AREA UNDER THE PLANE 6x +4y +z = 12 above the disk W/ BOUNDARY CIRCLE

Q: Find the surface area of z=x2+y above the triangle with vertices (0,0),(2,0),(2,2)?

A: The surface area of a function z=f(x,y) over a region D is given by: Surface Area= ∬D ∂z∂x2+∂z∂y2+1…

Q: Determine the distance of the centroid from the x-axis for the area bounded by the curves y?=4x, x-0…

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Q: calculate the area of that part of the surface z = 2xy which is bounded by the planes   x+y=1, x=0,…

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Q: 8. The region in the first octant bounded by the coordinate planes, the plane y = 1 – x, and the…

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Q: The solid region bounded on the sides by the paraboloid z = 4-x-y, above by the plane z= 3, and…

A: The Equation of paraboloid: z = 4-x2-y2The equation of upper plane: z = 3The equation of lower…

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 3x + 3y R:…

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Q: Sketch the region R in the XY plane bounded by y=x^2, x=2, y=1

A: Given Functions are y = x2 , x= 2 , y =1

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 3 + 4x3/2…

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Q: The region bounded by y = v9– x² and y = 0 has an area of . Find the y-coordinate of its centroid.

A: Suppose the region is bounded by fx and gx on a,b where fx≥gx .Assume centroid is denoted by x¯,y¯…

Q: Find the area of the elliptical region cut from the plane x + y + z = 1 by the cylinder x 2 + y 2 =…

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Q: Find the area and centroid bounded by x=y^2+4y, x=0. Graph

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Q: Determine the area of the region R that lies (between the parabolic curve and the straight line)…

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Q: Find the centroid of the region that is enclosed between: y = x and y = 2 – 2?.

A: Let fx=2-x2, gx=x. Find the intersections. fx=gx2-x2 =x2-x2…

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 15 + 4x…

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Q: A solid is formed by revolving about the y-axis, the area bounded by the curve x^3=y, the y-axis,…

A: Solution :-

Q: Compute the rotated area bounded by y = 2x, y = 8 about line x = 3 Compute the rotated area bounded…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Calculate the surface area of the z=x²+y surface on the triangular region with vertices (0,0), (1,0)…

A: Let z=fx,y. Differentiate the function fx,y with respect to x and y, to obtain fxx,y and fyx,y.…

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 3 + 4x3/2…

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Q: find the area of the surface given by z = f(x, y) that lies above the region R f(x, y) = 9 − y2 R:…

A: Consider the given:

Q: 2 Find the location of centroid of shaded area with respect to reference axes x ar F16 cm

A: Given:

Q: Find the area of the surfaces The portion of the plane y + z = 4 that lies above the region cutfrom…

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Q: A flat plate (lamina) with uniform density p occupies the region R bounded by the curve y = x? + 1,…

A: follow next step

Q: Q1) Find plane area bounded by y = 2,y = 6 – x, and y = 8 - 3x using double %3D

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Q: A region R consists of a square bounded by the lines x = -1, x = 1, y = 0, and y = -2 and a half…

A: The given region is as follows: The area of region is  A=∬RdA  =Area of semi-circle of radius…

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) 13 + 9x -3y…

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Q: Find the area of the surface given by z = f (x, y) that lies above the region R. f(x, y) = 3 + 2x3/2…

A: Consider the function. fx,y=3+2x32 The surface area can be calculated as, S=∬R1+fxx,y2+fyx,y2 Now,…

Q: 6. Find the centroid of the area bounded by the curves y =x; xy-y.

A: Consider the given function. y=x, x=y2-y Put both functions equal to find the value of y.…

Q: Find the centroid of a lamina enclosed between the circles of radius 1 and 2 centred at the origin,…

A: Consider the diagram of the lamina as per given information, The centriod of the lamina is defined…

Q: Find the area of the portion of the surface z=f(x,y) = x^2+ y^2 that lies below the plane z = 9.

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Q: find volume 24. The region in the first octant bounded by the coordinate planes and the planes x + z…

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Q: 3. Region bounded by y = x2, x=0 and y=15, rotated about the x-axis %3D

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Q: endicular to the plane z + 3y – x = 7 and containing the points (2, 5, 0) and (0, 2, -1)

A: Here we have to find the equation of plane which is perpendicular to the other plane.

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. 3 + 6x3/2 f(x, y) R:…

A: In this question, we need to find the area of the surface.

Q: Determine the y-coordinate of the centroid of the shaded area. x = ky? I---x

A: The given problem is to find the y coordinate of the centroid of the given shaded region. Shaded…

Q: Find the area of the surface that is obtained by rotating the graph of X = 1+ Y² (Y = 1 to Y= 2)…

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Q: find the area of the surface given by z = f(x, y) that lies above the region R.f(x, y) = 9 − y2 R:…

A: Given Data The function of curve is z=f(x,y). The equation of region is f(x,y)=9-y². The vertices is…

Q: Determine the abscissa (X) of the centroid for the shaded area as shown. y-axis 4 2 X-axis 4 2

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Q: find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 4 − x2 R:…

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Q: Determine the area of the surface of revolution of x=sqrt{y} from (1,1) to (2,4), rotated about the…

A: The equation is x=y.   Determine the derivative dxdy=12y   The formula for the area of surface…

Q: Find the area of the plane region bounded by the curves y = 2", y = 3", x = -1, and r = 1.

A: Area of region bounded by curves

Q: Q1,- A- Locate the centroid (X only) of the shaded area y=12-3x Fig.L.A

A: X= My/M  Y= Mx/M  X,Y are coordinate of centroid.

Q: Find the centroid of the semicircular area inside x2+ y2 = a2 with y ≥ 0. Show the graph for it.

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Q: A solid is formed by revolving about the y-axis, the area bounded by the curve x^3=y, the y-axis,…

A: To find the centroid of the solid formed by revolving the below-bounded region about the y-axis.…

Q: タ=kr

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Q: Find the area of the surface that is obtained by rotating the graph of X = 1+Y² (Y = 1 to Y= 2)…

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Q: Use Ring Method Rotate the region bounded by y = x2 – 2x + 4 and y = x + 14 about the x – axis.

A: The given curves are y=x2-2x+4 , y=x+14 and x -axis To find: the volume the region bounded by the…

Q: Stress quadric surface of Cauchy given by 6ij<132= ±6,r2 ulgn O

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find the area of the elliptical region cut from the plane x + y + z = 1 by the cylinder x2 + y2 = 1

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Q: The region in the first octant bounded by the coordinate planes, the plane y + z = 2, and the…

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