## Math 200 3D Interactive Graphics

Note: You will need the newest version of Java 7 to view the following graphs. Tablets and smartphones are not supported.

### Section 12.4

Lines in 3D space

### Section 12.6

Hyperbolic paraboloid

Hyperboloid of one/two sheets and cone

### Section 14.1

Level curves of $$f(x,y) = \dfrac{1}{\sqrt{1-x^2-y^2}}$$

Level surfaces of $$f(x,y,z) = x^2+y^2-z^2$$

A function that has no limit at (0,0) but the limit exists along all traces through (0,0)

### Section 14.4

Tangent plane

A function that is non-differentiable at (0,0) but all traces through (0,0) are differentiable

### Section 14.6

Directional derivative and the gradient vector

### Section 14.7

Critical Points of a differential function

Absolute maxima and minima on a closed and bounded region

### Section 14.8

Absolute extrema of a function on a constraint set (2 variables)

Absolute extrema of a function on a constraint set (3 variables)

Absolute extrema of a function with two constraints

Polar function

### Section 15.7

Integration limits of a triple integral

By Joseph Lo, CWSEI, Department of Mathematics, University of British Columbia