Homework Help is Here – Start Your Trial Now!
Math
Calculus
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...
See similar textbooks
icon
Related questions
Question

Help me solve this practice A-level math question :)

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
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS