Consider the surface given by the parametric vector function (image)   1. The graph of r (u, v) is the same graph of the surface z2 = x2 − y2   2. The surface is smooth in all its points.   which is correct, incorrect or both

Q: Describe and sketch the surface (x2/16) - (y2/9) + z2 = -1

A: The given surface x216-y29+z2=-1. We have to sketch the graph of the surface.

Q: 32²+62-4x-3y+2=0. 1. identify the surface: Present a well-defined sketch of the surface.

A: Given, the surface               2x2-3z2+6z-4x-3y+2=0

Q: Sketch or describe the surfaces in R³ of the equation presented x² + y} – 2x = 0

A: The equation is x2+y2-2x=0

Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces at the…

A:

Q: 8. Find the parametric equations for the plane that passes through the points: P (2, -2, 3), Q (0,…

A:

Q: Determine the Cartesian equation of a plane that has x-, y-, and z- intercepts 1/3, 1, and -1/2,…

A:

Q: classify and sketch the surface given by x2+2y2+z2-4x+4y-2z+3=0 (indicate the vertex coordinate)

A: Here we have given a surface equation as below:  x2+2y2+z2-4x+4y-2z+3=0 The surface given by the…

Q: Find an equation of the plane containing the point (2,1,-1) and parallel to the plane 3x – y + 2z =…

A:

Q: Explain what it means for a surface to be orientable.

A: They are the surfaces for which we can define clockwise consistently. e.g. Cylinder and spheres are…

Q: Representative Seats State A B C D Total Standard Divisor Representative Seats State A B C D Total…

A: Representative Seats 80           State Population Standard Quotas Round Down Round Up Geometric…

Q: Find a parametric representation for the surface. the plane that passes through the point (0, -1, 5)…

A:

Q: Consider two non-parallel lines L1 and L2 in R2 with the following parametric equations: (3,6) +…

A: Given : L1 = (3, 6) + s(3, -4) and                   L2 = (-4, -6) + t(2, -4)

Q: Find a parametric representation of a straight line passing through (1,2,1) in the direction of…

A:

Q: Surface Plane Point z = V 98 - x? x = 9 (9, 1, 4) 100 100 50 of -50 -100 50 10 10 -50 -100 -10 -10…

A:

Q: 7. Find the scalar equation of any plane which contains the line = (1,2,1)+ t(3,6,-1)

A:

Q: 3. Find a set of symmetric and parametric equations of the line passing through the point (1, 4…

A: This is the problem from the vector algebra and 3D geometry.

Q: Find a parametric equation for the line through the point (6,5, - 3) and perpendicular to the plane…

A: Given plane is, 7x+4y+4z=15 Since, the line is perpendicular to the plane then the normal vector…

Q: Sketch the surface given by the equation x2+z2/3+y=3 indicating the points where the surface…

A: Sketch the surface given by the equation x2+z2/3+y=3   indicating the points where the   surface…

Q: Consider the plane x-y-z-8= 0. Find the point in this plane closest to the point (1, 0, 1).

A:

Q: Find the distance from the point (2,-3,5) to the plane passes through the points (1,0,-3), (3,4,-6)…

A: (b) Given point P2,−3,5 and a plane passes through the points 1,0,−3, 3,4,−6 We have to find the…

Q: Sketch the surface of f(x,y)

A: To sketch the function

Q: y² - (z²/3) = 1 + (x²/12) sketch the quadric surface. emphasize the traces on the coordinate planes…

A: Given a quadric surface y2-z23=1+x212. YZ trace: When x=0, we get y2-z23=1. This is a hyperbola on…

Q: Find a parametric representation for the surface. the plane that passes through the point (0, -1, 2)…

A: Given that: The plane passes through (0,-1,2) and contains a vector 4,1,5,-3,4,2. The parametric…