a) Parameterize the curve of intersection of the surfaces so that the direction is counterclockwise when viewed from above: z = xy x² + y² = 1 b) Compute the surface area of the portion of the surface z = cylinder x² + y² = 1. xy that lies inside the

Q: 1= {cx,y,?): + = 1, 2= 0} %3D А) b?(а — х)? 3D а? (у? + 2?) в) ь? (а + х)? %3 а?(у? — z') С) 6? (а?…

A:

Q: Does the Divergence Theorem apply to surfaces that are not closed?

A: By Stokes' theorem:

Q: Find the equation of the surface of revolution generated by rotating the given curve about the…

A:

Q: Explain briefly how Vø relates to surfaces of constant o(x, y, x). Hence, use Vø to find points in…

A: For the surface of constants ϕx,y,z=k, the gradient vector ∇ϕx0,y0,z0 is orthogonal to the level…

Q: a) Consider the surface z = Find the tangent plane to the 3. surface at the point (4, 3, 5). (4.04)3…

A:

Q: the surface z = &x + 4y th=

A:

Q: A surface is defined by coordinate or parametric functions of more than two variables. Select one:…

A: A surface is defined by coordinate or parametric functions of more than two variables.

Q: Find the surface area of the portion of the plane z=6-3x-3y which lies in the 1st octant I)2sqrt18…

A:

Q: calculate ∫Cy(x-z) ds, where C is the intersection of the surfaces x2+y2+z2=9 x+z=3

A:

Q: Find the equation of the surface of revolution that is generated by rotating the straight line y = x…

A: The surface of revolution that is generated by rotating x=f(y) around the y-axis is x2+z2=f(y)2 so…

Q: Quadric Surfaces: Identify first the type of three-dimensional surface and sketch. a.x = y² - 6z² b.…

A: We have to define the quadratic surface and sketch it.

Q: Find the "Area" of the "Surface" The part of the paraboloid (x y² + z²) that lies within the…

A:

Q: Find the cylindrical equation for the surface whose rectangular equation is x² + y² - 2y = 0.

A: Given rectangular equation is,We have to find cylindrical equation for the surface.

Q: Sketch the portion of the surface that lies in the first octant: x = z.

A: Sketch the portion of the surface that lies in the first octant: x = z.

Q: 2. a) Give a representation of the cylinder y2 + z² = 16,-2 ≤ x ≤ 3 as a parametric surface. b) Find…

A:

Q: a) Letfx, y) = xe-y+ 5y.Find the slope of the surface z = fx, y) in the y-direction at the point (3,…

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: b) Find the angle between the surfaces x² + y² + ² = 19 and 2 = 2 x² + y²-7 at the point (3, 1, 3):

A:

Q: Closest point is (If there is more than one point, enter a comma-separated list.)

A:

Q: Identify the name and sketch the following surfaces. i) 3y=9-5x ii) x+y =25-z

A:

Q: identify & describe the surface given by - a) x²-y²-2 f 9x-2y=-² x-2y-22-5 D> 4x² 2 452²=1

A: Given: (a) x2-y2-z2+4x-2y-2z=-5 (b) 4x2+5z2=1 To Do: We have to identify and describe the given…