A trace of the surface +- z = 0 on the xy- plane is: O Point at (3, 2, 0) O Circle Ellipse Point at (0, 0, 0)

Q: For a given surface z-x^2-y^2=10 Find the parametric representation of the straight line which…

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Q: Find the equation of the tangent plane to the surface z =9-(r² +y2) at the point (1,1,7). Write the…

A: Given surface is z=9-x2+y2⇒x2+y2 +z=9⇒x2+y2 +z-9=0 Take  fx, y, z= x2+y2 +z-9 And, Point say P is 1,…

Q: find a parametrization of the curve. The line passing through (1, 0, 4) and (4, 1, 2)

A: Given: A line is passing through the points 1, 0, 4 and 4, 1, 2.

Q: (х-2)? (у-3)? For the quadric surface, = z², the center of the cone can be found at which point? 9…

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Q: Q1/A- Find the center and radius of the sphere have equation x + 2x + y²-2y + 2²-6z=14. B- Find the…

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Q: Let y= - Find the intersection of these surfaces, Calculate the GB of wrt lex order x>4>2)

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Q: Find an equation for the sphere with center at (-7,8,0) and radius = 9 O x2 + y? O x2 + y2 + z- -…

A: We have to find

Q: 9) Sketch the graph of the equation y² +2²=1 and correctly identify the surface.

A: Given: The equation is y2-x24+z2=1. To sketch: The graph of the given equation. To identify the…

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: w=f(z)=z/(1-z) under transformation IzI=3 Find the image of the circle?

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Q: Identify and sketch the quadric -- = 0 3 2 3 surface z 2

A: For the solution of the problem follow the next step.

Q: Which of the following is the coordinates of all points on the surface with equation z = x³-5xy¹…

A: To find the coordinates of all points on the surface where the surface has a horizontal plane, we…

Q: Give equations for two distinct planes whose trace in the yz-plane has equation y = 4z

A: Given, two distinct planes have trace in the yz-plane has equation y = 4z

Q: Consider the sphere (x − 4)² + (y − 3)² + (z − 5)² = 25 (a) Does the sphere intersect each of the…

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Q: Give equations for two distinct planes whose trace in the xy-plane hasequation 4x + 3y = 8.

A: Given information: The xy-plane has equation 4x + 3y = 8. Calculation: The equation of the plane is…

Q: Let S be the quadric with equation 36x² –4y² –9z² – 36x = 0. Sketch a graph of the surface with…

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Q: Describe the surface whose equation is given by x² + y² + z² + 6y - 2z = 0.

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Q: Evaluate |*(x + 7) – 2y ds where C is the circle of radius 1 centered at (-3,0) and lying on the…

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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…