With a programmable calculator (or a computer), it is possible to evaluate the expressions for the sums of areas of approximating rectangles, even for large values of n, using looping. (On a TI use the Is > command or a For-EndFor loop, on a Casio use Isz, on an HP or in BASIC use a FOR-NEXT loop.) Compute the sum of the areas of approximating rectangles using equal subintervals and right endpoints for n = 10, 30, 50, and 100. Then guess the value of the exact area.
10. The region under y = cos x from 0 to π/2
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
Bundle: Single Variable Calculus, 8th + WebAssign Printed Access Card for Stewart's Calculus, 8th Edition, Multi-Term
Additional Math Textbook Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Precalculus: A Unit Circle Approach
Glencoe Math Accelerated, Student Edition
Calculus & Its Applications (14th Edition)
Precalculus: Mathematics for Calculus (Standalone Book)
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
- Algebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,