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The following r(t) = (3 sint, 4 cost) represents vector-valued function. i) ii) iii) By eliminating parameter t, show that its rectangular equation can be written 9 16 Ans: = 1. Find rand r I r'(t) = (3 cost,-4 sint) • (#) - (³1/², 2√²). * (=)- (³1/2² -2 √²) 3√2 2 4 Sketch the parametric curve with its orientation and indicate the position vec

The following r(t) = (3 sint, 4 cost) represents vector-valued function. i) ii) iii) By eliminating parameter t, show that its rectangular equation can be written 9 16 Ans: = 1. Find rand r I r'(t) = (3 cost,-4 sint) • (#) - (³1/², 2√²). * (=)- (³1/2² -2 √²) 3√2 2 4 Sketch the parametric curve with its orientation and indicate the position vec

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The following r(t)=(3 sint, 4 cost) represents vector-valued function. i) ii) iii) By eliminating parameter t, show that its rectangular equation can be written as x² v² + 9 16 Find r dr (7) Ans: = 1. and r' = r' (t) = (3 cost,-4 sint) • (²7) - (³1/²,2 √²). ~ (=) - (¹1/²₁-2₂√²) Sketch the parametric curve with its orientation and indicate the position vector and tangent vector at t = π 4 based on the answer in ii).
Transcribed Image Text:The following r(t)=(3 sint, 4 cost) represents vector-valued function. i) ii) iii) By eliminating parameter t, show that its rectangular equation can be written as x² v² + 9 16 Find r dr (7) Ans: = 1. and r' = r' (t) = (3 cost,-4 sint) • (²7) - (³1/²,2 √²). ~ (=) - (¹1/²₁-2₂√²) Sketch the parametric curve with its orientation and indicate the position vector and tangent vector at t = π 4 based on the answer in ii).
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