sider the curve C defined by the equations x = t° + 3t? and y = 2t + 15t2 + 36t + 6. Show that C is a smooth curve on R{-2}. etermine the points (x, y) where C has horizontal tangent line. Vithout eliminating the parameter, compute for the value of d'y/dx? at t = -1.
sider the curve C defined by the equations x = t° + 3t? and y = 2t + 15t2 + 36t + 6. Show that C is a smooth curve on R{-2}. etermine the points (x, y) where C has horizontal tangent line. Vithout eliminating the parameter, compute for the value of d'y/dx? at t = -1.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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![Consider the curve C defined by the equations x = t + 3t and y = 2t + 15t + 36t + 6.
a.) Show that C is a smooth curve on R{-2}.
b) Determine the points (x, y) where C has horizontal tangent line.
c.) Without eliminating the parameter, compute for the value of d'y/dx? at t = -1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81d8123d-7e02-48d0-b30d-f764a031f5a0%2Feb65d5b0-d3b7-4642-bb99-526fdb6764a2%2Ff2uhxur_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the curve C defined by the equations x = t + 3t and y = 2t + 15t + 36t + 6.
a.) Show that C is a smooth curve on R{-2}.
b) Determine the points (x, y) where C has horizontal tangent line.
c.) Without eliminating the parameter, compute for the value of d'y/dx? at t = -1.
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