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Step 4 10 100x -x x ) a. 3 100x – x° x ) dx. Now, we have y -10 Submit Skip (you cannot come back).

Step 4 10 100x -x x ) a. 3 100x – x° x ) dx. Now, we have y -10 Submit Skip (you cannot come back).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Sketch the region bounded by the curves, and visually estimate the location of the centroid. Then find the exact coordinates of the centroid. y = 100 – x² y = 0 Step 1 Since the region is symmetric about the y-axis, we know that x = 0 y 100 80 60 40 20 X -10 -5 10 Step 2 10 10 The area of this region can be found by A = 100 2 dx. 100 – 22 10
Transcribed Image Text:Sketch the region bounded by the curves, and visually estimate the location of the centroid. Then find the exact coordinates of the centroid. y = 100 – x² y = 0 Step 1 Since the region is symmetric about the y-axis, we know that x = 0 y 100 80 60 40 20 X -10 -5 10 Step 2 10 10 The area of this region can be found by A = 100 2 dx. 100 – 22 10
Step 3 Evaluating the integral, we get the following. 10 (100 – x²)dx -10 A = 10 = 2 (100 – x²)dx 3 10 = 2100x 3 1 .3 100.x – - (4-10%) 4000 %D Step 4 10 Now, we have y = A ( 100x – x x ) dx. Submit Skip (you cannot come back)
Transcribed Image Text:Step 3 Evaluating the integral, we get the following. 10 (100 – x²)dx -10 A = 10 = 2 (100 – x²)dx 3 10 = 2100x 3 1 .3 100.x – - (4-10%) 4000 %D Step 4 10 Now, we have y = A ( 100x – x x ) dx. Submit Skip (you cannot come back)
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