Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Question
Chapter 10, Problem 52SP
To determine
To find: the tangential, normal components of acceleration,and the curvature
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2. The parametric equations of a curve is x = 3 sint, y = 3 cost and z= = 4.
(a) Sketch the curve r(t) for 0 ≤ t ≤ 2π.
(b) Find the followings when t = 0:
(i) The unit tangent vector, T.
(ii) The principal unit normal, N.
2. The parametric equations of a curve is x = 3 sin t, y = 3 cost and z = 4.
(a) Sketch the curve r(t) for 0
4. Consider the following curve
7 (t) = (-2 sin(t), – V5, 2 cos(t))
(a)
Find the unit tangent vector.
(b) -
Find the curvature.
Chapter 10 Solutions
Calculus
Ch. 10.1 - Prob. 1PSCh. 10.1 - Prob. 2PSCh. 10.1 - Prob. 3PSCh. 10.1 - Prob. 4PSCh. 10.1 - Prob. 5PSCh. 10.1 - Prob. 6PSCh. 10.1 - Prob. 7PSCh. 10.1 - Prob. 8PSCh. 10.1 - Prob. 9PSCh. 10.1 - Prob. 10PS
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