Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 10.5, Problem 31PS
To determine
To find:the value of
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Please help. This problem involves showing that a set of functions are linearly dependent. Thank you.
4. The vector functions r(t) = (t, t2, t) and s(t)3D (sin t, sin 2t, sin 3t) intersect at the origin. What is
the angle between them at the origin? (You do not need to know the exact solution. Represent the
answer as some inverse trigonometric function value.)
Which of the following vector-valued functions represent the same graph? (Select all that apply.)
r(t) = (-5 cos(t) + 4)i + (6 sin(t) + 5)j + 4k
r(t) = 4i + (-5 cos(t) + 4)j + (6 sin(t) + 5)k
r(t) = (5 cos(t) — 4)i + (−6 sin(t) – 5)j + 4k
-
✔r(t) = (-5 cos(2t) + 4)i + (6 sin(2t) + 5)j + 4k
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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