The equation of a curve is y = 4x³ + px², where p is a positive constant. Find the stationary points of the curve and determine their nature. c) [8 mark

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 20E
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The equation of a curve is y = 4x³ + px², where p is a positive constant. Find the
stationary points of the curve and determine their nature.
c)
[8 marks]
Transcribed Image Text:The equation of a curve is y = 4x³ + px², where p is a positive constant. Find the stationary points of the curve and determine their nature. c) [8 marks]
The equation of a curve is x?y +xy² = 2. Find the equation of both the tangents to the
curve at the point x = 1.
d)
[9 marks]
Transcribed Image Text:The equation of a curve is x?y +xy² = 2. Find the equation of both the tangents to the curve at the point x = 1. d) [9 marks]
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