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Find the Curvature of the Space Curve κ=sinh2t\kappa = \sinh ^ { 2 } t

Question 23

Multiple Choice

Find the curvature of the space curve.
-r(t) = ti + (sinh t) j + (cosh t) k


A) κ=sinh2t\kappa = \sinh ^ { 2 } t
B) κ=cosh2t\kappa = \cosh ^ { 2 } t
C) κ=tanh2t2\kappa = \frac { \tanh ^ { 2 } \mathrm { t } } { 2 }
D) κ=sech2t2\kappa = \frac { \operatorname { sech } ^ { 2 } \mathrm { t } } { 2 }

Correct Answer:

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