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(Solved): b) Given \( f(x)=x^{2}+1 \). Find: i) ( 2 points) the average value of \( f \) over \( [0,2] \) ii) ...
b) Given \( f(x)=x^{2}+1 \). Find: i) ( 2 points) the average value of \( f \) over \( [0,2] \) ii) (3 points) all values \( c \) that satisfy the Mean Value Theorem for Integrals for \( f \) over \( [0,2] \).