Consider the curve C with parametrisation where t E R. r(t) = cos(5t) cosh(t) -i+ sin(5t) cosh(t) -j+tanh(t)k, (a) Show that C lies on the surface of the sphere described by the equation x² + y² + z² = 1. (b) Find the vector equation of the line L that is tangent to C at the point r(0).

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