Given the equation, (x-h+v-k)² =r?,what are the coordanates of the center? The coordinates of the center are

Q: Write the equation of Spheres with radius R.

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Q: Eliminate the parameter and obtain the standard form of the rectangular equation. Hyperbola: x = h +…

A: Hyperbola: x = h + a sec θ, y = k + b tan θ We need to eliminate the parameter to obtain the…

Q: Complete the parametric equations for the line where the planes – 3x – 9y – 12z - 11x + 2y – 10z 33…

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Q: Convert the given equation, -z2- y2 +=1, z20 to an equation in cylindrical coordinates.

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Q: Solve the components of the given equation of conic sections and sketch the graph: а. 9y? — 4x2 +…

A: In this question we have to solve the following question.

Q: Given the following conic section, determine its shape and then sketch its graph. 52? + 4y? + 3х +…

A: Since the coefficient of x2 and y2 are different and they both have positive signs, so it is an…

Q: If a point A has the rectangular coordinate (v2, v2, V3), so its cylindrical coordinates are (2, 5,…

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Q: Decide which of the following equations may represent a circular conic section? Determine the…

A: The general equation of circle is : x-h2+y-k2=r2where centre =(h,k)             raduis =r

Q: What conic section is described by the following equation? 4.x2 + y? + 8x + 4y = 15 O Parabola O…

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Q: Given the following conic section, determine its shape and then sketch its graph. 5x? + 4y? + 3x +…

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Q: Find the equation of the conic in the rotated system that eliminates the cross-product term and find…

A: Given

Q: 1-sketch the following hyperboloid z² – x² – y² = 1 %3D

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Q: Identify and graph the conic whose equation is in attachment.

A: Consider the given equation as 5x2+4xy+2y2-285x-45y+4=0

Q: a) [. Show that the equation 6x + 6y6z + 3x² + 3y² + 3z² = 18 represents a sphere, and find its…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Determine the type of conics for each equation using the discriminant. 24. 4x2+y2 +24x-4y+36 = 0 25.…

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Q: Name the type of conic section defined by the following equation and give a parametrization of it:…

A: We know general equation of circle is given by  center at (a, b) of radius r is given by (x-a) ^2…

Q: Find the parametric equations of the line r = ⟨1, 2, 3⟩ + t(4, 0, -6⟩.

A: Given: r→=1,2,3+t4,0,-6 for any given vector equation of line r→=a,b,c+tp,q,r, parametric equation…

Q: ____ is the distance between the center and the vertices of the conic section whose equation is 9x^2…

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Q: Find the equation of the sphere in standard form that satisfies the given conditions. center C(-1,…

A: Equation of sphere  standard form of sphere equation

Q: Eliminate the parameter and obtain the standard form of the rectangular equation. Ellipse: x = h + a…

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Q: the point c (-3 -1) is rotated 180 degrees clockwise around the orgin. What are the coordinates of…

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Q: Write the equation for the sphere of radius 1 centered at the prigin in the each of the following…

A: The general equation of a sphere in cartesian coordinates is: x-a2+y-b2+z-c2 = r2 Here, r is the…

Q: Graph the line and conic section. r = 8/(4 + cos u)

A: Graph the line and conic section. r = 8/(4 + cos u)

Q: H. Identify the conic sections represented by the following formula a) 2x2 – 8xy + 4x = 12 b) x² + y…

A: I have solved first 3parts only and for all parts solution repost again

Q: Find the equations for the spheres whose center is (7, -1, 5) and radius is 2.

A: To find: The equation of sphere whose centre and radius given. Given: The centre of sphere is 7,-1,5…

Q: Find the coordinates of the four points at which the hyperboloid of one sheet given by x2 y? + 16 z?…

A: This question is related to 3D coordinate geometry, We will solve it using given information.

Q: Eliminate the parameter and obtain the standard form of the rectangular equation. Ellipse: x = h + a…

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Q: Find the solution set in parametric form of the following system: I + 211 + -211 I3 + 214 %3D

A: We have to find the parametric form of the given set of equations.

Q: Find an equation of the conic in the rotated coordinates, and find the angle of rotation. 7x2 + 8xy…

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Q: Transform the general to standard form, determine the center, and its radius. Equation: x + y + 2x +…

A: The equation of the circle is given by x2+y2+2x+2y-7 = 0 To evaluate: The equation in standard form,…

Q: Identify the conic sections represented by the following formula a) 2x2 – 8xy + 4x = 12 b) x? + y -…

A: General form of any conic is given as- ax2+2hxy+by2+2gx+2fy+c=0—(1) We need to identify the conic…

Q: What is the second coordinate of the center of the sphere of the equation below?…

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Q: Determine the length of the latus rectum and distance between the foci of the conic section: 16x^2…

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Q: What is the length of the transverse axis of the hyperbola whose foci are (0,-5) and (0,5), and…

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Q: Find an equation in spherical coordinates whose graph is the parapoloid Z=(X^2)+(Y^2)

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Q: Given the equation: 2x? + 3y? – 6x +6y = 12 Identify the conic and explain how you know.

A: Given: 2x2+3y2-6x+6y=12To identify the given conic:

Q: Graph the image of trapezoid ABCD after a rotation 270° counterclockwise around the origin. 104 4.…

A: We have to find new figure after 270 degree clockwise rotation.

Q: Find the type of conic represented by the equation of the curve given by C=21 - 6xy+29y +6x-…

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Q: Consider the Equation:  x2 + y2 + z2 + 8x - 6y + 2z + 17 = 0 1. Show that the equation represents…

A: x2 + y2 + z2 + 8x - 6y + 2z + 17 = 0

Q: 1) Be the equation:      4x^2 − 24x y + 11y^2 + 56x − 58y + 95 = 0. 1a) Determine the nature of…

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Q: 1-Sketch the following conic sections:. ,2-4y+8-42 0 b- y2 -4y-4x2 -8 3 -s)2 -7(*+1 -1 a- C-

A: Since you have posted multiple questions we solve the first three sub parts of first question for…

Q: In the conic section r2 36y, what is the distance between the focus and the center? %3D 0 6 O 12 O…

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Q: Write the sphere equation x^2 + y^2 + z^2 + 2x - 2y -2z = 33 in standard form, and hence find the…

A: x2 + y2 + z2 + 2x -2y - 2z = 33To Find: The center and the radius of the sphere.

Q: Find the focus, orientation and external conic x?_2ny +y?+2xbys3Q 1. center of the

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Q: Find the formula for the distance between the points P1(a1,b1,c1) and P2(a2,b2,c2) given in…

A: First write the given coordinates in spherical coordinates. a1=r cosθsinϕb1=r…

Q: The equation of the hyperbola whose foci are (-2,0) and (2,0) and length of transverse axis is 2 is…

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Q: The equation x +4y² = 4 in three-dimensional space is an equation of which surface? O Ellipse O…

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Q: Which conic section is represented by the equation 9x2+4y2=36

A: Simple conic section problem......