Estimate the area of the region bounded by the graph of f(x)=x +4 and the x-axis on [0,6] in the following ways. a. Divide [0,6] into n = 4 subintervals and approximate the area of the region using a left Riemann sum. Illustrate the solution geometrically. b. Divide [0,6] into n = 4 subintervals and approximate the area of the region using a right Riemann sum. Illustrate the solution geometrically. a. The left Riemann sum is (Type an integer or decimal rounded to three decimal places as needed.) Sketch the graph of f and the rectangles used in the left Riemann sum. Choose the correct graph below. O A. 48- 7.5 X O B. 48- 0- 0 7.5 b. The right Riemann sum is (Type an integer or decimal rounded to three decimal places as needed.) Sketch the graph of f and the rectangles used in the right Riemann sum. Choose the correct graph below. O A. Ay 48- مخملييملمم 7.5 LY O B. 48- 7.5 X X G O C. 48- OC. 48- 0 7.5 7.5 X ♫ E E

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
Question
Estimate the area of the region bounded by the graph of f(x)=x +4 and the x-axis on [0,6] in the following ways.
a. Divide [0,6] into n = 4 subintervals and approximate the area of the region using a left Riemann sum. Illustrate the solution geometrically.
b. Divide [0,6] into n = 4 subintervals and approximate the area of the region using a right Riemann sum. Illustrate the solution geometrically.
a. The left Riemann sum is
(Type an integer or decimal rounded to three decimal places as needed.)
Sketch the graph of f and the rectangles used in the left Riemann sum. Choose the correct graph below.
O A.
48-
7.5
X
O B.
48-
0-
0
7.5
b. The right Riemann sum is
(Type an integer or decimal rounded to three decimal places as needed.)
Sketch the graph of f and the rectangles used in the right Riemann sum. Choose the correct graph below.
O A.
Ay
48-
مخملييملمم
7.5
LY
O B.
48-
7.5
X
X
G
O C.
48-
OC.
48-
0
7.5
7.5
X
♫
E
E
Transcribed Image Text:Estimate the area of the region bounded by the graph of f(x)=x +4 and the x-axis on [0,6] in the following ways. a. Divide [0,6] into n = 4 subintervals and approximate the area of the region using a left Riemann sum. Illustrate the solution geometrically. b. Divide [0,6] into n = 4 subintervals and approximate the area of the region using a right Riemann sum. Illustrate the solution geometrically. a. The left Riemann sum is (Type an integer or decimal rounded to three decimal places as needed.) Sketch the graph of f and the rectangles used in the left Riemann sum. Choose the correct graph below. O A. 48- 7.5 X O B. 48- 0- 0 7.5 b. The right Riemann sum is (Type an integer or decimal rounded to three decimal places as needed.) Sketch the graph of f and the rectangles used in the right Riemann sum. Choose the correct graph below. O A. Ay 48- مخملييملمم 7.5 LY O B. 48- 7.5 X X G O C. 48- OC. 48- 0 7.5 7.5 X ♫ E E
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