1.

ii) Find real constants a, b so that the functionf(x)=\left\{\begin{array}{ll}{\sin x} & {\text { if } x \leq 0} \\ {x^{2}+a} & {\text { if } 0<x<1} \\ {b x+3} & {\text { if } 1 \leq x \leq 3} \\ {-3} & {\text { if } x>3}\end{array}\right.

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