Here are the formulae by which r and 0 are changing: r(t) = 5t +2, 0(t)...

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Here are the formulae by which r and 0 are changing: r(t) = 5t +2, 0(t) = T 6 - 4 Recall that the area of a sector in a circle is given by the formula 1r20 where the central angle is measured in radians. (a) (2 marks) What is the initial area of this sector? That is, what is A when t = 0? (b) (3 marks) How fast is the area A changing at t = 1? Here are the formulae by which r and 0 are changing: r(t) = 5t +2, 0(t) = T 6 - 4 Recall that the area of a sector in a circle is given by the formula 1r20 where the central angle is measured in radians. (a) (2 marks) What is the initial area of this sector? That is, what is A when t = 0? (b) (3 marks) How fast is the area A changing at t = 1?