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1. The figure shows a curve C given by a vector function r(t). (a) Draw the vectors r(4.5) - r(4) and r(4.2) - r(4). (b) Draw the vectors r(4.5) - r(4) 0.5 bas and (c) Write expressions for r'(4) and the unit tangent vector T(4). (d) Draw the vector T(4). 1 104 r(4.2) - r(4) 0.2 CR r(4.5) 2001 Q r(4.2) r(4) P X A clum 985

1. The figure shows a curve C given by a vector function r(t). (a) Draw the vectors r(4.5) - r(4) and r(4.2) - r(4). (b) Draw the vectors r(4.5) - r(4) 0.5 bas and (c) Write expressions for r'(4) and the unit tangent vector T(4). (d) Draw the vector T(4). 1 104 r(4.2) - r(4) 0.2 CR r(4.5) 2001 Q r(4.2) r(4) P X A clum 985

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1. The figure shows a curve C given by a vector function r(t). (a) Draw the vectors r(4.5) - r(4) and r(4.2) - r(4). (b) Draw the vectors r(4.5) – r(4) 0.5 Cum m (c) Write expressions for r'(4) and the unit tangent vector T(4). (d) Draw the vector T(4). 108 201 YA 0 and OD C r(4.5) r(4.2) r(4) 1 r(4.2) - r(4) 0.2 r(1.1) - r(1) 0.1 R P Q X 2. (a) Make a large sketch of the curve described by the vector function r(t) = (t², t), 0 ≤ t ≤ 2, and draw the vectors r(1), r(1.1), and r(1.1) - r(1). (b) Draw the vector r'(1) starting at (1, 1), and compare it with the vector Explain why these vectors are so close to each other in length and direction. 3-8 (a) Sketch the plane curve with the given vector equation. (b) Find r'(t). 13. 14. 15. 16. 70% Blogs 17-2 given 17. r 18. r 19. r 20. r 1160 21. If 22. If 23-26 with th 23. x 24. x = 25. x = 26. x = 27. Fin inte at t 28. Fin
Transcribed Image Text:1. The figure shows a curve C given by a vector function r(t). (a) Draw the vectors r(4.5) - r(4) and r(4.2) - r(4). (b) Draw the vectors r(4.5) – r(4) 0.5 Cum m (c) Write expressions for r'(4) and the unit tangent vector T(4). (d) Draw the vector T(4). 108 201 YA 0 and OD C r(4.5) r(4.2) r(4) 1 r(4.2) - r(4) 0.2 r(1.1) - r(1) 0.1 R P Q X 2. (a) Make a large sketch of the curve described by the vector function r(t) = (t², t), 0 ≤ t ≤ 2, and draw the vectors r(1), r(1.1), and r(1.1) - r(1). (b) Draw the vector r'(1) starting at (1, 1), and compare it with the vector Explain why these vectors are so close to each other in length and direction. 3-8 (a) Sketch the plane curve with the given vector equation. (b) Find r'(t). 13. 14. 15. 16. 70% Blogs 17-2 given 17. r 18. r 19. r 20. r 1160 21. If 22. If 23-26 with th 23. x 24. x = 25. x = 26. x = 27. Fin inte at t 28. Fin
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