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
Transcribed Image Text:5. Find an approximate value, to 3 decimal places, for (7+ 5x'dxusing the Trapezoidal
Rule with n= 4.
Expert Solution
Step 1
a = 0; b = 2; n = 4
Hence, width of the interval = Δx = (b - a) / n = (2 - 0) / 4 = 0.5
Hence, the intervals will be: (0, 0.5), (0.5, 1), (1, 1.5), (1.5, 2)
Also, let's say
Step 2
Area, A will be given by:
| x | f(x) |
| 0.0 | 1.9129 |
| 0.5 | 1.9682 |
| 1.0 | 2.2894 |
| 1.5 | 2.8795 |
| 2.0 | 3.6088 |
Hence, A = (0.5/2)[1.9129 + 2 x 1.9682 + 2 x 2.2894 + 2 x 2.8795 + 3.6088] = 19.796
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