Estimate the area under the graph of f(x) = 3 cos(x) from x 0 to x = 7/2 using four approximating rectangles and right endpoints. Is your estimate an underestimate or an overestimate?

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
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
icon
Related questions
Question
Estimate the area under the graph of f(x) = 3 cos(x) from x 0 tox = 7/2 using four approximating
rectangles and right endpoints. Is your estimate an underestimate or an overestimate?
Step 1
Rectangle areas are found by calculating height x width.
The width of each rectangle equals Ax and the height of each rectangle is given by the function value at the
right-hand side of the rectangle.
So we must calculate R =) f(x,)Ax = [f(x1) + f(x,) + f(x3) + f(x4)] Ax, where X1, X2, X3, X4 represent
j = 1
the right-hand endpoints of four equal sub-intervals of
0,
Since we wish to estimate the area over the interval
0,
using 4 rectangles of equal widths, then each
rectangle will have width Ax =
Transcribed Image Text:Estimate the area under the graph of f(x) = 3 cos(x) from x 0 tox = 7/2 using four approximating rectangles and right endpoints. Is your estimate an underestimate or an overestimate? Step 1 Rectangle areas are found by calculating height x width. The width of each rectangle equals Ax and the height of each rectangle is given by the function value at the right-hand side of the rectangle. So we must calculate R =) f(x,)Ax = [f(x1) + f(x,) + f(x3) + f(x4)] Ax, where X1, X2, X3, X4 represent j = 1 the right-hand endpoints of four equal sub-intervals of 0, Since we wish to estimate the area over the interval 0, using 4 rectangles of equal widths, then each rectangle will have width Ax =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 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
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning