Find the centroid of the region. NOTE: Enter the exact answers. (7, 9) =| (?, ?) %3D y = V1- a?

Q: Use polar coordinates to find the volume of the given solid. V = Inside both the cylinder x² + y² =…

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Q: For the section shown, find the centroid of the shaded area with respect to the XY axis. 14 Diameter…

A: We will use the composite body methods.

Q: Use polar coordinates to find the volume of the region inside both the cylinder x² + y² = 4 and the…

A: The given curves are x2+y2=4                  (1)2x2+2y2+z2=9      (2)

Q: Find the centroid (, y) of the region bounded by: y = 6x +9x, y = 0, = 0, and = 1. %3D I = 9/13 y =…

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Q: y = x + 2, y = 2x − 1, and x = 0 Use the washer method to find the volume (in units3) when the…

A: Answer

Q: Find the centroid of the region bounded by the graphs of y = x? and y = 49. NOTE: Enter the exact…

A: find out the coordinates of centroid.

Q: Find the volume V of the solid below the paraboloid z= 4-x-y and above the following region.…

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Q: Find the centroid of the region. NOTE: Enter the exact answers. (T, T) = | (?, ?) y = 27 1

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Q: Find the volume V of the solid below the hyperboloid z=7- 1+ x2 + y and above the following region.…

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Q: Determine by direct integration the centroid of the area shown in the figures. Where a= 22 cm and b=…

A: Given that  a=22cm. Also,   b=222mm=222×0.1cm=22.2cm   According to the figure, both curves…

Q: Locate the centroid x̄ of the area.

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Q: Use polar coordinates to find the volume of the given solid. Below the paraboloid z = 50 – 2x2 – 2y2…

A: Solve for the volume

Q: Find the centroid of the region bounded by y? = 22x and y? = 44(x - 11). NOTE: Emter the exact…

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Q: 1. Find the centroid of the semicircular area inside x? + y² = a²_with y> 0 Answer:

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Find the centroid of the region. NOTE: Enter the exact answers. (ë, g) = | (?,?) y = z

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Q: Find the centroid of the region. NOTE: Enter the exact answers. (ĩ, T) (?,?) y = /169 x2

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Q: 2) Find the location of centroid for the plane area shown in the figure with respect to x-y…

A: Consider the given diagram, So, it can be observed that the given figure can be divided into four…

Q: The volume of the tetrahedron bounded by the coordinate planes and the plane x+y+z=4 is

A: Given

Q: Find the centroid of the region bounded by y? = 28x and y? = 56(x - 14). %3D %3D NOTE: Enter the…

A: According to question,Given curve,y2 = 28x,y2 = 56x-14

Q: Find the centroid of the region. NOTE: Enter the exact answers. (ĩ, 9) (?, ?) %3D y = x5 1

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Q: y = 1/x 2 2.

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Q: ). Find the centroid of the first quadrant area bounded by the parabola y = x2 and the line y = x.…

A: According to the guidelines answer of first question can be given, for other please ask in a…

Q: Use polar coordinates to find the volume of the given solid. Below the paraboloid z = 50 - 2x² – 2y2…

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Q: Find the centroid of the region. ENOTE: Enter the exact answers. T, g) =|(?, ?) y = V1- x2

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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: What is the region of the solid generated by the graphs of a = y – 4y and a = -y ?

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Q: Find the centroid of the region. NOTE: Enter the exact answers. (ī, g) (?, ?) y = V49 – x² %3D

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Q: Let R be the region that is below y=√x between x= 1 and x= 4. (a) Find the centroid of this region.…

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Q: Find the volume of the solid formed by the region inside the sphere x2 + y² + z² = 16 and outside…

A: The given problem is to find the volume of the solid formed by region inside the sphere and outside…

Q: Determine the y-coordinate of the centroid of the shaded area. y Ix= y2/b 0.48b b Answer: ỹ =

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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: Find the centroid of the region. NOTE: Enter the exact answers. (ï, g) = |(?,?) y = V121 – a² %3D

A: First I have written the area of the quarter circle and then find the centroid of the given quarter…

Q: Use polar coordinates to find the volume of the solid below the paraboloid z = 48 – 3x2 – 3y and…

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Q: Find the volume V of the solid below the paraboloid z = 6-x -y and above the following region.

A: We have to calculate ∬Rz dxdy

Q: Determine the y-coordinate of the centroid of the shaded area. y b Ix= y2/b 0.48b b Answer: y = the…

A: Consider the elemental strip of thickness dx at distance x from y axis.

Q: Use polar coordinates to find the volume of the given solid. Above the cone z = Vx2 + y2 and below…

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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: Use polar coordinates to find the volume of the given solid. Below the paraboloid z = 50 – 2x² - 2y2…

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Q: Find the centroid of the region. NOTE: Enter the exact answers. (T, 9) (?, ?) %3D y = x7

A: We need to find the centroid of the given region. For finding the centroid we will use following…

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: Determine the y-coordinate of the centroid of the shaded area shown. 11" Parabolic - 3" 6" Answer: ỹ…

A: We need to find y co-ordinate of centroid.

Q: Determine the x- and y-coordinates of the centroid of the shaded area. Assume a = 15 in., b = 12 in.…

A: Given that, a = 15 in, b = 12 in Let (b, a) is the point on the curve x = ky2. ⇒b=ka2⇒k=ba2…

Q: Find the centroid of the region. NOTE: Enter the exact answers. (T, 9) =| (?, ?) y = V1- a?

A: Let's find.

Q: Find the volume of the ellipsoid x² + y² + 10z² = 49.

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Q: Find the centroid of the region. NOTE: Enter the exact answers. (ï, j) =|(?, ?) y = /121 – æ²

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Q: Find the centroid of a thin, flat plate covering the region enclosed by the x-axis, the lines x = 2…

A: Given information:

Q: Find the volume of the portion of the ball r2 +y? + z2 < 2 that lies above the cone z = (Ans: (/2–…

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Q: Use polar coordinates to find the volume of the given solid. Above the cone z = Vx2 + y2 and below…

A: The solid is bounded  above by   z=x2+y2 and below by the sphere x2+y2+z2=49. From z=x2+y2, z2=x2+y2…

Q: Find the volume of the solid that results when the region shown below is rotated about the y-axis. y…

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