x = V2. t? 1. Let C be the curve with parametric equations 3/2 where t e [0, +). 8 t + 3 1 Y = V2 8 (a) The point P 4 is on the curve C. Find the slope of the tangent line to C at P without 3 eliminating the parameter. (b) Find the length of the portion of the curve C that is traced from the point where t = 0 to the point where t = 1. (Note: The portion of the curve C that is described above is smooth.)
x = V2. t? 1. Let C be the curve with parametric equations 3/2 where t e [0, +). 8 t + 3 1 Y = V2 8 (a) The point P 4 is on the curve C. Find the slope of the tangent line to C at P without 3 eliminating the parameter. (b) Find the length of the portion of the curve C that is traced from the point where t = 0 to the point where t = 1. (Note: The portion of the curve C that is described above is smooth.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 53E
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