Consider the function f(x) = 3.5 3 2.5 1.5 1 0.5 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 1) We approximate the area under the graph of y = f(x), above the x-axis, over the interval [0, 2] by using n= 4 rectangles and RIGHT endpoints. a) (3 points) What is the width, Ax, of each rectangle used in this approximation? Ax = b) (5 points) List the grid points, Xo, X1, X2, X3, Xạ used in this approximation. Gridpoints: c) (5 points) Illustrate this area approximation by sketching the corresponding rectangles in the graph above. d) (5 points) Is this area approximation going to be an overestimate or an underestimate. Explain using your graph. e) (6 points) Calculate this area approximation. Area Approximation =.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
icon
Related questions
Question

please answer a through e :) 

Consider the function f(x) =
3.5
3
2.5
1.5
1
0.5
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
1) We approximate the area under the graph of y = f(x), above the x-axis, over the interval [0, 2] by using n= 4 rectangles and
RIGHT endpoints.
a) (3 points) What is the width, Ax, of each rectangle used in this approximation?
Ax
b) (5 points) List the grid points, Xo, X1, X2, X3, X4 used in this approximation.
Gridpoints:
c) (5 points) Illustrate this area approximation by sketching the corresponding rectangles in the graph above.
d) (5 points) Is this area approximation going to be an overestimate or an underestimate. Explain using your graph.
e) (6 points) Calculate this area approximation.
Area Approximation =.
Transcribed Image Text:Consider the function f(x) = 3.5 3 2.5 1.5 1 0.5 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 1) We approximate the area under the graph of y = f(x), above the x-axis, over the interval [0, 2] by using n= 4 rectangles and RIGHT endpoints. a) (3 points) What is the width, Ax, of each rectangle used in this approximation? Ax b) (5 points) List the grid points, Xo, X1, X2, X3, X4 used in this approximation. Gridpoints: c) (5 points) Illustrate this area approximation by sketching the corresponding rectangles in the graph above. d) (5 points) Is this area approximation going to be an overestimate or an underestimate. Explain using your graph. e) (6 points) Calculate this area approximation. Area Approximation =.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage