Student's Solution and Survival Manual for Calculus
7th Edition
ISBN: 9781524934040
Author: STRAUSS MONTY J, TODA MAGDALENA DANIELE, SMITH KARL J
Publisher: Kendall Hunt Publishing
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Chapter 10.2, Problem 25PS
To determine
To calculate: the parametric equations for the tangent line is to be determined
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1. Suppose that r(t) =
(3 cos(3t) · t, 3 sin(3t), 5t).
a. Determine the velocity, the acceleration and the speed for t = 1/2.
b. Determine whether the angle between the velocity vector and the
acceleration vector for t = /2 is right, acute or obtuse.
c. Find the vector equation of the tangent to the trajectory of r for
t = T/2.
6. Find the parametric equations of the line tangent to the curve C defined by the vector equation
j() = (V2 sin t)t – (cos 2t)J + 4tk
at the point where t =4. What is the symmetric form of this line?
. Find the vector equation of the tangent line to 7(t) = 2 (e-5) In tit tan- tj+;
the point where t = 1.
kat
cos(t )
1
Chapter 10 Solutions
Student's Solution and Survival Manual for 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
Ch. 10.1 - Prob. 11PSCh. 10.1 - Prob. 12PSCh. 10.1 - Prob. 13PSCh. 10.1 - Prob. 14PSCh. 10.1 - Prob. 15PSCh. 10.1 - Prob. 16PSCh. 10.1 - Prob. 17PSCh. 10.1 - Prob. 18PSCh. 10.1 - Prob. 19PSCh. 10.1 - Prob. 20PSCh. 10.1 - Prob. 21PSCh. 10.1 - Prob. 22PSCh. 10.1 - Prob. 23PSCh. 10.1 - Prob. 24PSCh. 10.1 - Prob. 25PSCh. 10.1 - Prob. 26PSCh. 10.1 - Prob. 27PSCh. 10.1 - Prob. 28PSCh. 10.1 - Prob. 29PSCh. 10.1 - Prob. 30PSCh. 10.1 - Prob. 31PSCh. 10.1 - Prob. 32PSCh. 10.1 - Prob. 33PSCh. 10.1 - Prob. 34PSCh. 10.1 - Prob. 35PSCh. 10.1 - Prob. 36PSCh. 10.1 - Prob. 37PSCh. 10.1 - Prob. 38PSCh. 10.1 - Prob. 39PSCh. 10.1 - Prob. 40PSCh. 10.1 - Prob. 41PSCh. 10.1 - Prob. 42PSCh. 10.1 - Prob. 43PSCh. 10.1 - Prob. 44PSCh. 10.1 - Prob. 45PSCh. 10.1 - Prob. 46PSCh. 10.1 - Prob. 47PSCh. 10.1 - Prob. 48PSCh. 10.1 - Prob. 49PSCh. 10.1 - Prob. 50PSCh. 10.1 - Prob. 51PSCh. 10.1 - Prob. 52PSCh. 10.1 - Prob. 53PSCh. 10.1 - Prob. 54PSCh. 10.1 - Prob. 55PSCh. 10.1 - Prob. 56PSCh. 10.1 - Prob. 57PSCh. 10.1 - Prob. 58PSCh. 10.1 - 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Prob. 48PSCh. 10.2 - Prob. 49PSCh. 10.2 - Prob. 50PSCh. 10.2 - Prob. 51PSCh. 10.2 - Prob. 52PSCh. 10.2 - Prob. 53PSCh. 10.2 - Prob. 54PSCh. 10.2 - Prob. 55PSCh. 10.2 - Prob. 56PSCh. 10.2 - Prob. 57PSCh. 10.2 - Prob. 58PSCh. 10.2 - Prob. 59PSCh. 10.2 - Prob. 60PSCh. 10.3 - Prob. 1PSCh. 10.3 - Prob. 2PSCh. 10.3 - Prob. 3PSCh. 10.3 - Prob. 4PSCh. 10.3 - Prob. 5PSCh. 10.3 - Prob. 6PSCh. 10.3 - Prob. 7PSCh. 10.3 - Prob. 8PSCh. 10.3 - Prob. 9PSCh. 10.3 - Prob. 10PSCh. 10.3 - Prob. 11PSCh. 10.3 - Prob. 12PSCh. 10.3 - Prob. 13PSCh. 10.3 - Prob. 14PSCh. 10.3 - Prob. 15PSCh. 10.3 - Prob. 16PSCh. 10.3 - Prob. 17PSCh. 10.3 - Prob. 18PSCh. 10.3 - Prob. 19PSCh. 10.3 - Prob. 20PSCh. 10.3 - Prob. 21PSCh. 10.3 - Prob. 22PSCh. 10.3 - Prob. 23PSCh. 10.3 - Prob. 24PSCh. 10.3 - Prob. 25PSCh. 10.3 - Prob. 26PSCh. 10.3 - Prob. 27PSCh. 10.3 - Prob. 28PSCh. 10.3 - Prob. 29PSCh. 10.3 - Prob. 30PSCh. 10.3 - Prob. 31PSCh. 10.3 - Prob. 32PSCh. 10.3 - Prob. 33PSCh. 10.3 - Prob. 34PSCh. 10.3 - Prob. 35PSCh. 10.3 - Prob. 36PSCh. 10.3 - Prob. 37PSCh. 10.3 - Prob. 38PSCh. 10.3 - Prob. 39PSCh. 10.3 - Prob. 40PSCh. 10.3 - Prob. 41PSCh. 10.3 - Prob. 42PSCh. 10.3 - Prob. 43PSCh. 10.3 - Prob. 44PSCh. 10.3 - Prob. 45PSCh. 10.3 - Prob. 46PSCh. 10.3 - Prob. 47PSCh. 10.3 - Prob. 48PSCh. 10.3 - Prob. 49PSCh. 10.3 - Prob. 50PSCh. 10.3 - Prob. 51PSCh. 10.3 - Prob. 52PSCh. 10.3 - Prob. 53PSCh. 10.3 - Prob. 54PSCh. 10.3 - Prob. 55PSCh. 10.3 - Prob. 56PSCh. 10.3 - Prob. 57PSCh. 10.3 - Prob. 58PSCh. 10.3 - Prob. 59PSCh. 10.3 - Prob. 60PSCh. 10.4 - Prob. 1PSCh. 10.4 - Prob. 2PSCh. 10.4 - Prob. 3PSCh. 10.4 - Prob. 4PSCh. 10.4 - Prob. 5PSCh. 10.4 - Prob. 6PSCh. 10.4 - Prob. 7PSCh. 10.4 - Prob. 8PSCh. 10.4 - Prob. 9PSCh. 10.4 - Prob. 10PSCh. 10.4 - Prob. 11PSCh. 10.4 - Prob. 12PSCh. 10.4 - Prob. 13PSCh. 10.4 - Prob. 14PSCh. 10.4 - Prob. 15PSCh. 10.4 - Prob. 16PSCh. 10.4 - Prob. 17PSCh. 10.4 - Prob. 18PSCh. 10.4 - Prob. 19PSCh. 10.4 - Prob. 20PSCh. 10.4 - Prob. 21PSCh. 10.4 - Prob. 22PSCh. 10.4 - Prob. 23PSCh. 10.4 - Prob. 24PSCh. 10.4 - Prob. 25PSCh. 10.4 - Prob. 26PSCh. 10.4 - Prob. 27PSCh. 10.4 - Prob. 28PSCh. 10.4 - Prob. 29PSCh. 10.4 - Prob. 30PSCh. 10.4 - Prob. 31PSCh. 10.4 - Prob. 32PSCh. 10.4 - Prob. 33PSCh. 10.4 - Prob. 34PSCh. 10.4 - Prob. 35PSCh. 10.4 - Prob. 36PSCh. 10.4 - Prob. 37PSCh. 10.4 - Prob. 38PSCh. 10.4 - Prob. 39PSCh. 10.4 - Prob. 40PSCh. 10.4 - Prob. 41PSCh. 10.4 - Prob. 42PSCh. 10.4 - Prob. 43PSCh. 10.4 - Prob. 44PSCh. 10.4 - Prob. 45PSCh. 10.4 - Prob. 46PSCh. 10.4 - Prob. 47PSCh. 10.4 - Prob. 48PSCh. 10.4 - Prob. 49PSCh. 10.4 - Prob. 50PSCh. 10.4 - Prob. 51PSCh. 10.4 - Prob. 52PSCh. 10.4 - Prob. 53PSCh. 10.4 - Prob. 54PSCh. 10.4 - Prob. 55PSCh. 10.4 - Prob. 56PSCh. 10.4 - Prob. 57PSCh. 10.4 - Prob. 58PSCh. 10.4 - Prob. 59PSCh. 10.4 - Prob. 60PSCh. 10.5 - Prob. 1PSCh. 10.5 - Prob. 2PSCh. 10.5 - Prob. 3PSCh. 10.5 - Prob. 4PSCh. 10.5 - Prob. 5PSCh. 10.5 - Prob. 6PSCh. 10.5 - Prob. 7PSCh. 10.5 - Prob. 8PSCh. 10.5 - Prob. 9PSCh. 10.5 - Prob. 10PSCh. 10.5 - Prob. 11PSCh. 10.5 - Prob. 12PSCh. 10.5 - Prob. 13PSCh. 10.5 - Prob. 14PSCh. 10.5 - Prob. 15PSCh. 10.5 - Prob. 16PSCh. 10.5 - Prob. 17PSCh. 10.5 - Prob. 18PSCh. 10.5 - Prob. 19PSCh. 10.5 - Prob. 20PSCh. 10.5 - Prob. 21PSCh. 10.5 - Prob. 22PSCh. 10.5 - Prob. 23PSCh. 10.5 - Prob. 24PSCh. 10.5 - Prob. 25PSCh. 10.5 - Prob. 26PSCh. 10.5 - Prob. 27PSCh. 10.5 - Prob. 28PSCh. 10.5 - Prob. 29PSCh. 10.5 - Prob. 30PSCh. 10.5 - Prob. 31PSCh. 10.5 - Prob. 32PSCh. 10.5 - Prob. 33PSCh. 10.5 - Prob. 34PSCh. 10.5 - Prob. 35PSCh. 10.5 - Prob. 36PSCh. 10.5 - Prob. 37PSCh. 10.5 - Prob. 38PSCh. 10.5 - Prob. 39PSCh. 10.5 - Prob. 40PSCh. 10.5 - Prob. 41PSCh. 10.5 - Prob. 42PSCh. 10.5 - Prob. 43PSCh. 10.5 - Prob. 44PSCh. 10.5 - Prob. 45PSCh. 10.5 - Prob. 46PSCh. 10.5 - Prob. 47PSCh. 10.5 - Prob. 48PSCh. 10.5 - Prob. 49PSCh. 10.5 - Prob. 50PSCh. 10.5 - Prob. 51PSCh. 10.5 - Prob. 52PSCh. 10.5 - Prob. 53PSCh. 10.5 - Prob. 54PSCh. 10.5 - Prob. 55PSCh. 10.5 - Prob. 56PSCh. 10.5 - Prob. 57PSCh. 10.5 - Prob. 58PSCh. 10.5 - Prob. 59PSCh. 10.5 - Prob. 60PSCh. 10 - Prob. 1PECh. 10 - Prob. 2PECh. 10 - Prob. 3PECh. 10 - Prob. 4PECh. 10 - Prob. 5PECh. 10 - Prob. 6PECh. 10 - Prob. 7PECh. 10 - Prob. 8PECh. 10 - Prob. 9PECh. 10 - Prob. 10PECh. 10 - Prob. 11PECh. 10 - Prob. 12PECh. 10 - Prob. 13PECh. 10 - Prob. 14PECh. 10 - Prob. 15PECh. 10 - Prob. 16PECh. 10 - Prob. 17PECh. 10 - Prob. 18PECh. 10 - Prob. 19PECh. 10 - Prob. 20PECh. 10 - Prob. 21PECh. 10 - Prob. 22PECh. 10 - Prob. 23PECh. 10 - Prob. 24PECh. 10 - Prob. 25PECh. 10 - Prob. 26PECh. 10 - Prob. 27PECh. 10 - Prob. 28PECh. 10 - Prob. 29PECh. 10 - Prob. 30PECh. 10 - Prob. 1SPCh. 10 - Prob. 2SPCh. 10 - Prob. 3SPCh. 10 - Prob. 4SPCh. 10 - Prob. 5SPCh. 10 - Prob. 6SPCh. 10 - Prob. 7SPCh. 10 - Prob. 8SPCh. 10 - Prob. 9SPCh. 10 - Prob. 10SPCh. 10 - Prob. 11SPCh. 10 - Prob. 12SPCh. 10 - Prob. 13SPCh. 10 - Prob. 14SPCh. 10 - Prob. 15SPCh. 10 - Prob. 16SPCh. 10 - Prob. 17SPCh. 10 - Prob. 18SPCh. 10 - Prob. 19SPCh. 10 - Prob. 20SPCh. 10 - Prob. 21SPCh. 10 - Prob. 22SPCh. 10 - Prob. 23SPCh. 10 - Prob. 24SPCh. 10 - Prob. 25SPCh. 10 - Prob. 26SPCh. 10 - 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