1.f(x) = 2x + a) Find the slope of the tangent line to f (x) at th...

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1.f(x) = 2x + a) Find the slope of the tangent line to f (x) at the point (4,12) b) Find the average rate of change of f(x) over the interval [4,24]. c) Would you expect your answer to part b to be close to your answer to part a? Justify your response. 2. F(x) = 3X if x <0 2x if x 0 a) Evaluate lim F(x) x-5 b) Find F' (-4) c) Evaluate lim F(x) x->0 d) Does F (0) exist? Justify your response. 3. x2 + $ 10 + xy = 6 6 a) Find dx b) Find the equation of the tangent line to this curve at the point (0,6) 4. a) Find W'(x) b) Is the slope of the tangent line to W(x) ever horizontal? Justify your response with calculus.

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