The centroid of a region is its center of mass. It is the point, where The centroid of a region is its center of mass. In 2 dimensions it will be a point (x,y) where = 1²2. x-f(x) dx, and y=f(f(x)] ²³ dx X= 1 2. Find the centroid of the region bounded by y=sin(x)cos(x), x=0, x=, and y=0. Write the answer rounded to 1 decimal places as a point (x,y) (use no spaces between the x, y, parenthesis, or the comma)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 11E
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The centroid of a region is its center of mass. It is the point, where
The centroid of a region is its center of mass. In 2 dimensions it will be a point (x,y) where
cb
1
1x · f(x) dx, and y=S²½ [ƒ (x)]² dx
A Ja
A
X=
2. Find the centroid of the region bounded by y=sin(x)cos(x), x=0, x=, and y=0.
Write the answer rounded to 1 decimal places as a point (x,y) (use no spaces between the x, y,
parenthesis, or the comma)
Transcribed Image Text:The centroid of a region is its center of mass. It is the point, where The centroid of a region is its center of mass. In 2 dimensions it will be a point (x,y) where cb 1 1x · f(x) dx, and y=S²½ [ƒ (x)]² dx A Ja A X= 2. Find the centroid of the region bounded by y=sin(x)cos(x), x=0, x=, and y=0. Write the answer rounded to 1 decimal places as a point (x,y) (use no spaces between the x, y, parenthesis, or the comma)
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,