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For the parametric curve x = t^2 + 2t + 1, y = 6t + 1, find the Cartesian equation(s) for all tangent lines to this curve with slope 3. Write your line equation(s) in the point-slope form

For the parametric curve x = t^2 + 2t + 1, y = 6t + 1, find the Cartesian equation(s) for all tangent lines to this curve with slope 3. Write your line equation(s) in the point-slope form

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 98E
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a) For the parametric curve x = t^2 + 2t + 1, y = 6t + 1, find the Cartesian equation(s) for
all tangent lines to this curve with slope 3. Write your line equation(s) in the point-slope form

b) Plot and label the following polar point on the graph.
Find the Cartesian coordinates of this point.
C = (r, θ) = (4,5π/6)

c) Consider the point with Cartesian coordinates (x, y) = (−1,√3)
Plot this point in the (x, y)-plane.
Find polar coordinates (r, θ) of this point, where r > 0 and 0 ≤ θ ≤ 2π

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