Recall the definition for a curve C to be smooth: If r(t) represents a curve, then if r'(t) = 0 on an interval t = I, then r(t) is smooth on that interval. Example 1: Parameterizing a Piece-wise Smooth Curve - - Find a piece-wise smooth parameterization for the graph of the curve C (as shown). X Z 1 C = C₁ + C₂ + C 3 (1, 2, 1) (0, 0, 0) C₁ (1, 2, 0) C 3 (0, 2, 0) C₂ y

Recall the definition for a curve C to be smooth: If r(t) represents a curve, then if r'(t) = 0 on an interval t = I, then r(t) is smooth on that interval. Example 1: Parameterizing a Piece-wise Smooth Curve - - Find a piece-wise smooth parameterization for the graph of the curve C (as shown). X Z 1 C = C₁ + C₂ + C 3 (1, 2, 1) (0, 0, 0) C₁ (1, 2, 0) C 3 (0, 2, 0) C₂ y

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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