Find an equation of the sphere with center (3,0,2) and passin Skecth the sphere. 10 -10 -10 -s 10 y +++++ 10 -10

Q: Write the equations of the following paraballs A) Focus F(0, -3) and guideline y=3 B) Focus F(0, 0)…

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Q: What is the center of the hyperbola with the following equation? Is it horizontal or vertical? (y –…

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Q: Use a system of equations to find the parabola of the form y= ax + bx +c that goes through the three…

A: To find the parabola of the form y=ax2+bx+c that goes through the given points, 4,73,-3,31,-4,57 The…

Q: 19-22 Show that the equation represents a sphere, and find its center and radius. 20. x² + y² + z² =…

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Q: Find the center and the radius of the sphere x + y² += - 4x+ y-6z+13=0 Center: Radius:

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Q: (x + 1)² (y-8)² (v-8)² = 1 - + 9 81

A: Given query is to find the conic form.

Q: Determine the point on the hyperbola -8 x2 + 3 y? = 10 closest to the point (4, 0). 15 10 5 -5 -10…

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Q: What is the length of the transverse axis of the hyperbola 1? - 25 64 O 16 units O 10 units O 8…

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Q: 3. Describe and sketch the graph of the given equation in R³. 1If it is a sphere, find its center…

A: We have to sketch the graph of given equations.

Q: Write the equation of the hyperbola of foci F1(2, −1), F2(2, 4) and focal radius difference equal to…

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Q: (a) , Find an equation of the sphere that passes through the point (-3,2,-1) and centered at the…

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Q: Find an equation of the sphere that passes through the origin and whose center is (9,8,-9). = 0 Note…

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Q: Q5 Is it possible to construct a sphere that pass through the following points? (a) {(0,1, 2, ),…

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Q: Find the vertex, force, and directrix of the parabola x^2=7y

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Q: 3 Which equation is for the hyperbola? O x = a (y – k)² + h (z-h)² (y-k)? = 1 O (z – h)° + (y – k)°…

A: LET'S FIND HYPERBOLA EQUATION,   ANSWER :-  OPTION B IS RIGHT   OPTION A IS PARABOLA. OPTION C IS…

Q: Write the equation of the hyperbola centered at (4, 2). The length of the vertical transverse axis…

A: Write the equation of the hyperbola centered at (4, 2). The length of the vertical transverse axis…

Q: Complete the square to write the equation of the sphere in standard form. Find the center and…

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Q: Find an equation of a sphere if one of its diameters has endpoints (5, 0, 6) and (7, 4, 8).

A: Solution of the problem as follows

Q: Use the information below to write the equation of the hyperbola. The transverse axis of the…

A: This question is based on Conics section.

Q: Find the equation of the parabola y = ax? + bx + c passing through the points (0, 6), (- 2, 2), and…

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Q: Complete the square to write the equation of the sphere in standard form. x2 + y2 + z2 + 9x - 2y +…

A: The given equation of sphere is: x2+y2+z2+9x-2y+10z+23=0

Q: Linear Algebra Write the equation for the ellipse of the foci F1 (1, 1), F2 (−2, 1) and the sum of…

A: The general equation of an ellipse centered at (h,k)  and major axis parallel to x-axis is given by;…

Q: Tutorial Exercise Find an equation of a sphere if one of its diameters has endpoints (7, 9, 9) and…

A: Consider the following endpoints of diameter of sphere: a,b,c=7,9,9d,e,f=3,5,7 The center of the…

Q: Show that the equation below represents a sphere and find its center and radius. 2x2 + 2y? + 2z² =…

A: The general equation of the sphere is, x-a2+y-b2+z-c2=r2   Here, the center of the circle is a, b, c…

Q: Atoy train moves around a circular track, as represented by the figure below. Toy Train The path of…

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Q: Identify the conic section as a parabola, ellipse, circle, or hyperbola: The set of all points whose…

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Q: Use a system of equations to find the parabola of the form y = ax +bx +c that goes through the three…

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Q: Find an equation of the sphere whose endpoints of a diameter are (-2, 0, 5) and (-1, 2, 3).

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Q: (v-3)2 (x+2)² = 1? What is the center of the hyperbola 4 A (-3,2) B (3, – 2) (© (-2,3) D (2, – 3)

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Q: Find an equation of the sphere that passes through the origin and whose center is (3, 4, 2). Need…

A: First we have to write general equation of sphere.

Q: Find the equation of the sphere passing through P(-8, 5, 8) and Q(6, -7, 7) with its center at the…

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Q: Write the equation of the hyperbola – 4. x2 + 9. y = 36 in standard form + 土 = 1 > Next Question

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Q: 3 (a)Complete the square to write the equation of the sphere in standard form. Find the center and…

A: As you does not specify particular question and provided multiple question so I am providing Answer…

Q: Find the vertices and foci of the hyperbola below. (x + 1)² (y – 1)? 1 - 25 11

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Q: Find an equation of a sphere if one of its diameters has endpoints (7,9, 9) and (3, 5, 7).

A: Given end points of diameterA=7,9,9 & B3,5,7

Q: Given the points A(-1,1,5) and B(2,5,0): a.) Find AB. b.) Find the equation of the sphere which has…

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Q: Find the equation of the sphere passing through P(-6, 5, 6) and Q(2, - 1, 5) with its center at the…

A: Given that, P(-6,5,6) and Q(2,-1,5). Obtain the equation of the mid point of PQ.…

Q: Find an equation of a sphere if one of its diameters has endpoints (7, 9, 9) and (3, 5, 7).

A: The endpoints of the sphere we have, (7,9,9) and (3,5,7)

Q: Write the equation of the sphere if (3, 4, 7) and ( - 5, 6, – 3) are the end points of a diamter of…

A: (3,4,7) and (-5,6,-3) are the end points of the diameter of a sphere.

Q: C. Find the length of a, b, and c of the following hyperbolas. 1. y?-x2 = 1

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Q: (a) ) Find an equation of the sphere that passes through the point (1, -2,0) and centered at the…

A: According to Bartleby guidelines, we are supposed to do only one question. if you want more to be…

Q: Which conic section is represented by the equation 2x2 + 4x -y + 9+0

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

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Q: Find the equation of the hyperbola with vertices (-3, –2) and (7, –2) and foci (-6,-2) and (10, –2).…

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Q: 1. Show that the equation represents a sphere, and find its center and radius. 7 + g +7+% – 8G + He…

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Q: Select the correct answer. Which hyperbola has both foci lying in the same quadrant? O A. (- 24)2 (y…

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Q: Where is the center of the hyperbola represented by the following equation? (x-1)² (v + 5)² 25 49…

A: topic- center of hyperbola

Q: (y + h)? (x + k)? = 1 whose vertices: (- 2,-4), (-2, 6)and foci: (-2,-5),(-2,7) Now find the 62…

A: Explained below

Q: Find the equation of the sphere passing through P(- 8, 7, 8) and Q(4, – 1, 7) with its center at the…

A: If the center of the sphere has coordinates h,k,l and radius r, then the equation of the sphere is…

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

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