Calculus Find the centroid of the region in the first quadrant bounded by the given curves….
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Question “Calculus Find the centroid of the region in the first quadrant bounded by the given curves….”
Calculus
Find the centroid of the region in the first quadrant bounded by the given curves. y = x4, x=yt (3, 3) = (
A vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 14 m, the height h of air above the water level is 2 m, and the width w of the gate is 2 m. Find the hydrostatic force against the gate. (Round your answer to the nearest whole number. Use 9.8 m/s2 for the acceleration due to gravity. Recall that the weight density of water is 1000 kg/m3.) water level W
Find the centroid of the region bounded by the given curves. y= x3, x + y= 2, y = 0 (5,5) = ( )
The centroid of any triangle is located at the point of intersection of the medians. Recall that a median is a line segment from a vertex to the midpoint of the opposite side. Recall also that the medians intersect at a point two-thirds of the way from each vertex (along the median) to the opposite side. Find the centroid of the region shown, not by integration, but by locating the centroids of the rectangles and triangles (from the above information) and using additivity of moments. (3, 3) – (I -3 -2 – 23
Find the centroid of the region bounded by the curves y = y3 – x and y = x? – 1. Sketch the region and plot the centroid to see if your answer is reasonable.
Answer
Given the curines: 8 x=ya 7 yox 8 8 y = Ly=xth Ea blw and curves: C c 14 ur14 A = x 4 I 5141. {5 los , – 1 = : 4 5 3 5 * – x coordinate of centrid: u = 1 x [7W- g (W] du 1=5 g (su dx = 5 los?? : 4 5 3 5 * – x coordinate of centrrid: u = 1 x (W) du 1=5 g a (su dx= E 11 DIIDID BRICII0 BIH LOVI BES III11 CU 111111111 BITRII11 IRIINI
CAlbum an BHI BELI III THSLI GULLIES RBIRD BULLIES BELI 4ISHCHIN BELI ) M RESERVED LUMLEEL 1110LEEL EELLERTI ILLIN” SU)-] df1 [(x.lug2 = 642] In. . . 2 . 25 54) (4-8 UUULL IIIIII LIFELIMILLE NIRUITML SELERHILA CELEI11111 ELLETELLIL ELESENSITING LEEELLITHI?- – – 1 CEP Scan? FEEEEEE A 5 OUTECERT IMALAJI = a – – Brrrrr
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