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There is nothing new in Listing 8 . You should be able to correlate the code in Listing 8 and the drawing parameters in Listing 7 with the steps presented earlier to understand how the program named Parabola01 produces the output image shown in Figure 6 .

A cubic

The program named Cubic01 shown in Listing 17 produces the graphic output shown in Figure 9

Figure 9. Graphic output from the program named Cubic01.

Missing image

About the only thing that is different between the program named Parabola01 and the program named Cubic01 is the methodnamed function . In the program named Parabola01 , the method computes and returns the square of the incoming x-value. In theprogram named Cubic01 , the method computes and returns the cube of the incoming x-value. Just about everything that was said about Parabola01 also applies to Cubic01 .

A circle

There are several ways to graph all of the functions discussed in this lesson. The previous sections have illustrated only one way -- using a turtle tograph the function. I will illustrate the following two ways to graph a circle in this section and will compare some of the advantages and disadvantages of each approach :

  • Using a turtle to graph the function
  • Accessing and setting pixel colors

First approach

The first approach that I will present and explain uses a turtle to graph a circle. This program is very similar to the program named Parabola01 , but there are a few differences. I will explain those differences.

The program named Circle01 shown in Listing 18 produces the graphic output shown in Figure 10 .

Figure 10. Graphic output from the program named Circle01.

Missing image

The first difference that is worthy of note is shown by the lines of code involving the variable named rVal in Listing 9 .

Listing 9 . The variable named rVal. double rVal = 0.6;//radius relative to 1.0 double yVal = 0;int row = 0; int col = 0;double xVal = -rVal; double xInc = 2*rVal/100;turtle.setPenColor(Color.BLUE);

The variable named rVal is used to specify the radius of the circle relative to a value of 1.0 as declared and initialized in Listing 9 .

In the previous sections, we have evaluated our equation for a set of 101 x values ranging from -1.0 to +1.0. For the case of the circle, we will evaluatethe equation for a set of 101 x values ranging from -rVal to +rVal . ( There is no point in evaluating the equation outside of the circle.)

The code in Listing 9 declares and initializes the variable named rVal . Further down, the code sets the initial value for xVal to -rVal . Below that, the code sets the x-increment ( xInc ) to the diameter of the circle divided by 100. This will cause the equation for the circle to beevaluated at 101 points from left to right across the circle shown in Figure 10 .

The method named function for Circle01

The method named function is shown in Listing 10 .

This method evaluates and returns the y-value for each incoming x-value for a circle with no offset, centered at the origin.The method evaluates the standard equation for a circle given by

radius*radius = x*x + y*y

Note that unlike the function method for Parabola01 and Cubic01 , this method requires two incoming parameters: the radius and the current x-value.

Questions & Answers

A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
Aislinn Reply
cm
tijani
what is titration
John Reply
what is physics
Siyaka Reply
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Jude Reply
Can you compute that for me. Ty
Jude
what is the dimension formula of energy?
David Reply
what is viscosity?
David
what is inorganic
emma Reply
what is chemistry
Youesf Reply
what is inorganic
emma
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
Krampah Reply
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
Sahid Reply
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
Samuel Reply
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Joseph Reply
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
Ryan
what's motion
Maurice Reply
what are the types of wave
Maurice
answer
Magreth
progressive wave
Magreth
hello friend how are you
Muhammad Reply
fine, how about you?
Mohammed
hi
Mujahid
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
yasuo Reply
Who can show me the full solution in this problem?
Reofrir Reply
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Source:  OpenStax, Object-oriented programming (oop) with java. OpenStax CNX. Jun 29, 2016 Download for free at https://legacy.cnx.org/content/col11441/1.201
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