Explain why the following four statements ask for the same information: i) Find the roots of ƒ(x) = x3 - 3x - 1. ii) Find the x-coordinates of the intersections of the curve y = x3 with the line y = 3x + 1. iii) Find the x-coordinates of the points where the curve y = x3 - 3x crosses the horizontal line y = 1. iv) Find the values of x where the derivative of g(x) = (1/4)x4 - (3/2)x2 - x + 5 equals zero.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Explain why the following four statements ask for the same information:

i) Find the roots of ƒ(x) = x3 - 3x - 1.

ii) Find the x-coordinates of the intersections of the curve y = x3 with the line y = 3x + 1.

iii) Find the x-coordinates of the points where the curve y = x3 - 3x crosses the horizontal line y = 1.

iv) Find the values of x where the derivative of g(x) = (1/4)x4 - (3/2)x2 - x + 5 equals zero.

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