1 answer

Use this theorem to find the curvature. r(t) = 6t i + 8 sin(t) j + 8 cos(t) k

Question:

Use this theorem to find the curvature.

r(t) = 6t i + 8 sin(t) j + 8 cos(t) k


Answers

Consider the curve (t)-6ti+8sint j+8cost k r ×r The curvature of curve is given by Differentiate r(t) with respect to t as shDifferentiate r(t) with respect to t as shown below r-(6) i+(8cost) j 8sint) k -0i-8sin t j- 8cost k Now find the cross produFinally calculate curvature as shown below ド『 80 (10) 80 1000 2 25 2 Therefore, the curvature is_ 25

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