1. Let 7(t) = (2 cos(2t), 2 sin(2t), 3t). %3D (a) Find 7"(t). ce) = <-4 sin(2+),-4sin(ze), 8> (b) Find T(t) and simplify completely. (c) Find the tangent line to the curve generate by at the point (2,0,0). (d) Give a rough sketch of r.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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Vector Value Functions please help!! Show all work and fully simplify
1:02 1
ull LTE
1. Let 7(t) = (2 cos(2t) , 2 sin(2t), 3t).
(a) Find 7"(t).
CE) = <-4 sin (24),-4sin(ze), 3>
(b) Find T'(t) and simplify completely.
(c) Find the tangent line to the curve generate by 7 at the point (2, 0, 0).
(d) Give a rough sketch of F.
Transcribed Image Text:1:02 1 ull LTE 1. Let 7(t) = (2 cos(2t) , 2 sin(2t), 3t). (a) Find 7"(t). CE) = <-4 sin (24),-4sin(ze), 3> (b) Find T'(t) and simplify completely. (c) Find the tangent line to the curve generate by 7 at the point (2, 0, 0). (d) Give a rough sketch of F.
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