YFUNX

John Kennedy
Mathematics Department
Santa Monica College
1900 Pico Blvd.
Santa Monica, CA 90405
jkennedy@smc.edu or 71514:751@compuserve.com

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 jkyfunx.zip [112 KB]. 
