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What is the area of the region? A. sq. unit B. 2 sq. units C. sq. units D. sq. unit

What is the area of the region? A. sq. unit B. 2 sq. units C. sq. units D. sq. unit

Algebra & Trigonometry with Analytic Geometry
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
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For items 12-15, consider the region bounded by the curve y = cosx and the x-axis, where 0 ≤ x ≤ 1/ 12. What is the area of the region? A. sq. unit B. 2 sq. units C. sq. units D. sq. unit 13. What is the y-coordinate of its centroid? A.y= B. y = 1/2 C. y = 1/2 D. y == 14. Find the moment of the region with respect to the y-axis. A. My≈ 0.43 B. My≈ 0.64 C. My≈ 0.71 D. My≈ 0.38 15. If the region is revolved about the line x = 2, then the volume of the solid generated is given by A. V = - St π cos²x dx C. V = S²³2 (-x)cos x dx 0 B. V = √₁² 2πx cos x dx D. V = √²³3 7(3- - x) cos²x dx 0
Transcribed Image Text:For items 12-15, consider the region bounded by the curve y = cosx and the x-axis, where 0 ≤ x ≤ 1/ 12. What is the area of the region? A. sq. unit B. 2 sq. units C. sq. units D. sq. unit 13. What is the y-coordinate of its centroid? A.y= B. y = 1/2 C. y = 1/2 D. y == 14. Find the moment of the region with respect to the y-axis. A. My≈ 0.43 B. My≈ 0.64 C. My≈ 0.71 D. My≈ 0.38 15. If the region is revolved about the line x = 2, then the volume of the solid generated is given by A. V = - St π cos²x dx C. V = S²³2 (-x)cos x dx 0 B. V = √₁² 2πx cos x dx D. V = √²³3 7(3- - x) cos²x dx 0
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