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Problem. Consider the helix R(t) = cos(2t)î + sin(2t)ĵ + 4tk (a) Compute R'(t) and R"(t) (b) Comnute the curvature of RG) at every point t.

Problem. Consider the helix R(t) = cos(2t)î + sin(2t)ĵ + 4tk (a) Compute R'(t) and R"(t) (b) Comnute the curvature of RG) at every point t.

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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 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
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
Expert Solution
Step 1

(a)

Given:

The equation of helix is R^t=cos2ti^sin2tj^+4tk^.

Introduction:

The curvature measures how fast a curve is changing direction at a given point.

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