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...
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Use the left and right endpoint with the number of rectangle to approximate the area
![**Rectangular Approximation Method (RAM) Exercises**
28. **Function:** \( g(x) = 2x^2 \)
**Interval:** \([1, 3]\)
**Number of Rectangles:** 8
30. **Function:** \( g(x) = \sin x \)
**Interval:** \(\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]\)
**Number of Rectangles:** 6
*These exercises involve using the Rectangular Approximation Method to estimate the area under the curve for a given function across a specified interval. The function and interval details are provided along with the number of rectangles used in the approximation.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d039e92-48d2-408d-95a6-10e9b1e58ffd%2F3da15a70-7a00-478b-8283-79cb5c4c6da6%2Fafpylqze_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Rectangular Approximation Method (RAM) Exercises**
28. **Function:** \( g(x) = 2x^2 \)
**Interval:** \([1, 3]\)
**Number of Rectangles:** 8
30. **Function:** \( g(x) = \sin x \)
**Interval:** \(\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]\)
**Number of Rectangles:** 6
*These exercises involve using the Rectangular Approximation Method to estimate the area under the curve for a given function across a specified interval. The function and interval details are provided along with the number of rectangles used in the approximation.*
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