The attached figure shows the surface S₁: z = x², bounded in the first octant by the surface S₂ : 2y + z = 4. 2 2y + z = 4 I I I I I S₁ y=2-2 Y The approximate area of surface S1 in linear units squared corresponds to: z = x 8

Q: Evaluate SfF.ds where F = (3xy², 3x²y, z³) and M M is the surface of the sphere of radius 3 centered…

A: We will use divergence theorem to find surface integral of given vector field  If region R bounded…

Q: Hiwi Find the distance from the peint (er)tathe -Plane -4X-+4+ 2=4.

A: Recall:  The distance between the point (x0,y0,z0) to the plane ax+by+cz+d=0 is…

Q: For an area A in the x-y plane, in the expression I₂ = Ix+ly, the term /₂ is the: Minimum…

A: Introduction : As per definition, The polar amount of inertia is the total sum of the moment of…

Q: Find I, Iy, Io, X, andy for the lamina bounded by the graphs of the equations. y = √√√x, y = 0, x =…

A: Given that the equations is:                                To find: for the lamina bonded by the…

Q: B- Find the area of the surface generated by revolving the curve y = √2-x² about x-axis

A:

Q: S²S²³²S²(x + y = z 10 (x+y-z) dz dy dx = 9 NICO 27 8 27 2 A O .BO .D

A:

Q: the surface area E = 9(x1 4₁2)

A:

Q: The slope of the surface z = xy² in the x- direction at the point (2, 3) is O 12 O 8 O 1 O 9 O 10

A: The slope of the surface z = f(x,y) in the x-direction at (x0,y0) is given by [∂z/∂x](x0,y0) =…

Q: Find the area of the plane z 2y + 5z = 13 cut out by the cylinder x² + y² = 9. area=

A:

Q: S is the lower portion of the sphere x2 + y2 + z2 = 25 cut by the cone z = √√√x² +

A:

Q: A heavy rope, 60 ft long, weighs 0.7 Ib/ft and hangs over the edge of a building 130 ft high. (Let x…

A:

Q: Write the M-file script to find the area of the surface generated by revolving the curve y = 2√x,…

A: Given, a curve .It is required to find the surface area of the surface generated by revolving the…

Q: x=linspace(1,5*pi/3,50); y=linspace(-pi/2,pi/2,50); z=3*sin(x)^2+y^2+7; how many square units of…

A: The given function is z=3y2sin2x+7 and x=1,5π3,50 , y=-π2,π2,50. To determine: How much fabric is…

Q: Evaluate | F-dS, where F(x, y, z) = (3y, –2x, –), %3D and S is the surface that is composed of the…

A:

Q: Find the area of the surface given by the graph of z = f(x, y) = Vx² + y² over the rectangle R with…

A:

Q: (a) The part of the surface z = 1+ 3x + 2y² that lies above the triangle with vertices (0,0), (0,…

A: a) Given part of surface is  z=1+3x+2y2, which lies above the triangle with vertices (0, 0), (0, 1),…

Q: Find the Surface area of the portión of the cylinder ya + z² =9 above the rectangle in the xy plane.…

A: Cylinder y2 + z2  = 9,z = 9-y2,0 ≤ x ≤ 2,and-3 ≤ y ≤ 3