The following applet draws the surface z=f(x,y) for a \le x \le b and c \le y \le d. Simply enter the function f(x,y) and the values a, b, c and d.
The values a, b, c and d can be changed by simply typing a new value, such as "1.2345", "pi/2", "sqrt(5)+cos(3)", etc. You may also change these values by using the up/down arrow keys, dragging the corresponding point left or right, or dragging the corresponding line up or down. To move the center of the graph, simply drag any point to a new location. To label the x-axis in radians (i.e. multiples of pi), click on the graph and press "control-r". To switch back, simply press "control-r" again.
You can rotate the object about the center of the screen by dragging the mouse while holding down the SHIFT key.
The values a, b, c and d can be changed by simply typing a new value, such as "1.2345", "pi/2", "sqrt(5)+cos(3)", etc. You may also change these values by using the up/down arrow keys, dragging the corresponding point left or right, or dragging the corresponding line up or down. To move the center of the graph, simply drag any point to a new location. To label the x-axis in radians (i.e. multiples of pi), click on the graph and press "control-r". To switch back, simply press "control-r" again.
You can rotate the object about the center of the screen by dragging the mouse while holding down the SHIFT key.
f(x,y) = x^2+y^2
Software/Applets used on this page
This page uses an applet from David Little (Lecturer in the Mathematics Department, Penn State University, USA) and is used with his permission.
This question appears in the following syllabi:
| Syllabus | Module | Section | Topic | Exam Year |
|---|---|---|---|---|
| Methods (UK) | M10 | Multivariable calculus | 3D surfaces | - |
| OCR-MEI A-Level (UK - Pre-2017) | FP3 | Multivariable calculus | 3D surfaces | - |
| Universal (all site questions) | M | Multivariable calculus | 3D surfaces | - |
