Most statistical analysis programs have a stepwise regression capability. We just enter all of the terms of the polynomial models and let the software choose which terms best describe the …

When working in two-dimensional (2D) or three-dimensional (3D) spaces we use ordered pairs or ordered triples, respectively, to denote the location of a point in those spaces.

Consequently, knowing how to compute the genus and rational parameterization of algebraic plane curves from sections 2, 3 and 4, yields an algorithm to compute the genus of the space …

Nov 16, 2022 · We’ll start the chapter off with a fairly short discussion introducing the 3-D coordinate system and the conventions that we’ll be using. We will also take a brief look at …

Calculate curvature and torsion directly from arbitrary parametric equations. In fact, with the help of the chain rule, one doesn’t need to always first obtain the arc length parametrization to …

Dec 17, 2023 · Carrying out the derivatives and substitutions for Lagrange’s equations can be tedious. To help in avoiding little errors in applying Lagrange’s equations, software like Maple …

3.1 Transformation of Co-Ordinates Given the rectangular co-ordinates x , y , z , we can define a new co-ordinate system by the following equations expressible as:

Nov 16, 2022 · Here is a set of practice problems to accompany the The 3-D Coordinate System section of the 3-Dimensional Space chapter of the notes for Paul Dawkins Calculus II course …

Here we will discuss the standard Cartesian coordinate systems in the plane and in three-dimensional space. We assume that you are familiar with the standard (x, y) (x, y) Cartesian …

In this lecture a general method to express any variable and expression in an arbitrary curvilinear coordinate system will be introduced and explained. We will be mainly interested to nd out gen …