James Stewart《微积分》笔记·10.1 Curves Defined by Parametric Equations(由参数方程定义的曲线) JackLin Lūcem sequor.7 人赞同了该文章 一、参数方程 设x 和y 均由关于第三个变量(参数) t 的函数给出,即 x=f(t), y=g(t) . 则上述方程被称作参数方程. 各个 t 的值确定一个可以在坐标平面内绘制的...
Curves Defined by Parametric Equations 曲线定义的参数方程 有的时候,有些曲线不符合 the Vertical Line Test 竖线检测 例如: 虽然不能写成 y = f(x) 但是,他们都是 时间 t 的 函数: 假如x,y都是 第3个参数 t 的函数, 即: x = f(t) , y = g(t) 被叫做 parametric equations 参数方程 这个时候...
(t)]. PARAMETRICEQUATIONS Othercurves—suchasthecardioid—have theirmostconvenientdescriptionwhen weuseanewcoordinatesystem,called thepolarcoordinatesystem. POLARCOORDINATES 10.1 CurvesDefinedby ParametricEquations Inthissection,wewilllearnabout: Parametricequationsandgeneratingtheircurves. PARAMETRICEQUATIONS&POLAR...
百度试题 结果1 题目 Draw the curves given by these parametric equations: x=sec ^2t-3, \ y=2sin t+1, \ - (π )4≤ t≤ π2 相关知识点: 试题来源: 解析 反馈 收藏
B. Circles. C. Curves that are difficult to represent using traditional Cartesian equations. D. Parabolas. 相关知识点: 试题来源: 解析 C。解析:文中提到“Some curves, such as the cycloid, are more easily described using parametric equations.”,一些难以用传统笛卡尔方程表示的曲线更容易用参数方程...
A curve is defined by the parametric equations x = e^2t - t, y = e^4t - 4t. Find dy/dx. Find a vector parametrization of the curve x=-4z^2 in the xz-plane. Two curves are said to be orthogonal if their tangent lines are perpendicular at each point of intersection of ...
Alternatively, conic curves are defined by parametric equations and this form of definition is intuitive. However, often curves defined in this way are converted to their equivalent implicit format and Bresenham-Pitteway midpoint algorithms are applied to render them. Based on the truncated Taylor ...
and a space curve by two equations F(x, y, z) = 0 G(x, y, z) = 0 By a (plane) algebraic curve we mean a curve defined by an equation F(x,y) = 0 where F(x, y) is an entire algebraic function, that is, a polynomial of some degree n≥ 1. Two polynomials F1(x, y)...
For example, consider a curve defined by the equations x(t)=t2 and y(t)=2t. To graph this curve, we can first begin to determine its general shape. An easy way to do this is to get arbitrary values of t, and see what (x,y) coordinates we obtain from those values of t. For ...
Like they give you a region in a plane defined by some kind of inequalities such as (x-2y^2 greater than or equal to 0), (1-x- IyI greater than or equal to 0) and... sobadin Thread Nov 19, 2008 Tags Areas Curves Replies: 1 Forum: Calculus N Bezier curves and equally ...