Find the y-coordinate of the centroid of the sector in the figure below. Assume that R = V34 and e = 1 (0. y) R

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: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: We can find volume by using washers method.

Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a =…

A: Consider given expression is, y=asin(bx2) Then, y=12sin(4x2) The given value of x=0 and x=πb that is…

Q: Sketch the indicated region D and integrate f(x, y) over D using polar coordinates. = V x2 + y2, D:…

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Q: sin y dV, where E lies below the plane z = x and above the triangular region with vertices (0, 0,…

A: Given, the region E lies below the plane z = x and above the triangular region with vertices 0,0,0,…

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: Find the surface area generated by rotating the given curve about the y-axis. x = e' - t, y = 4e/2,…

A: *to find:- surface area, when rotating about y axis.

Q: The y-coordinate of the centroid of the shaded area is y 4 m Iy = 4 - xr² -8 m

A: The given diagram is                         We have to find the y coordinate of the centroid of…

Q: Determine the y-coordinate of the centroid of the shaded area. Set a = 11 in., b = 28 in. Answer: y…

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Q: Find the coordinates of the centroid of the curve x = e^t cos t, y = e^t sin t, 0<=t<= pai.

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Q: Determine the y-coordinate of the centroid of the shaded area. b 1 x=y²/b 0.63b

A: Consider the following figure. Equation of straight line is y=1−0.63x=0.37x. For a thin strip…

Q: Find the coordilnate v and 2 for the centroid o f solid

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Q: Find the surface area of the solid obtained by rotating the curve 0 <y<1 about the y-axis. 3 a) c)-…

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Q: Determine the y-coordinate of the centroid of the shaded area shown. 16" Parabolic Y 5" 1 Answer: y…

A: Solution :-

Q: Find the coordinates of the centroid of the curve x = cos t, y = t + sin t, 0&lt;=t &lt;= pai.

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Q: Given an autoregressive model y(t) + a1y(t – 1) + azy(t – 2) = e(t) derive and plot the area in the…

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Q: 11. Find the circulation of F(x,y) =(x-y)i+xj around the unit circle centred on the origin. y

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Q: F9-6. Locate the centroid z of the homogeneous solid formed by revolving the shaded area about the z…

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Q: Find the centroid of the region enclosed by the x-axis and the cycloid arch x = a(t - sin t), y =…

A: Given data:

Q: out the ar and y axes shown in the figure and the z' and y' axes with origin at the centroid. y =…

A: find area of curve

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: Determine the y-coordinate of the centroid of the shaded area. bl x=y²/b 0.62b b Answer: y = i b

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Q: Sketch the D indicated and integrate f(x, y) over D using polar coordinates. f(x, y) = 16xy; x > 0,…

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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: 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: R mm 150 mm Y-

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Q: Determine the y-coordinate of the centroid of the shaded area. bl. | x=y²/b b Answer: y = i 0.48b MI…

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Q: Given: f(x,y)=x-2y+3 and D is inside x +y =16 and to the right of the y-axis. Write the integral K =…

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Q: Determine the y-coordinate of the centroid of the shaded area shown. 15" Parabolic. 4" Answer: y = i…

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Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a =…

A: Given data: *The graph is f(x)=y=asin(bx2). *The value of the constant a and b is a=8 and b=4. *The…

Q: y = e*, 0 <x < In2 around the Ox- axis of the curve segment Calculate the area of the surface formed…

A: We have to calculate the area of the surface formed by the rotation of the curve y=ex, 0≤x≤ln2 about…

Q: Q1. Locate the centroid of the shaded area shown in the Figure (1). y = 4vx -27 2 mm 9 mm 6 mm…

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Q: Find the area of the surface when y = vx, from (4, 2) to (9, 3) is rotated about the x-axis.

A: Surface area formula for rotating about x-axis is S=∫2πydS where dS=1+dydx2dx

Q: Q4/ Find the centroid of the shaded .area shown in figure below y =4² b.

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Q: Use polar coordinates to find the volume of the solid under the paraboloid z = x2 + y2 + 1 and above…

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Q: Qs/ Locate the centroid xc and ye of the shaded area. y2 = 4x %3D 2 m y = 2x

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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: Find the centroid of the third quadrant area bounded by the following curves y2+ 2y + 8x = −1 and y…

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Q: Determine the y-coordinate of the centroid of the shaded area shown. 16" Parabolic Y 3" 0 I Answer:…

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Q: Use numerical integration with Ax = 1.0 m to locate the centroid of the surface generated by…

A: Given That : y=3x216 and ∆x=1.0 m To find : locate the centroid of the surface generated by…

Q: Find the centroid of the region that is bounded below by the x-axis and above by the ellipse (x2/9)…

A: As shown in the figure the ellipse is bounded below by x-axis.It is clear from the symmetry that the…

Q: Determine the coordinates of the centroid of the shaded area. y x = ky2 1.45 b

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Q: Sketch the indicated region D and integrate f(x, y) over D using polar coordinates. f(x, y) = 18xy,…

A: given fx,y=18xy D;x≥0,y≥0,x2+y2≤4 explanation first of all , convert into polar coordinates let…

Q: Find the surface area generated by rotating the given curve about the y-axis. = et – t, y = 4e/2, 0…

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Q: Find the coordinates of the centroid of the curvex = cos t, y = t + sin t, 0 ≤ t ≤ p.

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Q: In the figure at the right, C is the centroid of ADEF. If HD = 6x + 18y?, what expression represents…

A: The centroid of a triangle divides each median in the ratio 1:2 .

Q: 10. Use polar coordinates to find the volume of the solid under the surface z = (x² + y²)² and above…

A: The polar coordinate conversion is as follows x = r cos(θ) y = r sin(θ) x2 + y2 = r2 Under the…

Q: O Find the area of the region enclosed by the ellipse x = a cos t, y = b sin t, 0<t< 2n

A: Since you have asked multiple questions in single request.so we will answering only first…

Q: Sketch the indicated region D and integrate f(x, y) over D using polar coordinates. f(x, y) = Vx² +…

A: Consider the given function: The region D is a circle of radius . The sketch of the region D is,…

Q: Sketch the indicated region D and integrate f(x, y) over D using polar coordinates f(x, y) = y(x² +…

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