Consider the following scenario. Suppose you start at the point (0, 0, 8) at t = 0 and move 10 units along the curve x = 8 sin(t), y = 6t, z = 8 cos(t) in the positive direction. Using the given parametric equations, give the corresponding vector equation r(t). r(t) = Find r'(t) and Ir'(t)\. r'(t) = |r'(t) = Find your location after moving along the curve as described. (x, y, z)=(

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Consider the following scenario.
Suppose you start at the point (0, 0, 8) at t = 0 and move 10 units along the curve x = 8 sin(t), y = 6t, z = 8 cos(t) in the positive direction.
Using the given parametric equations, give the corresponding vector equation r(t).
r(t) =
Find r'(t) and Ir'(t)l.
r'(t) =
Ir'(t)\
=
=
Find your location after moving along the curve as described.
(x, y, z)=
Transcribed Image Text:Consider the following scenario. Suppose you start at the point (0, 0, 8) at t = 0 and move 10 units along the curve x = 8 sin(t), y = 6t, z = 8 cos(t) in the positive direction. Using the given parametric equations, give the corresponding vector equation r(t). r(t) = Find r'(t) and Ir'(t)l. r'(t) = Ir'(t)\ = = Find your location after moving along the curve as described. (x, y, z)=
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