MAT 137, Professor Swift

# MAT 137, Calculus II

## Prof. Swift, Spring 2001

This figure shows the orbit of a hypothetical comet around the sun. The orbit is an ellipse with eccentricity 1/2. The period of the orbit is 12 years, and the dots show the position at each year. The velocity vector is blue and the acceleration vector is green. Click on the figure to see an animation.

Visual aids for section 10.3.

The following graph shows the space curve described by the vector function r(t) = < cos(t), sin(t), 1 >. The position vector of the moving point is blue in the movie.

The following graph shows the space curve described by the vector function r(t) = < cos(t), sin(t), sin(3t) >. Here the moving point is shown as a box, and the position vector from the origin is not shown. Click on the figure to see the movie.

The following graph shows the helix described by the vector function r(t) = < cos(t), sin(t), t/(2 pi) >. Click on the figure to see the movie.

The following graph shows the first few Taylor Polynomials which approximate the function f(x) = cos(x). Click on the figure to see an animation.

The following graph shows the first few Taylor Polynomials which approximate the function f(x) = ln(1+x). Click on the figure to see an animation.

Here's an egg. See it spin.