Determine the area and the centroid (x, y) of the area. 4 m y² = 4x - 4 m

Q: Find the centroid of the region. NOTE: Enter the exact answers. (a, 9) =| (?, ?) %3D y = x7 1

A:

Q: Find the average height of the paraboloid z =x + y over the square 0sxs3, 0 sys3. ... The average…

A: Average height of the paraboloid over the square R is given by H=1Area of the square R∬fdAsee below…

Q: 3.5 3.0 2.5 2.0 1.5 y 10 0.5 0310 15 20 25 30

A:

Q: Determine the x- and y-coordinates of the centroid of the shaded area. [Answer: x = 1.62, y = .789…

A:

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

A:

Q: Find the centroid of the region. NOTE: Enter the exact answers. (¤, g) = |(?, ?) y = 28 1

A:

Q: Find the area of the part of the cylinder x+z= 49 that lies above the square with vertices (0, 0).…

A:

Q: Find the volume of the ellipsoid x2/a2 +y2/b2 +z2/c2 = 1.

A: Let Since the absolute value of the Jacobian for the transformation of Cartesian coordinates into…

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 centroid of the region. NOTE: Enter the exact answers. |(T, 9) (?, ?) y = x10 1

A:

Q: nd the centroid of the region cut from the first quadrant by the circle x +y = 121. e coordinates of…

A:

Q: Find the centroid of the region. NOTE: Enter the exact answers. (ï, 9) = |(?, ?) y = x? 1

A: Explanation of the answer is as follows

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

A:

Q: Find the centroid of the given region. [Give exact answer in fraction form.] y = 2 – x? v = x The…

A:

Q: Find the centroid of the region. NOTE: Enter the exact answers. (î, 9) = (?, ?) y = g10 1

A:

Q: Find the centroid of the region. NOTE: Enter the exact answers. (ĩ, 9) =|(?,?) |(?, ?) y = V25 – a²…

A: We have to find centroid

Q: Find the volume of the solid generated by revolving the region about the given axis. Use the shell…

A: Given that the triangle with vertices (0,0), (0,2) and (6,2) about the line x=6 . Here we have to…

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

A:

Q: Find the area of the surface. The portion of the cone z 4VX2 + y2 inside the cylinder x² + y2 = 4…

A:

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

A:

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

A:

Q: Find the centroid of the region. NOTE: Enter the exact answers. x, y) = |(?, ?) y = V49 – x²

A:

Q: Find the average height of the paraboloid z =x +y over the square - 1sxs0, - 1sys0. The average…

A: Solution

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

A:

Q: Determine the x- and y-coordinates of the centroid of the shaded area. 11 ייד £ Answers: 10% (X,Y)=…

A:

Q: Find the centroid of the region. NOTE: Enter the exact answers. (T, 9) (?, ?) y = x? 1

A:

Q: Find the centroid of the region. NOTE: Enter the exact answers. (¤, g) = |(?, ?) %3D y = =? 1

A: y=x7

Q: Sketh the region and fined the Centroicl of the region bonded by the corves y =2-x? and y =X

A: Topic- centroid of region

Q: Find the centroid of the region. NOTE: Enter the exact answers. (T, g) (?, ?) y = x10 1

A:

Q: 5. Find the surface area of the part of the paraboloid y = 5– x² – 2² that lies inside the cylinder…

A:

Q: Find the centroid of the region. Y NOTE: Enter the exact answers. (T, 9) : (?, ?) y = x3 1

A:

Q: Determine the x- and y-coordinates of the centroid of the shaded area 195 mm 50 mm 50 mm 455 mm

A: A centroid of a body is the geometric center of a body. It is the central point or the mean point of…

Q: Find the outside surface area. Note that the box does not have a top. (Assume a = 1 m and b = 3 m.)…

A: Area of outside surface is  = Area of four walls  = 2a2+2ab. Here given a= 1 m and b = 3 m.

Q: Determine the centroid of the area shown relative to the x-And y-axis.each small square is 2cm

A: Let divide the given figure into three parts.

Q: Find the centroid of the region. NOTE: Enter the exact answers. (7, 9) (?, ?) %3D y = 23

A: The expression for the centroid is: x¯=1A∬xdydx & y¯=1A∬ydydx   Where; Area=A=∬dydx   From the…

Q: Solution with important notes y = x? 3. Find the center of mass of thin plate For the shaded region…

A:

Q: Find the centroid of the region. NOTE: Enter the exact answers. (7, j) =| (?, ?) y = /25 x² నా

A:

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: Find the volume of the solid by the surface f(x, y) = 4 – fæ² - ty? the planes æ = 3 and y = 2, and…

A: Integrals are generally used to calculate the area under the curve or volume of solids within a…

Q: Find the centroid of the region bounded by the graphs y = x2 and y = x + 30. NOTE: Enter the exact…

A: Given region is y=x2 and y=x+30

Q: Find the centroid of the region. NOTE: Enter the exact answers. (ĩ, 9) =| (?, ?) y = /25 – x² |

A: Given , y = f(x) = √ (25-x2) Now,Area(A) = 0 ∫ 5 ydx                   = 0 ∫ 5 √ ((5)2 - x2) dx  .…

Q: Find the centroid of the region. NOTE: Enter the exact answers. (x, y) = (?, ?) Y y = x5 1 8

A:

Q: y 6" 2" 4" 3" - x 4" -6" Using the figure above, calculate the following 1. Total area of the…

A:

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

A:

Q: Find the volume of the solid in the first octant bounded by the cylinder z = 12 – 3x? and the plane…

A:

Q: Find the centroid of the region. NOTE: Enter the exact answers. (T, g) = | (?, ?) %3D y = x4 1

A:

Q: Find the centroid of the region. NOTE: Enter the exact answers. (x, y) (?, ?) = y y=x8 1 8

A:

Q: Find the centroid of the region. NOTE: Enter the exact answers. (7, g) = |(?, ?) y = 1

A:

Q: Find the centroid of the region. NOTE: Enter the exact answers. (ï, §) = (?, ?) y = r

A:

Q: Find the centroid of the region. NOTE: Enter the exact answers. (ë, g) =|(?, ?) y = 23 1

A: Given