Edgar the engineer uses many complicated equations in his work. Before doing lengthy and time consuming calculations he often uses a linear approximation to investigate the problem. Edgar's current project requires the error in making this approximation to be less than 1 to provide valid results. In this instance, Edgar is working with the function h(x) = 100 + 3x sin 18 Let P(x) be the linear approximation of h(x) at x = 3. (a) Find P(x). Show full working.
Edgar the engineer uses many complicated equations in his work. Before doing lengthy and time consuming calculations he often uses a linear approximation to investigate the problem. Edgar's current project requires the error in making this approximation to be less than 1 to provide valid results. In this instance, Edgar is working with the function h(x) = 100 + 3x sin 18 Let P(x) be the linear approximation of h(x) at x = 3. (a) Find P(x). Show full working.
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
![. Edgar the engineer uses many complicated equations in his work. Before doing lengthy and time
consuming calculations he often uses a linear approximation to investigate the problem. Edgar's
current project requires the error in making this approximation to be less than 1 to provide valid
results. In this instance, Edgar is working with the function
h(x) :
= 100 + 3x sin
Let P(x) be the linear approximation of h(x) at x = 3.
(a) Find P(x). Show full working.
(b) To check the accuracy of Edgar's approximation, divide the interval [-0.2, 6.6] into halves to
obtain 3 x-values (including the end points). Create an Excel spreadsheet called Values and
enter
your name, Student ID and question number, then repeat the process from question 2(a).
(c) Copy and paste the cells from the Values sheet into a new spreadsheet and name it Formulas.
Convert this sheet so that it displays as formulas (as in question 2) ensuring that the columns are
wide enough to display the formulas fully. Submit screenshots of both the Values and Formulas
spreadsheets as part of your assignment. Please ensure that each sheet fits onto a single page.
(d) Now use the Desmos graphics calculator to display the graphs of y = h(x) and y = P(x). Include
DESMOS labels showing the points (x, h(x)) for the 3 equally-spaced x-values considered in
the spreadsheet in Question 3(b). Submit a screenshot of your Desmos graph (including the
formulas) as part of your assignment.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d6686f0-24e3-43de-bc21-a827730605bb%2F1c4702af-d0ec-4903-bde7-32b7f99c1a88%2F8zwypox_processed.png&w=3840&q=75)
Transcribed Image Text:. Edgar the engineer uses many complicated equations in his work. Before doing lengthy and time
consuming calculations he often uses a linear approximation to investigate the problem. Edgar's
current project requires the error in making this approximation to be less than 1 to provide valid
results. In this instance, Edgar is working with the function
h(x) :
= 100 + 3x sin
Let P(x) be the linear approximation of h(x) at x = 3.
(a) Find P(x). Show full working.
(b) To check the accuracy of Edgar's approximation, divide the interval [-0.2, 6.6] into halves to
obtain 3 x-values (including the end points). Create an Excel spreadsheet called Values and
enter
your name, Student ID and question number, then repeat the process from question 2(a).
(c) Copy and paste the cells from the Values sheet into a new spreadsheet and name it Formulas.
Convert this sheet so that it displays as formulas (as in question 2) ensuring that the columns are
wide enough to display the formulas fully. Submit screenshots of both the Values and Formulas
spreadsheets as part of your assignment. Please ensure that each sheet fits onto a single page.
(d) Now use the Desmos graphics calculator to display the graphs of y = h(x) and y = P(x). Include
DESMOS labels showing the points (x, h(x)) for the 3 equally-spaced x-values considered in
the spreadsheet in Question 3(b). Submit a screenshot of your Desmos graph (including the
formulas) as part of your assignment.

Transcribed Image Text:(e) Briefly comment (two or three sentences) on what conclusion (if any) can be made by looking at
the spreadsheet in Question 3(b) and Desmos graph in Question 3 (d) about whether or not the
error meets Edgar's requirement to use the linear approximation.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps

Recommended textbooks for you

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman


Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning