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Arc length: Find the length of the space curve with vector equation r(t) =(4, 3cost, 3 sint ) over [ 0, 2,7]

Arc length: Find the length of the space curve with vector equation r(t) =(4, 3cost, 3 sint ) over [ 0, 2,7]

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Space Curves Arc length: Find the length of the space curve with vector equation Find vector functions for the intersection of two surfaces: F(1)=(21.1². Given ²(1)= (2x1,1²₁ - 4+²) TNB r(t) =(4t, 3 cost, 3sint) over 0, 27 y² x² 12 24 = 1 and y=x² (= ≥0) 4 4 Note: (t² + 2)² =² +4 1² +4 Find a unit tangent vector to " Find a unit normal vector to " Find a unit binormal vector to " Velocity, acceleration and curvature Find the velocity vector, the acceleration vector and the curvature of " Find the tangential and normal components of the acceleration.
Transcribed Image Text:Space Curves Arc length: Find the length of the space curve with vector equation Find vector functions for the intersection of two surfaces: F(1)=(21.1². Given ²(1)= (2x1,1²₁ - 4+²) TNB r(t) =(4t, 3 cost, 3sint) over 0, 27 y² x² 12 24 = 1 and y=x² (= ≥0) 4 4 Note: (t² + 2)² =² +4 1² +4 Find a unit tangent vector to " Find a unit normal vector to " Find a unit binormal vector to " Velocity, acceleration and curvature Find the velocity vector, the acceleration vector and the curvature of " Find the tangential and normal components of the acceleration.
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