Directrix of the parabola 5) are 7) ; Directrix : y=7 ") ; Directrix : y = 3 ); Directrix : y=-7 -); Directrix : y= 3 ce

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: Let the triangle ABC and A ', B', C ', the intersections of the tangents to its circumscribed circle…

A:

Q: Find the coordinates of the vertices of the ellipse with foci at (-6,-3) and (10,-3) and has minor…

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Q: A parabola is the set of all points in the plane that are and a equidistant from a fixed point…

A: Given: A parabola is the set of all points in the plane that are equidistant from a fixed point…

Q: find the equation of hyperbola with center (4,-1), transverse axis parallel to the y axis distance…

A: Given: A hyperbola with center 4, -1 , whose transverse axis is parallel to the y-axis. The…

Q: What is the example formula equation for 3d satellite (elliptic paraboloid)

A: To find: Formula equation for 3D satellite(elliptic paraboloid).

Q: A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 208 feet.…

A:

Q: What is the standard equation of an ellipse with major axis of length 22, foci 9 units above and…

A: Since the major axis is of length 22   2a=22⇒a=11 The foci are 9 units above and bellow the center.…

Q: Explain why it is not possible for a hyperbola to have foci at (0, -2) and (0, 2) and vertices at…

A: The standard form of the equation of a hyperbola with center (0,0) and transverse axis on the y-axis…

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

A:

Q: Determine the vertical traces of elliptic and parabolic cylinders in standard form.

A: Firstly the trace of a surface which is actually a cross section or the curves of intersection of a…

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

A:

Q: What is the equation of the hyperbola with Foci at (5, 0) and (-5, 0) and conjugate axis of length…

A: Use basic concept of hyperbola

Q: What must be true of the foci of a hyperbola? The foci must lie --Select--- of the hyperbola and…

A:

Q: What is the center and radius of the sphere that has (1, -2, 2) and (3, 4, -12) as endpoints of a…

A:

Q: What is the standard form equation of the hyperbola that has vertices (0,±1) and foci (0,±5)?

A: If the transverse axis on the y-axis , then equation of hyperbola is…

Q: Show that in hyperbolic geometry, the vertices of a triangle can belong to the same circumference.

A: Hyperbolic geometry comes into consideration when surfaces are curved not like surface of a room or…

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

A:

Q: Find the standard form of the equation of ellipse satisfying the given conditions as  Major axis…

A: It is given that an ellipse whose major axis is horizontal with length 8, length of minor axis is…

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: 2. The arch of a bridge is in the shape of a semi ellipse having a horizontal span of 40 meters and…

A: To find the height at the required value then you should have the equation of the ellipse.

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

A:

Q: find the circumcenter of the triangle whose vertices are (1 3) (0 -2) (-3 1)

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Q: A parabolic arch has a span of 120 feet and a maximum height of 25 feet. Choose suitable rectangular…

A: Given, a parabolic arch which has a span of 120 feet and a maximum height of 25 feet. Both positive…

Q: Point Q of quadrilateral QRST Is (-9,2). What Is the image of Q after QRST has been reflected across…

A:

Q: The drone starts at point (0, 0), the landing pad is at point (11, 3) and the parabolic path must…

A: here we know that parabola is passing through three points (0,0), (11,3) and (16,0) and we also know…

Q: An elliptical arch has a height of 14 feet and a span of 34 feet. Placing the arch on a coordinate…

A:

Q: A bridge is built in the shape of a parabolic arch. The bridge has a span of 120 feet and a maximum…

A:

Q: Find an equation of the conic described;graph the equation.

A: The graph of Ax2+Cy2+Dx+Ey+F=0 is one of the following.a. Circle: A=Cb. Parabola: AC=0, A=0 or C=0…

Q: The middle span of the Golden Gate Bridge in San Francisco is supported by cables from two towers…

A: Given:The middle span of the Golden Gate Bridge in San Francisco is supported by cables from two…

Q: What is the distance between the foci of the hyperbola with foci at (2-√13,3)and (2+√13, 3) and…

A:

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: Find an equation in standard form for the hyperbola that satisfies the given conditions. Transverse…

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Q: Find an equation of the hyperbola having foci at (3, -11) and (3, 7) and vertices at (3, -4) and (3,…

A:

Q: Find an equation of the largest sphere with center (3, 2, 7) and is contained in the first octant.…

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Q: 3. ELLIPSE CENTER= (-1,2) MAJOR AXIS IS HORI ZONTAL AND HAS LENGTH OF IO PASSES THROUGH -1,5)

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Q: Which is the equation of a hyperbola with directrices at x = ±2 and foci at (4, 0) and (−4, 0)?

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Q: Do three points determine a plane?

A: We know by following ways plane can be determined: 1. Three non collinear points determine the…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 4) Radius:…

A:

Q: What is the area of the ellipse with vertices (0,±7) and foci (0,±3)?

A: We know that the equation of ellipse has the standard form as given below: x2a2+y2b2=1 where a and b…

Q: Find the eccentricity of a hyperbola having distance between foci equal to 18 and the distance…

A:

Q: The drone starts at point (0, 0), the landing pad is at point (11, 3) and the parabolic path must…

A: Given

Q: 17. Ellipse: center (-2, 1), vertex (-2,5), passes through (0, 1)

A: Equations of curve is

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: Find the standard form of the equation of ellipse satisfying the given conditions as  Major axis…

A: Given- An ellipse has following parameter, major axis horizontal with length 12, length of minor…

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: Find the coorfinates of the foci, length of the transverse and conjugate axis: 16x2 - 25y2 = 400

A: