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2. Find the sum of all rectangles shown in figure below in terms of x and y. x x/2 x/4 y/4 y/2

2. Find the sum of all rectangles shown in figure below in terms of x and y. x x/2 x/4 y/4 y/2

Calculus: Early Transcendentals
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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INFINITE SERIES EXAMPLE The outermost square in the figure below has an area of 16 cm². Find the sum of the areas of all the squares. Solution 2 Sum of Areas = 16 +8+4+2+... √2 Geometric series a = 16 r = 1/2 a 16 Sum of Areas = = 1-r 2. Find the sum of all rectangles shown in figure below in terms of x and y. x x/2 x/4 y/4 y/2 1 - 2 √8= 2√2 2 √2 √√2 1 = 32 cm² 1 ((()) Or
Transcribed Image Text:INFINITE SERIES EXAMPLE The outermost square in the figure below has an area of 16 cm². Find the sum of the areas of all the squares. Solution 2 Sum of Areas = 16 +8+4+2+... √2 Geometric series a = 16 r = 1/2 a 16 Sum of Areas = = 1-r 2. Find the sum of all rectangles shown in figure below in terms of x and y. x x/2 x/4 y/4 y/2 1 - 2 √8= 2√2 2 √2 √√2 1 = 32 cm² 1 ((()) Or
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