a) The rectangles in the graph below illustrate a left endpoint ✓ approximation for f(x) = 2 sin z on the interval [0, π]. The value of this approximation is (Hint: The area of each rectangle is the width of the rectangle multiplied by its height. Even though you don't have a table for the heights, you can compute them by evaluating the function at the appropriate endpoints.) -pi/2 1424b0bb___630967a0-490e-36f0-83a2-6282a23f1de8.... 5 4 -pi/2 3 2 1 -2 -3 -4 -5 z b) The rectangles in the graph below illustrate a right endpoint approximation for f(x) = 2 sin on the interval [0, π]. The value of this approximation is Left endpoint Riemann sum for y = 2 sin z on [0, π] 5 4 3 2 1 -2 -3 pi/2 -4 -5 pi pi/2 3pi/2 pi 3pi/2 Right endpoint Riemann sum for y= 2 sin z on 0,7

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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a) The rectangles in the graph below illustrate a left endpoint ✓approximation for f(x) = 2 sin z on the interval [0, π].
The value of this approximation is
(Hint: The area of each rectangle is the width of the rectangle multiplied by its height. Even though you don't have a table for the heights, you can compute them by evaluating the function at the appropriate endpoints.)
-pi/2
1424b0bb___630967a0-490e-36f0-83a2-6282a23f1de8....
5
4
-pi/2
3
2
1
-2
-4
-5
b) The rectangles in the graph below illustrate a right endpoint approximation for f(x) = 2 sin on the interval [0, π].
The value of this approximation is
Left endpoint Riemann sum for y= 2 sin z on [0, π]
5
4
3
2
1
-2
ch Á có
pi/2
O
pi
Pi/2
3pi/2
pi
3pi/2
Right endpoint Riemann sum for y= 2 sin z on [0, π]
Transcribed Image Text:a) The rectangles in the graph below illustrate a left endpoint ✓approximation for f(x) = 2 sin z on the interval [0, π]. The value of this approximation is (Hint: The area of each rectangle is the width of the rectangle multiplied by its height. Even though you don't have a table for the heights, you can compute them by evaluating the function at the appropriate endpoints.) -pi/2 1424b0bb___630967a0-490e-36f0-83a2-6282a23f1de8.... 5 4 -pi/2 3 2 1 -2 -4 -5 b) The rectangles in the graph below illustrate a right endpoint approximation for f(x) = 2 sin on the interval [0, π]. The value of this approximation is Left endpoint Riemann sum for y= 2 sin z on [0, π] 5 4 3 2 1 -2 ch Á có pi/2 O pi Pi/2 3pi/2 pi 3pi/2 Right endpoint Riemann sum for y= 2 sin z on [0, π]
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