Find a parametric representation of the surface in terms of parameters u = x and v = y. NOTE: Enter the exact answer. (a) z + zx² 6y=0 x = u J = U 2 = (b) y² – 10z = 11 X = u y = v 2 =

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: 3. Find a set of parametric equations for the line of the intersection of the planes 3x-3y-7z -4 and…

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Q: Find an equation of the surface obtained by rotating the curve y = 1- sqrt(z) (square root of z)…

A: Given the equation of curve, y=1-z This can be written as z=1-y On squaring both sides, z=(1-y)2…

Q: Sketch and identify the surface given by x2 + 4y + 4z2 = 0.

A: Equation of the surface is given by:x2+4y+4z2=0 we need to identity the surface and hence sketch the…

Q: Consider the surface defined by the equation 2.x2 – 2y2 – z = 0. (a) Choose any one of the variables…

A: The equation is the form z=f(x,y) represents a surface in the space. In this problem the equation of…

Q: Given x+ y +z= 5 and Po(2,2,1), find the following. (a) Find the equation for the tangent plane at…

A: Here is the solution

Q: Identify and sketch the surface 9x² + y² − 2z² — 18x - 4y - 12z - 9 = 0. - Explain the position and…

A: The given surface is: 9x2+y2-2z2-18x-4y-12z-9=0. The given equation can be written as:…

Q: Write the equation for the surface generated by the revolving curve y = 2x +1, revolved around the x…

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Q: Write the equation for the surface generated by revolving the curve x2 - 2y2 = 1 about the y-axis.…

A:

Q: 4. Find the equation of the plane that passes through the point (5, –1,0), and is per- pendicular to…

A: Let's find.

Q: Sketch the quadric surface: r +4y2 +4z2 16. Note: The x, y, & z axes are depicted in red, green, &…

A: The given function is: x2+4y2+4z2=16

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

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Q: X = 1 + 6t y = 2 + 4t, t ER z = 2t A line is defined by the parametric equation L : If the point (a,…

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Q: Find an equation for the surface obtained by rotating the line z = 7y about the z-axis.

A: On solving this we will get

Q: Determine the Cartesian form of the plane whose equation in parametric form is: x = 2 + 3s-2t y =…

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Q: Write the standard equation for 4x 2 - 9y 2-36z =0. Identify the surface: a. b. C. d. 2. Escriba la…

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