Find all points on the curve y = x³ + 2x² - 6x +5 where the tangent is parallel to the line 2x + y = 4. O a. (-2/3,29/27) and (2.-17) O b. (2/3,-59/27) and (-1/2,17) (-2/3,29/27) and (-1/2,17) Oc. O d. none of these Op (2/3.59/27) and (-2.17)

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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Find all points on the curve y = x³ + 2x² - 6x +5 where the tangent is parallel to
the line 2x + y = 4
O a. (-2/3,29/27) and (2.-17)
O b. (2/3,-59/27) and (-1/2,17)
(-2/3,29/27) and (-1/2,17)
Oc.
O d.
none of these
Oe.
(2/3,59/27) and (-2,17)
Transcribed Image Text:Find all points on the curve y = x³ + 2x² - 6x +5 where the tangent is parallel to the line 2x + y = 4 O a. (-2/3,29/27) and (2.-17) O b. (2/3,-59/27) and (-1/2,17) (-2/3,29/27) and (-1/2,17) Oc. O d. none of these Oe. (2/3,59/27) and (-2,17)
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