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  3. let f(x) = 3x-2sqrt(x) (a) find the equation of th

Let f(x) = 3x-2sqrt(x) (a) Find the equation of the secant line through the (4, f(4)) and...

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Basic Math

Let f(x) = 3x-2sqrt(x)

(a) Find the equation of the secant line through the (4, f(4))and (9, f(9))

(b) Show that there is only one number c in the interval (4,9)that satisfies the conclusion of the Mean-Value Theorem for thesecant line in part (a).

(c) Find the equation of the tangent line to the graph of f atthe point (c, f(c))

(d) Use a graphing utility to graph the secant line in part (a),and the tangent line in part (c) in the same coordinate system, andconfirm that the two lines are parallel

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