3. Calculate the centroid of the given illustration below. y-axis 7.5ft- 4ft 2ft 5ft- х-ахis 2ft

Q: What is the x centroid position for the shape below? Center:D, 2m 10m 3.4m 3.9m 4.4m 4.9m

A: Formula for centroid, C C=∑Ax∑A

Q: 42. Whatever the value of p > 0 in the equation y = x²/(4p), the y-coordinate of the centroid of the…

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Q: Problem No. 2 From the given diagram, find the centroid of the irregular plate body with respect to…

A: Calculate x-coordinate of the centroid:  x¯=∫x=02∫y=-x2xxdydx∫x=02∫y=-x2xdydx…

Q: W R X

A: →Centroid of a triangle is the point at which all three medians of triangle      intersect each…

Q: 1. Point L is a centroid of the triangle FWD. If RL = 54 cm, what is RD? W R ) 81 cm 58 cm O 100 cm…

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Q: Determine the distance y measured from the x axis to the centroid of the area of the triangle shown…

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Q: Determine the x-component (m) of the centroid of the given figure if the cut portion is a semicircle…

A: Given, a=39 m, b=16 m and c=2 m To find the x-component of the centroid of the given figure.

Q: y A y=}x? 2

A: Please see the explanation below

Q: Which of the following is NOT a method for finding volume of solids of revolution? (A) shell method…

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Q: For the blue shaded area shown in the image below, if the dimensions are a = 1.2 in., b = 3.6 in., c…

A: For calculating area following formulae will be used: Area of rectangle = length x breadth Area of…

Q: Z is the centroid of AUVW. What is UY if UZ = 8? O A. 4 о с. 6

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Q: Locate the centroid x̄ of the area.

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Q: y? = 3x 2 in. 3 in.

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Q: How far is the centroid from point A? У-аxis - 25 cm - 30 cm 25 cm 30 cm 40 cm 25 cm - 30 cm 50 cm…

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Q: (b) Find a parameterization, in spherical coordiantes, for the ellipsoid 4x2 + 9y2 + 2²/4 = 1 that…

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Q: 4. Locate the centroid (x, y)of the following composite areas: -3 ft 3 ft I 1.5 ft 1 ft

A: Consider the given composite area and divide then into four areas as shown in diagram below,

Q: Find the coordinates of the centroid (to the nearest 0.01 in.) of the uniform flat-plate machine…

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Q: B.2. Express to its standard form, determine the center, radius ar 10. x² + y? + 10x – 14y + 58 = 0…

A: # We are entitled to solve one question at a time , please resubmit the other question if you wish…

Q: Determine the y-coordinate of the centroid of the shaded area shown. 18" Parabolic 2" 9"

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Q: (P) is a circular paraboloid around z-axis and (Q) is the surface given by + += 1 This option (P) is…

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Q: 5 + 2? + y, the cylinder Evaluate e dV where E is enclosed by the paraboloid z = E 2 + y? = 1, and…

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Q: Determine the y-coordinate of the centroid of the shaded area shown. 12" Parabolic 5" Answer: y = i…

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Q: Question 2: Calculate the coordinates of the centroid for composite shape given. 5cm 3cm r=2cm (0,0)…

A: The centroid of a right triangle is at h3,b3 with respect to the vertex with the right angle. Here,…

Q: 2. Obtain the eccentricity e and centroid a, and y. of the following image. f(x.y)=1 (object: dark)…

A: From the figure, we have to write down all the dark box function, for which f(x,y)=1 x,y=3,2, 4,2,…

Q: H-w) find thi surf ace area for the Dlane 6x+44-22= 14 if this plane in the finst octant? S-A = |…

A: Surface area of the, in the xy-plane

Q: m

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Q: 3. The point D is the centroid of AABC. Find the value of the distance DC if : GD = 2x – 8 and GC =…

A: It is known that the centroid of a triangle is the point at which the 3 medians of the triangle…

Q: R mm 150 mm Y-

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Q: xy = 4

A: Solution

Q: 3. Find the centroid of the region bounded by the parabola y? = 4x, the y-axis, and the line y = 4.

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Q: The figure below shows contours of g(x, y) on the region R, with 9 < x < 15 and 6 < y < 12. 12 -2 10

A: given region 9≤x≤15 and 6≤y≤12 using △x=△y=2 find an overestimate and an underestimate for ∫Rgx,ydA…

Q: x2-y는 군.Give the spherical coordingtes.

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Q: 4) Find the centroid of the plane region bounded by x2 + y? = 25 and x2 + (y – 6)² = 13.

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Q: Find the centroid of the semicircular region in Figure 6.7.8.

A: A detailed solution is given below.

Q: Determine the centroid of the following Fig from X and Y axes. Y, 30 centT1 2 CentQ1 -4 -3 -2 -1 1 2…

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Q: y 2 2 2 4

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Q: A rectangle ℛ with sides a and b is divided into two parts ℛ1 and ℛ2 by an arc of a parabola that…

A: A rectangle ℛ with sides a and b is divided into two parts ℛ1 and ℛ2 by an arc of a parabola that…

Q: Consider the figure below, point D is the centroid of △ABC with DF = 4x − 1 and BD = 6x + 4. Use the…

A: Figure of triangle is given, where point D is centroid with DF=4x-1 and BD=6x+4.

Q: A company that sells copier machines has collected data from 45 recent calls on users to perform…

A: Given that,  X = number of copiers serviced, Y = total number of minutes spent by service person,X¯…

Q: Let o(r, y, 2) = x2 + (y/2)2 + 22. Find the point on the ellipsoid o = 1 closest to (1, 1, -1).

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Q: The tangent planes to the ellipsoid =1 meets %3D 62 the coordinate axes in points A, B and C. Prove…

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Q: 1. Find the location of the centroid of the plane region. 14 70 -35-- 35 Dimensions in mm

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Q: (1, 9) € R? :- 25yS1,-1SIS 2}

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Q: 3. Point Z is a centroid of the triangle VWY. If VZ = 42 cm, what is VX? %3D Y X W V

A: A triangle

Q: Pr. #1) || zdA, Dis the triangular region with vertices (0,0), (4, 2), and (0,6) (aketch D on the…

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Q: y cm cm

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Q: Given the equation 9. z, zis from 0 to 5. Determine the y- coordinate of the centroid. 16

A: y co ordinate of centroid of region E with constant density  y=∫∫∫Eydv∫∫∫Edv

Q: The figure below is a composite body consisting of the following parts: [1] the triangular prism of…

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Q: #1. Find a parametric representation of the part of the cylinder x² + z? = 9 that lies above the…

A: parametric equations for a cylinder of radius 3 x^2+y^2+z^2=r^2 Where r=3

Q: Find the centroids of region A and region B where region A is formed by an arc of a parabola that…

A: • First we need to find the area of the respective regions and then the moment of that area about x…