 24 vectors tail-to-head in alternatingcolors of red, green, and blue as shown in Figure 9 .

The first vector is red.

Begin with a length of 24 pixels for the first vector and reduce the length of each successive vector by one pixel.

Draw the symbol of your choice to identify the head of each vector.

Draw the axes for a Cartesian coordinate system in the reference frame.

Cause the positive x direction to be to the right.

Cause the positive y direction be either up or down according to your choice.

Cause positive angles to be either clockwise or counter-clockwise according to your choice.

Cause the program to display your name in some manner.

Figure 9 Graphic output from Exercise 7.

Missing image.

-end-

Questions & Answers

What are the factors that affect demand for a commodity
Florence Reply
differentiate between demand and supply giving examples
Lambiv Reply
differentiated between demand and supply using examples
Lambiv
what is labour ?
Lambiv
how will I do?
Venny Reply
how is the graph works?I don't fully understand
Rezat Reply
information
Eliyee
devaluation
Eliyee
t
WARKISA
hi guys good evening to all
Lambiv
multiple choice question
Aster Reply
appreciation
Eliyee
explain perfect market
Lindiwe Reply
In economics, a perfect market refers to a theoretical construct where all participants have perfect information, goods are homogenous, there are no barriers to entry or exit, and prices are determined solely by supply and demand. It's an idealized model used for analysis,
Ezea
What is ceteris paribus?
Shukri Reply
other things being equal
AI-Robot
When MP₁ becomes negative, TP start to decline. Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of lab
Kelo
Extuples Suppose that the short-run production function of certain cut-flower firm is given by: Q=4KL-0.6K2 - 0.112 • Where is quantity of cut flower produced, I is labour input and K is fixed capital input (K-5). Determine the average product of labour (APL) and marginal product of labour (MPL)
Kelo
yes,thank you
Shukri
Can I ask you other question?
Shukri
what is monopoly mean?
Habtamu Reply
What is different between quantity demand and demand?
Shukri Reply
Quantity demanded refers to the specific amount of a good or service that consumers are willing and able to purchase at a give price and within a specific time period. Demand, on the other hand, is a broader concept that encompasses the entire relationship between price and quantity demanded
Ezea
ok
Shukri
how do you save a country economic situation when it's falling apart
Lilia Reply
what is the difference between economic growth and development
Fiker Reply
Economic growth as an increase in the production and consumption of goods and services within an economy.but Economic development as a broader concept that encompasses not only economic growth but also social & human well being.
Shukri
production function means
Jabir
What do you think is more important to focus on when considering inequality ?
Abdisa Reply
any question about economics?
Awais Reply
sir...I just want to ask one question... Define the term contract curve? if you are free please help me to find this answer 🙏
Asui
it is a curve that we get after connecting the pareto optimal combinations of two consumers after their mutually beneficial trade offs
Awais
thank you so much 👍 sir
Asui
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities, where neither p
Cornelius
In economics, the contract curve refers to the set of points in an Edgeworth box diagram where both parties involved in a trade cannot be made better off without making one of them worse off. It represents the Pareto efficient allocations of goods between two individuals or entities,
Cornelius
Suppose a consumer consuming two commodities X and Y has The following utility function u=X0.4 Y0.6. If the price of the X and Y are 2 and 3 respectively and income Constraint is birr 50. A,Calculate quantities of x and y which maximize utility. B,Calculate value of Lagrange multiplier. C,Calculate quantities of X and Y consumed with a given price. D,alculate optimum level of output .
Feyisa Reply
Answer
Feyisa
c
Jabir
the market for lemon has 10 potential consumers, each having an individual demand curve p=101-10Qi, where p is price in dollar's per cup and Qi is the number of cups demanded per week by the i th consumer.Find the market demand curve using algebra. Draw an individual demand curve and the market dema
Gsbwnw Reply
suppose the production function is given by ( L, K)=L¼K¾.assuming capital is fixed find APL and MPL. consider the following short run production function:Q=6L²-0.4L³ a) find the value of L that maximizes output b)find the value of L that maximizes marginal product
Abdureman
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Game 2302 - mathematical applications for game development. OpenStax CNX. Jan 09, 2016 Download for free at https://legacy.cnx.org/content/col11450/1.33
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Game 2302 - mathematical applications for game development' conversation and receive update notifications?

Ask