(7] identify the following surfaces from the list NO justification needed for this problem Simply write down your choice. (Turnitin) (a) Parabolic cylinder (b) circular Paraboloid (c) elliptic Paraboloid (d) Hyperbolic paraboloid (e) Ellipsoid (f) Sphere (8) circular cone (h) elliptic cone (1) Hyperboloid of one sheet Hyperboloid of two sheet (1) 1. 4x' + y (") () 4x + y

Q: 2. State the names of the following quadric surfaces. (a) The surface z = y² – 2x². (b) The surface…

A: a. this equation is in form of  as sign of A and B is opposite it is  Hyperbolic paraboloid

Q: [10] (1) GIVEN: The surface : xy + 2xz+z z² + y2 + 2, and the point P₁ = (1,– 1,1). Note that P. €…

A: Given surface: xy+2xz+z=z2+yz+2 i.e., xy+2xz+z-z2-yz=2 Let f(x,y,z)=xy+2xz+z-z2-yz Here ∇f=i…

Q: Identify the following quadric surfaces, and sketch a graph using at least three traces for each…

A: Circular Parabolied we put z=0, then x^2+y^2 = 4It's a circle on xy-plane

Q: 1. Find an equation for the set of points whose distance from the plane y = 2 is the same as the…

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Q: Question 11. . Use traces to sketch the surface z? = x² + y². Which of the following is the best…

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Q: y -0.5 -0.75 1.5 0.5 0.25 -15 |(1) (2) (3) |-1.75 1.5 -0.5 0.5 0.25 -0.5 y y -0.5- 0.5 -이125- 0.5 -1…

A: Matched surfaces and contour diagrams:   Surface              Contour diagram (a)…

Q: For the given surfaces, classify the indicated trace (empty set, point, lines, ellipse, hyperbola,…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: ) Let S be the surface given by the equation y? = 9+ xz. Find the point(s) on S that are closest to…

A: We have to find the shortest distance from the point to the plane. We will write the formula for the…

Q: can u please do these two problems step by step so I can follow along and understand how you did it…

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Q: ) I would need help wit

A: 22. Given,                4y2+z2-x-16y-4z+20=0

Q: Consider the quadric surface x2 + y² - z² = 1. Answer the following questions. (a) What type of…

A:

Q: Consider the equation surface S in the three dimensional space given by the equation X = z2+2 (a)…

A: Given the surface S in the three-dimensional space given by the equation x=z2+2. (a) The graph of…

Q: • x² - y² = 2² = 0 2

A:

Q: 1. х2 +2? %3D у 2. 4x2 — 25у? —2? %3D 100

A: According to the given information, it is required to draw the given surfaces. For part (1)

Q: Let (P) be the surface given by the following equation z = 5-x²-y² and (Q) be the surface given by…

A: Given surface P is, z=5-x2-y2    ----(1) For xy projection, put z=0 in (1) we get, 0=5-x2-y2⇒…

Q: (P) is a circular paraboloid around z-axis and (Q) is the surface given by + += 1 This option (P) is…

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Q: Describe and sketch the following set of points defined by the following conditions. (x + 2)² + y² +…

A: Given surface equation    x+22+y2+z-12=9  ,      Given conditions are    x≥-2 ,  y≥0  and  z≥1 The…

Q: Use the computer to plot the surface given by z = x-y. What type of surface is this? Print your…

A: The graph of z=x2-y2 is as follows The given surface is a paraboloid.

Q: 6. Identify and sketch the following quadric surfaces: (a) z=8-x² - y²; (b) x = z² - y²; (c) y²4z²x²…

A: We have to identify and sketch the given quadratic surface.

Q: y? -x* as an ellipsoid, hyperboloid of one sheet, hyperboloid of two sheets, elliptic cone, elliptic…

A:

Q: Justify your answer with appropriate mathematics! For each surface, look at the clues and then write…

A: (a) The cylinder has a radius of 2 units. From the figure, the axis of symmetry is the y-axis. It is…

Q: Let (P) be the surface given by the following equation + 4 and (Q) be a surface given by the below…

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Q: GIVEN: The surface given by : x² + y² + 2z² = 6 and the line L: c(t) = (1 −t, 2+t, 1 +2t), t = R…

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Q: lentify the quadric surface (ellipsoid, elliptic cone, elliptic paraboloid, elliptic hyperboloid of…

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Q: Sketch the graph of the surface and describe it: (a). z = x² + y² + 4 (b). 2x + 4y + 3z = = 12

A: We need to draw curve and describe it.

Q: 2. Draw the following surfaces and name them. variable. • zx² - y² = 0 • 2-x²-2y² = 0 •x-y² +2²=0 -

A: To draw: The below surfaces also describe the name of the figure. (a) z-x2-y2=0 (b) z-x2-2y2=0 (c)…