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The position of a particle at time t ∈ R is given by r(t) = (t...

The position of a particle at time t ∈ R is given by

r(t) = (t 2 , 1/3 t(t 2 − 3)).

Specify for what value of t the velocity vector is vertical and for what value of t the velocity vector is horizontal and at what points in the plane this occurs.

b) Let z = ln(x + ln(y)). Determine all second order partial derivatives to z.

Math   Calculus   
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