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(a) Given the above equation for y(x), determine the height h and width b Olsnof the fin. (b) Determine the area of the cool- ing fin by integration with respect to x. (c) Determine the x-coordinate of the centroid by integration with respect to x.

(a) Given the above equation for y(x), determine the height h and width b Olsnof the fin. (b) Determine the area of the cool- ing fin by integration with respect to x. (c) Determine the x-coordinate of the centroid by integration with respect to x.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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9-10. The geometry of a cooling fin is defined by the shaded area that is bounded by the parabola y(x) = -x² + 16, as illus- trated in Fig. P9.10. nou y, in. y(x) = –x² + 16 %3D 9-17 h x, in. b | Figure P9.10 Geometry of a cooling fin. uet lo stenibO po (a) Given the above equation for y(x), determine the height h and width b lo oisnof the fin. ms bogb) Determine the area of the cool- ing fin by integration with respect to x. o vilomos olT bbroz (c) Determine the x-coordinate of the centroid by integration with respect to x. (d) Determine the y-coordinate of the centroid by integration with respect to x.
Transcribed Image Text:9-10. The geometry of a cooling fin is defined by the shaded area that is bounded by the parabola y(x) = -x² + 16, as illus- trated in Fig. P9.10. nou y, in. y(x) = –x² + 16 %3D 9-17 h x, in. b | Figure P9.10 Geometry of a cooling fin. uet lo stenibO po (a) Given the above equation for y(x), determine the height h and width b lo oisnof the fin. ms bogb) Determine the area of the cool- ing fin by integration with respect to x. o vilomos olT bbroz (c) Determine the x-coordinate of the centroid by integration with respect to x. (d) Determine the y-coordinate of the centroid by integration with respect to x.
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