the vector function r(t)=< 5 sin t, 3 sec t > , represents the position of a particle at time t. find the velocity v (t) and acceleration a (t).

I don't know how to solve it without the t given. Please help

2 answers

v(t) = dr/dt = <5cost, 3sect tant>
a(t) = dv/dt = <-5sint, 3sect(2sec^2t-1)>

just do normal derivatives of trig functions
Find the area of the shape shown below.

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