Problem. Consider the helix R(t) = cos(2t)î + sin(2t)ĵ + 4tk (a) Compute R'(t) and R"(t) (b) Compute the curvature of R(t) at every point t. (c) Find an equation for the plane containing the vectors R'(t) and R"(t) and passing through the point R(t), at every point t. (Hint: Your equation for the plane will involve t's - the plane changes as t varies.).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Ř(t) = cos(2t)â + sin(2t)j + 4tk
%3D
Problem. Consider the helix
(c) Find an equation for the plane containing the vectors R'(t) and R"(t) and passing through the point R(t), at
every point t. (Hint: Your equation for the plane will involve t's
(a) Compute R'(t) and R"(t)
(b) Compute the curvature of R(t) at every point t.
the plane changes as t varies.).
P Type here to search
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Transcribed Image Text:Ř(t) = cos(2t)â + sin(2t)j + 4tk %3D Problem. Consider the helix (c) Find an equation for the plane containing the vectors R'(t) and R"(t) and passing through the point R(t), at every point t. (Hint: Your equation for the plane will involve t's (a) Compute R'(t) and R"(t) (b) Compute the curvature of R(t) at every point t. the plane changes as t varies.). P Type here to search LG Plese TEXAS TECH UNIVE MIsdiAoman Mender FSC wwww.fe. MIX from F9C C119908 IST AUDIO 29 46012 1Hem No. 46012 Norcom, Ino Griffin, GA 30224 www.norcominc.coo Made in Brazil nu לnat
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