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6) Find the average rate of change of the function over the given interval or intervals. f(x) = X3 + 1 a. [2, 3] -g(x)=x2-2x 7) using the general formula of average rate of change, find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P y = x2-2x-3, P(2,-3) 8) Find the limits 2 3x-l0 lim a) b) lim + 12 4 c) inm x-2 d) 2 y+ 2 lim y-2y2 + 5y + 6 lim 1 + x sin x g) h) lim

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