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Defining and Differentiating Parametric Equations

Benjamin Wright

Benjamin Wright

7 min read

Study Guide Overview

This study guide covers parametric equations, polar coordinates, and vector-valued functions. It focuses on parametric equations and their differentiation. Key concepts include understanding parametric equations as functions of a dummy variable (like time), calculating the derivative (dy/dx) as (dy/dt)/(dx/dt), and finding the slope of tangent lines to parametric curves at specific points.

Question 1 of 9

Which of the following represents a set of parametric equations? 🤔

y=2x+3y = 2x + 3

x2+y2=9x^2 + y^2 = 9

x(t)=t2x(t) = t^2, y(t)=4t1y(t) = 4t - 1

f(x)=x32xf(x) = x^3 - 2x