Determine the equation of the tangent line to the curve

Reference no: EM131175565

Let f(x) = x3 - 2x - 7,

(a) show that a root of this function lies in the interval (1, 3),

(b) Determine the equation of the tangent line to this curve at x =2 and determine its x-intercept.

(c) Determine the equation of the tangent line to the curve at the x-intercept found in (b) and determine the x-intercept of this tangent line.

(d) Determine the equation of the tangent line to the curve at the x-intercept found in (c) and its x-intercept.

(e) Continue the above and produce a root of the given function to six decimal places.

Reference no: EM131175565

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