[T] A curve C has parametric equations x=2 cost, y=2-2sint, 0stn. a) Find at the...

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[T] A curve C has parametric equations x=2 cost, y=2-2sin²t, 0≤st≤n. π a) Find at the point where t == dy dx 4 b) Find a Cartesian equation for C in the form y=f(x), -k≤x≤k, stating the value of the constant k. c) Write down the range of f(x) d) Sketch the graph of f(x). [T] A curve C has parametric equations x=2 cost, y=2-2sin²t, 0≤st≤n. π a) Find at the point where t == dy dx 4 b) Find a Cartesian equation for C in the form y=f(x), -k≤x≤k, stating the value of the constant k. c) Write down the range of f(x) d) Sketch the graph of f(x).