Approximate the area under the following curve and above the x-axis on the given interval, using rectangles whose height is the value of the function at the left side of the rectangle. (a) Use two rectangles. (b) Use four rectangles. (c) Use a graphing calculator (or other technology) and 40 rectangles. f(x) = 4 - x; [-2,2] (a) The approximated area when using two rectangles is Type an integer or decimal rounded to two decimal places as needed.) square units. b) The approximated area when using four rectangles is square units. Type an integer or decimal rounded to two decimal places as needed.) c) The approximated area when using 40 rectangles is Type an integer or decimal rounded to two decimal places as needed.) square units.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
Question
Approximate the area under the following curve and above the x-axis on the given interval, using rectangles whose height is the value of the function at the left side of the rectangle.
(a) Use two rectangles.
(b) Use four rectangles.
(c) Use a graphing calculator (or other technology) and 40 rectangles.
f(x) = 4 – x; [-2,2]
(a) The approximated area when using two rectangles is
(Type an integer or decimal rounded to two decimal places as needed.)
square units.
(b) The approximated area when using four rectangles is
Type an integer or decimal rounded to two decimal places as needed.)
square units.
c) The approximated area when using 40 rectangles is
Type an integer or decimal rounded to two decimal places as needed.)
square units.
Transcribed Image Text:Approximate the area under the following curve and above the x-axis on the given interval, using rectangles whose height is the value of the function at the left side of the rectangle. (a) Use two rectangles. (b) Use four rectangles. (c) Use a graphing calculator (or other technology) and 40 rectangles. f(x) = 4 – x; [-2,2] (a) The approximated area when using two rectangles is (Type an integer or decimal rounded to two decimal places as needed.) square units. (b) The approximated area when using four rectangles is Type an integer or decimal rounded to two decimal places as needed.) square units. c) The approximated area when using 40 rectangles is Type an integer or decimal rounded to two decimal places as needed.) square units.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Area
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill