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9. (a) Consider the cubic function (i) (ii) (iii) y = x³ + 3x²-x-5. Find all the turning points and the nature of the turning points. Find the normal to the curve at the point x = -1. Sketch the cubic curve on graph paper and add the normal you found in part (ii) to your graph. From your graph, estimate the other two points where the normal crosses the curve.

9. (a) Consider the cubic function (i) (ii) (iii) y = x³ + 3x²-x-5. Find all the turning points and the nature of the turning points. Find the normal to the curve at the point x = -1. Sketch the cubic curve on graph paper and add the normal you found in part (ii) to your graph. From your graph, estimate the other two points where the normal crosses the curve.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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9. (a) Consider the cubic function (i) (ii) (iii) y = x³ + 3x² - x - 5. Find all the turning points and the nature of the turning points. Find the normal to the curve at the point x = -1. Sketch the cubic curve on graph paper and add the normal you found in part (ii) to your graph. From your graph, estimate the other two points where the normal crosses the curve. (b) Find the area above the x axis bounded by the curve y = -x² + 3x
Transcribed Image Text:9. (a) Consider the cubic function (i) (ii) (iii) y = x³ + 3x² - x - 5. Find all the turning points and the nature of the turning points. Find the normal to the curve at the point x = -1. Sketch the cubic curve on graph paper and add the normal you found in part (ii) to your graph. From your graph, estimate the other two points where the normal crosses the curve. (b) Find the area above the x axis bounded by the curve y = -x² + 3x
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