Find a parametrisation of the hyperbola that is obtained by translating the hyperbola with equation  9x^2 - y^2/16 = 1 by 2 unit(s) left and 4 unit(s) up. A parametrisation is x = ? y = ?

Q: What three dimensional object is generated by rotating the two-dimensional figure about the x-axis?…

A: Find out the three dimensional object generated by rotating the two dimensional figure about x-axis…

Q: Find the minimum distance from the point (5, 0, 0) to the paraboloid z = x2 + y2. (Give your answer…

A: Given:    z = x2 + y2  Point: ( 5, 0, 0 )

Q: The solid whose base is the triangle with vertices (0, 0), (2, 0), and (0, 2), and whose cross…

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Q: Sketch the surface..........CYLINDERS.............x2 + 4z2 = 16

A: Here we have to draw the surface of cylinder having equation  x2+4z2=16

Q: find a parametrization for the curve. the line segment with endpoints (-1, 3) and (3, -2)

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Q: find a parametrization of the curve. The line passing through (1, 0, 4) and (4, 1, 2)

A: Given: A line is passing through the points 1, 0, 4 and 4, 1, 2.

Q: Find a parametrization for the curve described below. the line segment with endpoints (4,4) and…

A: Given,  A line segment with endpoints 4, 4  and  6, 1  We have to find the parametrization of the…

Q: IS filled with circley The world around us Para bolas , e llipses and hyperbolas, In your post…

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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: A suspension bridge with weight uniformly distributed along its length has twin towers that extend…

A: A suspension bridge with weight uniformly distributed along its length has twin towers that extend…

Q: image attached

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Q: The arc of the parabola y = 5x2 from (5, 125) to (15, 1125) is rotated about the y-axis. Find the…

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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: You are given a y=sqrt(36-x^2) curve that rotates about the x-axis. What is the area of the…

A: To find the surface area of rotation of the below curve about the x-axis. y=36−x2

Q: Find the orthogonal trajectories of family of hyperbola with center at the original and the length…

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Q: A suspension bridge with weight uniformly distributed along its length has twin towers that extend…

A: Given information: The cables touch the road surface at the center of the bridge, Then image a graph…

Q: Find the orthogonal trajectories for the family of ellipses with centers at the origin and…

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Q: What are the lengths of the major and minor axes of this ellipse 6 =D1? O Major Axis: 6 units, Minor…

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Q: A suspension bridge with weight uniformly distributed along its length has twin towers that extend…

A: The general equation for a parabola is given as, y=kx2 Let the x-axis represents the road surface…

Q: What is the shape of the vertical cross section of this solid figure that does not pass through the…

A: 2)circle

Q: Find the points on the hyperbolic cylinder x2 - z2 -1 = 0 that are closest to the origin. please…

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Q: Find an arc-length parametrization of the line passing through (1, 0, 1) and (1, 2, 3). Upload an…

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Q: Find a parametrization of the circle of radius 5 parallel to the yz-plane with center (-1, 4, 6).

A: The general form of a parametrization of the circle of radius r parallel to yz-plane with center…

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: find a parametrization for the curve. the line segment with endpoints (-1, -3) and (4, 1)

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Q: a) Find an equation of the sphere with center (1.-3,-5) and tangent to xz-plane.

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Q: Find the centroid of a thin, flat plate covering the region enclosed by the parabolas y = 2x2 and y…

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Q: Explain what is the relation to the conic section

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

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: What is the shape of the vertical cross section of this solid figure that does not pass through the…

A: Topic:- cutting of surface

Q: find the surfase area of ellipsoid obtained by yevoiving the upper-half of the ellipse…

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Q: What is the equation of family of central conics with common foci and axis. Determine its orthogonal…

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Q: Maximize xyz on the ellipsoid

A: See the details solution in below

Q: 3. Find the area of the surface cut from the nose of the paraboloid x = 1-y²-z2 by the yz-plane. Do…

A: Surface area in yz-plane

Q: 3. Find the area of the surface cut from the nose of the paraboloid x = 1-y²-z² by the yz-plane. Do…

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Q: A mirror for a reflecting telescope has the shape of a finite paraboloid of diameter 0.3 meters and…

A: Equation of a circular paraboloid  f=r24d here, f= focal length along the axis of symmetry from the…

Q: Find parametric equations for an object moving clockwise along the ellipse (x2/25)+(y29)=1 beginning…

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Q: Find the points on the hyperbolic cylinder x2 - z2 -1 =0 that are closest to the origin. please…

A: The parametric equation of hyperbolic cylinderx2-z2-1=0 is , x=cos hθ                          y=y…

Q: Parametrize the circle of radius 7 centered at (-2, 3) in the clockwise direction starting at…

A: Here I am attaching image so that you understand each and every step.

Q: A suspension bridge with weight uniformly distributed along its length has twin towers that extend…

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Q: Find the standard form of the equation of an ellipse with the given characteristics. Major axis…

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Q: What is the average distance between the parabola y = 7x(16-x) and the x-axis on the interval…

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Q: Find the area of the surfaces The surface cut from the “nose” of the paraboloid x = 1 - y2 - z2 by…

A: The surface cut from the '' nose '' of the paraboloid x=1-y2-z2 by the yz plane .…

Q: What is the maximum vertical distance between the line y = x + 38 and the parabola y = interval [–…

A: Given line equation is y=x+38 Given parabola equation is y=x2 From the above two equations x2-x-38=0…

Q: Find the equation of the tangent plane to the hyperboloid in 2 sheets x2 - y2 - z2 = 4 at the point…

A: We have to find the equation of the tangent plane to the hyperboloid x2-y2-z2=4 at the point 3,2,4.

Q: Sana wants to recycle some elliptic cardboard into rectangular name plates. The minor and major axes…

A: Given problem is : Sana wants to recycle some elliptic cardboard into rectangular name plates. The…

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

Q: A suspension bridge with weight uniformily distributed along its length has twin towers that extend…

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Q: ) Find an equation of the tangent plane to the paraboloid defined by -- 4x² + 5y² at the point (,-2,…

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