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John Kennedy
Mathematics Department
Santa Monica College
1900 Pico Blvd.
Santa Monica, CA 90405 or

The YFUNX program is designed to graph and analyze functions of the form Y=F(X). YFUNX can perform integration (numerically and graphically) by several different ways: lower, midpoint, and upper Riemann sums; Trapezoid and Simpson's rule; Gaussian quadrature and Romburg. This program will also calculate (numerically and graphically) arc length, extrema, volumes (by both disks and cylinders), surface area and the user can apply Newton's Method or the Bisection Method to find the zeroes. The user can also enter a Tangent/Normal/Graph trace mode in which they can move a tangent line, normal line or a point along the graph to study the variations of these quantities along the curve. At each point on the curve the tangent line equation (or normal) and the coordinates of the point of tangency (normality) are given. A tutorial file is provided.

(modified from yfunx.abs)
Download [112 KB].