(a) Let r(t) = (√√t² – 1, e¹t, ln(2t — 4)). (i) Find the domain of r(t). (ii) Find lim3 r(t). (iii) Find r'(t).

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A: Given the function fx=4x2-2x-12 Domain of the function:- y=4x2-2x-12 x-1=0⇒ x=1 Domain x≠1 So,…

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