Your friend comes up with the following function for her roller coaster prototype and does not Inderstand why it does not meet the requirements shown in PART A and ² = 18x + 12 d²y dx² y = 3x³ + 6x² - 6x + 3, where = 9x² + 12x - 6 and =9x² + 12x-6 dx hint.... Show that both the Point of Inflection and the Critical Points criteria are not fulfilled. If ecessary, round your answers to the nearest hundredth).
Your friend comes up with the following function for her roller coaster prototype and does not Inderstand why it does not meet the requirements shown in PART A and ² = 18x + 12 d²y dx² y = 3x³ + 6x² - 6x + 3, where = 9x² + 12x - 6 and =9x² + 12x-6 dx hint.... Show that both the Point of Inflection and the Critical Points criteria are not fulfilled. If ecessary, round your answers to the nearest hundredth).
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...
Related questions
Question
![Canada's Wonderland is accepting proposals for a new roller coaster idea! In this section, you will go through some
design ideas and evaluate them.
a)
First, you need to draw a sketch of your roller coaster. There are a few requirements: to keep the ride exciting, your
rollercoaster must have a minimum of three local extrema and two points of inflections.
Complete your sketch on the graph below. Be sure to label each of your extrema, your Points of Inflection and to
classify the extrema. (Note: Your graph may cross over the x-axis)
-10
0
10
x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64e22453-08e9-4901-b6d4-29904b54e3b3%2F3ec282f1-4500-4a59-bf8e-0f1c99a9ceef%2Fkjclasv_processed.png&w=3840&q=75)
Transcribed Image Text:Canada's Wonderland is accepting proposals for a new roller coaster idea! In this section, you will go through some
design ideas and evaluate them.
a)
First, you need to draw a sketch of your roller coaster. There are a few requirements: to keep the ride exciting, your
rollercoaster must have a minimum of three local extrema and two points of inflections.
Complete your sketch on the graph below. Be sure to label each of your extrema, your Points of Inflection and to
classify the extrema. (Note: Your graph may cross over the x-axis)
-10
0
10
x
![Your friend comes up with the following function for her roller coaster prototype and does not
understand why it does not meet the requirements shown in PART A
d²y
dx²
dy
y = 3x³ + 6x² - 6x +3, where dx=9x² + 12x-6 and 18x + 12
(hint.... Show that both the Point of Inflection and the Critical Points criteria are not fulfilled. If
necessary, round your answers to the nearest hundredth).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64e22453-08e9-4901-b6d4-29904b54e3b3%2F3ec282f1-4500-4a59-bf8e-0f1c99a9ceef%2Fhmiaogw_processed.png&w=3840&q=75)
Transcribed Image Text:Your friend comes up with the following function for her roller coaster prototype and does not
understand why it does not meet the requirements shown in PART A
d²y
dx²
dy
y = 3x³ + 6x² - 6x +3, where dx=9x² + 12x-6 and 18x + 12
(hint.... Show that both the Point of Inflection and the Critical Points criteria are not fulfilled. If
necessary, round your answers to the nearest hundredth).
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
![Precalculus](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Calculus: Early Transcendental Functions](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning