c. y+z? = 1 |3|

Q: 3. The equation of a circle centered at (1,1) with radius 4. a) x? + y? + 2x + 2y – 2 = 0 b) x2 + y?…

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Q: Consider a closed rectangular box with a square base with side æ and height y. a. Find an equation…

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Q: Select a correct name for this surface and point out the lowest point. O A cylinder, (-1,2, – 1) O A…

A: As we already know that each cross-section of a vertical cylinder of the form z-c=(x-a)2+(y-b)2 is…

Q: Consider the following equation of a quadric surface. y? x2 225 225 a. Find the intercepts with the…

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Q: • Which of the following equations has a graph of a sphere? a. x2 + y? + 2² +x + y+ z + 3 = 0 b. x?…

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Q: y? Assume you are given the surface S with equation p2 9. 1.

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Q: Given -2-x2 -,2 = 1 (a) Write the equation above in standard for (b) Identify the surface. (c) What…

A: Given that: z2-x2-y2=1

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Q: Show that the given equation represents a sphere and find its center and radius x² + y2 + z? + ax +…

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Q: d. x+ z = 5

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Q: Let h, k, r, m, n be constant and m, n> 0. A possible graphical representation for the surface of (y…

A: Given Equation:      r-z -y-k2n2 = x-h2m2

Q: 21 y2 a. x + 1 %3D

A: The given equation is x21+y29+z24=1We know the general equation of ellipsoid is x2a2+y2b2+z2c2=1So…

Q: Q: Discuss fallowing the Surfaces' and find ntercepts and Tra ces . ux? +uys +z² + 2 - 16 =0 ·

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Q: escribe and sketch the surface in R*represented by the equation x + y = 2.

A: Given that - Describe and sketch the surface in R³ represented by the equation x + y = 2.

Q: Moving to another question will save this response. Quèstion 13 Surface at 0 = 30° and r= 10 is a.…

A: solve

Q: Use appropriate software to sketch each of the following surfaces and identify it. State the name of…

A: Using Geogebra graphing software to plot these 3D graphs. All are shown in the below images.   i)…

Q: -3-3 -2 1 0 1 2 10 1 2 2 Identify the equation of the surface. y? 1 9 4 22 y? = 1 9 y? O. 4 9. Oz =…

A: Given the graph:

Q: What is the measure of the radius of a circle defined by x²+y²+8x+8=0? a. 2/2 Where is the location…

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Q: dentify the surfaces of the following equations by converting them into equations in the Cartesian…

A: The given data is: To identify the surfaces: z2=4+4r2

Q: Which of the following equations describes a circle on a coordinate plane with a radius of 8 units?…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Describe in words the surface whose equation is given. p = 7 O a circular cylinder with radius 7 and…

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Q: Consider the following equation of a quadric surface. 400 400 a. Find the intercepts with the three…

A: The given equation of a quadratic surface                   y2400-x2400=z ⋯⋯⋯⋯⋯ (1) To find     The…

Q: (a) What does the equation y = x represent as a curve in R?? O ellipse O cirde O hyperbola O…

A: We want to find true options.

Q: Find the surface area of the cone frustum generated by revolv-ing the line segment y = (x/2) +…

A: Consider the given line segment,The surface are of the cone frustum generated by revolving the line…

Q: - Constructing a Coffee Can A 39-ounce can of Hills Bros." coffee requires 188.5 square inches of…

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Q: Give a geometric description of the following set of points. x² +y? +z? - 10x+ 16y - 12z +61 = 0…

A: solutionGiven equation: x2+y2+z2-10x+16y-12z+6--1The equation is of the…

Q: Name the surface and draw an accurate Graph of y = x +z? in R'.

A: The surface is an paraboloid. The general equation of a paraboloid that is symmetrical about the…

Q: What are the coordinates of the center C; and the measure of the radius r of a circle whose equation…

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Q: Which equation represents a circle whose center is located at (-6, 2) and whose radius is /10 units?…

A: Given center of circle (h,k)=(-6,2) radius of circle=10 To evaluate equation of circle

Q: 5. The equation x² + y? + 2 y +z2 - 2 z = 0 is a sphere. Determine its center and radius.

A: Follow next step

Q: Sketch and describe the surface created by p=2 csc(ø).

A: Coordinate systems are used to represent a point in three dimensions. The cylindrical-coordinate…

Q: 3. Name the surface and graph the given equations in R': a. z+x = 1 b. 2x+3у%3D6 c. y = sin x d. z…

A: Since multiple subparts are posted, we will answer the first three subparts. To get the solution of…

Q: Answer the question below: 1.) The student task is to find an equation of the level of surface of…

A: We want to find the equation of the level surface.

Q: 32. Which of the following is the trace of the surface in the plane y=3? * O Hyperbola O Ellipse O…

A: Given, To evaluate trace of the surface in the plane at y=3

Q: Match the following surfaces with their equations and names. Write the appropriate number (for the…

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Q: 3 2.59 Describe the surfaces defined by the following equations. a. p = 13 0=25 b. 0= c. 9=4

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Q: Match the equation with the surface it defines. Also, identify each surface by type. 1. x = y? - z2;…

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Q: What sort of surface is represented by the equation r = 2? Circle ) Hyperbolic Paraboloid Cone O…

A: which surface we can represent by radius that sort of surface :

Q: = V16 – x², -2<x<3, is rotated about the x-axis. Find the area of the resulting surface.

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Q: A possible graphical representation for the surface of equation (y -k)? +B(x-h) = 0, with B > 0, is:…

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Q: Which of the following is the graph of the surface whose equation is given by -x2 + y² + z² = 1? a.…

A: Given equation: -x2+y2+z2=1

Q: Identify and sketch the section of the surface at x = 0. 1 Туре: 61 61 61 61 4. 4 4. 4- 2 -8 -6 -4 4…

A: Let's find.

Q: Which of the following equation describes a circle on the coordinate plane with a center at (2, -3)…

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Q: All circles whose center is 5 units away from the y-axis O () +y - (r+ 5)y" =0 O (y) +y - (z ± 5)y"…

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Q: raph and identify the shape of the following surfaces given by the following equation (as well as…

A: The equation is x29+y225+z24=1

Q: 2. Find the center and radius. Then sketch circle. x² + y? +8x-2y+15 = 0 24ニ(7ート)ナっけ) (12-ット)+ (8す2)

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Q: Write the equation and determine the type of surface obtained by rotating this line around the…

A: When we rotate the given equation around y axis, we got hyperboloid:

Q: Identify and sketch the section of the surface at x = 0. 16 16 Type of the surface:

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Q: 2. In each part, match the contour plot with one of the surfaces in the accompanying figure by…

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