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You are looking for the parallel curves to a given curve. The link shows you how to obtain these curves for curves given parametrically.
Sep 12, 2020 · Two curves are parallel if at any point you draw a line perpendicular to the tangent line and passes through the point of tangency (the normal line), the normal lines are all parallel, at any point along the curve, and the distance between the line's points of intersections with the two curves are all the same.
Jul 5, 2023 · In this section we will introduce parametric equations and parametric curves (i.e. graphs of parametric equations). We will graph several sets of parametric equations and discuss how to eliminate the parameter to get an algebraic equation which will often help with the graphing process.
Jul 5, 2022 · You have defined that two functions are orthogonal iff the integral of their product is zero. That can define an inner product and a norm, if some conditions are met. E.g. for continuous functions from R to R, integral of the squared function will be null iff the function is null.
Nov 16, 2022 · In this section we will discuss using the Comparison Test and Limit Comparison Tests to determine if an infinite series converges or diverges. In order to use either test the terms of the infinite series must be positive. Proofs for both tests are also given.
Dec 29, 2020 · Given a curve defined parametrically, how do we find the slopes of tangent lines? Can we determine concavity? We explore these concepts and more in the next section.
Nov 16, 2022 · In this section we will give a quick review of some important topics about functions of several variables. In particular we will discuss finding the domain of a function of several variables as well as level curves, level surfaces and traces.
