what is the equation of the geodesic in the hyperbdic upper half-plane that joins -1+i with Iti

Q: Find equations for the sphere whose centers and radii are given in center(0,-1,5) radius 2

A: Equation of sphere centered at (a, b, c) and having radius r is

Q: Find a set of parametric equations for the conic section or the line. Circle: Center:(5,3); Radius:2

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Q: Find the equation in rectangular coordinates of the quadric surfaceconsisting of the two cones φ =…

A: The relation between spherical and rectangular coordinates in polar form is given by the following…

Q: 3. The plane in ' with equation 4x=34 %3D

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Q: The part of the hyperboloid 4x 2 - 4y2 - z2 =4 that lies in front of the yz-plane

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Q: In each part, find an equation of the sphere with center (5, -6, –3) and satisfying the given…

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Q: Let S be the quadric with equation 36x² – 4y² – 9z2 – 36x = 0 • Classify the graph of S…

A: Given, S is the quadric with the equation                                36x2-4y2-9z2-36x=0

Q: What is the relation of the conic section to the vase?

A: Let's find.

Q: How does the eccentricity determine the type of conic section?

A: If e=0 then the conic is a circle. If e=1 then the conic is a parabola

Q: What is the standard form equation of the hyperbola that has vertices (0,±2) and foci (0,±/29)?

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Q: Find an equation for the sphere centered at (1,-5, 4) with radius 4.

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Q: What is the relation of the conic section to the oblong plate?

A: Key Points A conic section (or simply conic) is a curve obtained as the intersection of the surface…

Q: Find the locus of the foot of the perpendicular from the center of the ellipse x²/a²+y²/b² = 1 on…

A: Let end points of chord be P(acosθ,bsinθ) and Q(acosθ-π2,bsinθ-π2)that is P(acosθ,bsinθ) and…

Q: What are the parametric equations for an ellipse centered at the origin with a major axis of length…

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Q: Find parametric equations for the complete parabola x = y2. Answersare not unique.

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Q: Determine the focal distance of a hyperbola if the length of the transverse and conjugate axes are…

A: The focal distance of a hyperbola is 17units.

Q: A triangle is inscribed in a rectangular hyperbola such that the tangent at one of the vertices is…

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Q: In each part, find an equation of the sphere with center (2, –3, –3) and satisfying the given…

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Q: Determine whether the statement"Every tangent line to a hyperbola intersects the hyperbola only at…

A: The tangent line at a particular point is unique as there are infinitely many points in the curve.

Q: Find the standard equation of the sphere that has the points (5, −2, 3) and                  (0, 4,…

A: we know that equation of sphere which has end points of diameter as x1,y1,z1 and x2,y2,z2 is given…

Q: Determine the hyperbolic form of L-

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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: In each part, find an equation of the sphere with center (1, – 7, –8) and satisfying the given…

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Q: State whether the given equation defines an elliptic paraboloid, a hyperbolic paraboloid, or an…

A: 3x2-7y2=z On simplification, we get ⇒z=x213-y217⇒z=x2132-y2172⇒z=x132-y172

Q: What is the relation of conic section to the wall clock?

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Q: Find the radius and center of the sphere described by 3x2 + 3y2 + 3z2 + 6x – 6y = 3.

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Q: Which quadric surfaces have both hyperbolas and parabolas as traces?

A: Consider the given: The intersection of a three-dimensional surface and a plane is called a trace.…

Q: Determine the length of the latus rectum of the following conic section: 16z + 9y? - 64.x- 54y+1 0 O…

A: 16x2+9y2-64x-54y+1=016x2-64x+9y2-54y=-116(x2-4x)+9(y2-6y)=-116(x2-4x+4)+9(y2-6y+9)=-1+64+8116(x-2)2+…

Q: Find an equation of the sphere with center (2,-3,6) that touches the xy-plane.

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Q: What is the relation of the conic section to the milk bottle?

A: The milk bottles have a cylindrical body in majority.  Now, if you can imagine a milk bottle filled…

Q: Write the equation of a sphere of radius 3 in all three coordinates--cartesian, cylindrical, and…

A: It is given that the radius of sphere is 3 .We have to find the equation of sphere in all three…

Q: Find the standard equation of the sphere with the given characteristics - Center: (3, −2, 6);…

A: We have to find the standard equation of the sphere where, center is given as 3, -2, 6 and radius is…

Q: Find an equation of the sphere with center (-3, 2,5) and radius 4. What is the intersection of this…

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Q: In each part, find an equation of the sphere with center (5, –8, –4) and satisfying the given…

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Q: 4. 6x2 - 4y? - 12x - 16y = 34 %3D

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Q: The line segment perpendicular to the transverse axis passing through the center of a hyperbola, and…

A: Consider a parabola figure

Q: Find the equation of the surface of revolution generated by rotating the hyperbola x^2 - y ^2=1 ,…

A: \ Revolution of the hyperbola about its transverse axis generates a surface of two sheets, two…

Q: What does the eccentricity reveals about the conic?

A: We have to define what eccentricity reveals about the conic

Q: What are the intersections of the conic section formed by the points A(0,1),B(2,3),C(5,4),D(1,…

A: Below are graph and input view.

Q: What kind of conic section is given by the quadratic form ? -11x,? + 84x,x2 + 24x2? = 156 Transform…

A: Given quadratic form is-11x12+84x1x2+24x22=156The above conic is determined and transformed to…

Q: The equation of the sphere with center (7,-10, 1) that touches that y-axis is

A: To find the equation of the sphere we need center of the sphere  radius of the sphere.  Here given…

Q: find the standard equation of the sphere with center (4,3,3) and radius 7

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Q: What is the relation of the conic section to the perfume container?

A: Common Parts of Conic Sections While each type of conic section looks very different, they have some…

Q: Discuss one of the important theorems in hyperbolic geometry for understanding.

A: Hyperbolic geometry, is the geometry that can be used by using all the postulate of Euclid accept…

Q: Which of the following conic sections could be formed when a plane intersects both cones of a double…

A: Given.

Q: The equation of the sphere with Center (4,-1,3) and radius √5 is

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Q: Find an equation of the largest sphere with center (5,3,7) and is contained in the first octant. Be…

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Q: What are the coordinates of the highest point where the circular cylinder intersects the Elliptical…

A: We will use lagranges multiplier theorem to find heighest point