Contour Plots and Functions

The video tutorial guides viewers through graphing contour plots for various functions using a JavaScript app. It covers entering functions, adjusting plot settings, and saving plots. The tutorial demonstrates graphing five different functions, highlighting the use of default settings, color changes, and zoom features.

What is the primary tool used for graphing contour plots in this tutorial?

• A Java applet

• A JavaScript app

• A Python script

• A C++ program

What is the function used for the first contour plot?

• f(x, y) = 1 / (1 + x^2 + y^2)

• f(x, y) = x^2 - y^2

• f(x, y) = sqrt(x^2 + 2y^2)

• f(x, y) = x^2 + y^2

How many contour levels are initially set for the first plot?

• 15

• 11

• 20

• 5

What is the function used for the second contour plot?

• f(x, y) = sin(x)

• f(x, y) = sqrt(x^2 + 2y^2)

• f(x, y) = x^2 + y^2

• f(x, y) = 1 / (1 + x^2 + y^2)

Which color is selected for the second contour plot?

• Red

• Yellow

• Green

• Blue

What is the function used for the third contour plot?

• f(x, y) = y^2

• f(x, y) = x^2 - y^2

• f(x, y) = 1 / (1 + x^2 + y^2)

• f(x, y) = sin(x)

What is the function used for the fourth contour plot?

• f(x, y) = 1 / (1 + x^2 + y^2)

• f(x, y) = y^2

• f(x, y) = x^2 - y^2

• f(x, y) = sin(x)

What is the function used for the final contour plot?

• f(x, y) = x^2 + y^2

• f(x, y) = x - y^2

• f(x, y) = sin(x)

• f(x, y) = 1 / (1 + x^2 + y^2)

What is the purpose of resetting the app before entering a new function?

• To update the app version

• To change the app language

• To clear previous settings

• To save the current plot

What is the final step after creating a contour plot?

• Change the plot color

• Zoom in on the plot

• Save the plot as a PNG

• Reset the app