Match the following surfaces with their equations and names. Write the appropriate number (for the equation) and letter (for the name) next to the surface it describes.

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

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Q: Find the angle of intersection of the circles, x^2+y^2-4x=1 and x^2+y^2-2y=9

A: Given: x2+y2-4x=1x2+y2-2y=9 To Find: The angle of intersection of the circles. Concept: If two…

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

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Q: Which of the following represents the equation of the surfaces with the following four views? Front…

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Q: ecall the equation for a circle with center (h,k)(h,k) and radius r. At what point in the first…

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Q: Identify and sketch the surface of each of the following 4 equations. Label the intercepts and…

A: Identify and sketch the surface of the following equations1. 4x2-3y2-2z2=02. 25x2-100y2+16z2=-400

Q: 2. Determine the center and the radius of each circle. a) (x+1)2 + (y – 1)2 = 16 b) (x - 2)2 + y² =…

A: We have to determine the centre and the radius of each given circle

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: Identify the surface with equation 9r? - 4y? + 16z? - 144 = 0. %3D

A: Given the equation : 9x2-4y2+16z2-144=0 We know Equation of hyperboloid of one sheet:…

Q: Homer wants to identify the center and radius of the circle defined by the equation x² + y² – 14x +…

A: Please refer to the image below.

Q: Write the equation of a circle, in general form (x² + y² + Bx + Cy + D = 0), centered at the point…

A: The question mentions that the circle is centered at the intersection of lines, 2x+y=-10x-2y=5 Now,…

Q: Complete the square to write the following equation as standard equation of a sphere and find center…

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Q: Mr. Brady asked Rachel to come to the board and draw a circle on a coordinate plane defined by the…

A: A circle is a closed figure in which all points on the circumference on a circle are equal distance…

Q: name the surface represented by the equation r^2+z^2=4-2z

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Q: Describe in words the surface whose equation is given. p = 5

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Q: a) makes horizontal traces, shows the development and graph b) make three vertical traces, show the…

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Q: The equation of a circle is given by (x + 3)² + (y – 2)² = 9. Find the coordinates of the center of…

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Q: x² + + =1 y2 9. 4

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Q: Identify and sketch the surface of each of the following 4 equations. Label the intercepts and…

A: Identify and sketch the surface of the equation25x2-100y2+16z2=-400

Q: Sketch the given surface

A: Given: x42+y82+z122=1 The given equation is an ellipsoid.

Q: Which of the following correctly depicts the sphere given by the equation: x2 + (y - 2)2 + (z - 2)2…

A: Given: x2 + (y - 2)2 + (z - 2)2 = 4

Q: find the equation of a sphere with the line segment AB as one of its diameters, where A(-3, 2, 1)…

A: We have to find the equation of a sphere with the line segment AB as one of its diameters, where…

Q: Build surfaces and determine their appearance (name)3x2+y2+9z2-9=0

A: 3x2 + y2 + 9z2 - 9 = 0 Hence, 3x2 + y2 + 9z2 = 9  Or, x2 / 3+ y2 / 9 + z2 / 1 = 1  This is the…

Q: photo attached

A: From the given statement,

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: 1. Find the coordinates of the center and the measure of the radius for a circle whose equation is…

A: We know, the equation of a circle having coordinates of center (h,k) and radius r units is Given by:…

Q: Describe and sketch the surface in R3 represented by the equation x+y = 2.

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Q: Match each equation to the appropriate graph and classify (name) the quadric surface. c. -x2 – y? +…

A: Standard equations of quadric surfaces: a) Ellpsoid: x2a2+y2b2+z2c2=1 b) Hyperboloid of one sheet :…

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

A: The given equation is the quadric surface such that,Quadric Surface- Quadric surfaces are those…

Q: Name the surface represented by the equation r2 + z2 = 4 -2z. Justify your answer

A: r2 + z2 = 4 -2z r2 = x2 + y2 Hence, x2 + y2 + z2 = 4 - 2z

Q: Determine graphically the coordinates of the vertices of the triangle, the equation of whose sides…

A: Given the equations of sides of the triangle are

Q: Write an equation of a circle where the center is (4,-3) and the radius 4. OA. (x +4)2 + (y – 3)2 =…

A: Answer: B.x-42+y+22=16

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: Write the equation for the above surface.

A: The surface represents the cylinder; with circle in the xz-plane. x2 + z2 = 1  (radius of the circle…

Q: For questions 8-9 consider the surface described by

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Circle the equation that generates the surface shown below.

A: Solution for 9 (a): The equation that generates the given graph is choice (e): x2+y22=z2

Q: Draw one crosscut for a fixed z value, one crosscut for a fixed y value and one crosscut for a fixed…

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Q: Find the center-radius form of the equation for the circle with a diameter of endpoints (-1, 3) and…

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

A: Given. We are given equation in X Y and z such that X²+Y²-2X-6Y-Z+10=0 We need to find The behaviour…

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: What is the equation of the circle with a center at (−3,8) and a radius of 7? The equation is…

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Q: Transform the given general equation of a circle to standard form, then, give the coordinates of the…

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Q: Identify the surface with equation o = = 7

A: Spherical coordinates: The point Pρ, θ, φ represents a point in the spherical coordinates, where ρ…

Q: Find the equation of the family of circles whose center is at the y-axis. A. y "+ 3y + 7 = 0 В. ху "…

A: Please refer the attached image for complete solution.

Q: Describe and sketch the surface in ℝ3 represented by the equation x + y = 2.

A: The graph is a vertical plane ( that is, perpendicular to the xy-plane) that intersects    the…

Q: 1. Determine the equation of a circle with the center at origin and a radius of 6 units? y2 35 c. x2…

A: 1) Given:      Radius r=6 units. Equation of circle with center at origin is               x2+y2=r2…

Q: Find the center and radius for the circle defined by the following equation: x2 + y2 + 6x - 12y + 20…

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Q: Write the equation of the circle using the graph below.   a)  (x + 1)2 + y2 = 9   b)  (x + 1)2 +…

A: To find- Write the equation of the circle using the graph below. x + 12 + y2 = 9 x + 12 + y - 32 =…

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 the surface represented by equation: 9x^2 + y^2 - z^2 + 2z -10=0

A: Given :9x2+y2-z2+2z-10=0