What is the highest point on the ellipse that is the intersection of the plane z+y+ 2z=2 and the paraboloid z = +y?

Q: Determine the greatest and least distance from the origin to a point on the ellipsoid 9x2+4y2+z2=36

A: Here is the solution of the given problem. Application of Lagranges Multiplayer.

Q: What is the length of the minor axis of the ellipse 4x² + 32x + y² – 4y + 52 = 0? 0 4/3 0 4 0 8 O 45

A: Topic = Ellipse

Q: A mirror is shaped like a paraboloid of revolution and will be used to concentrate the rays of the…

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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: What.conic section is described by the follawing equation 4z +y |8z | 4y=15 K ASperbola D Ellipse…

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Q: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

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Q: Find the points on the ellipse 4x + y² = 4 that are farthest away from the point (1, 0). (х, у) %3D…

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Q: Give ONE example of a plane P that is parallel to one of the coordinate planes (the ry-, xz- or…

A: The given equation of the Hyperboloid can be modified as shown below: x28-y24-z23=1    ⇒…

Q: A searchlight is shaped like a paraboloid of revolution. If the light source is located 4 feet from…

A: A searchlight is shaped like a paraboloid of revolution. If the light source is located 4 feet from…

Q: What is the equation of an ellipse with its center at (-2, 1), a major axis 16 units long, and…

A: Write equation of parabola

Q: The plane 15x + 20y + 40z = 195 intersects the cone z = x² + y² in an ellipse. The sum of the…

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Q: A cooling tower, such as the one shown in the figure, is a hyperbolic structure. Suppose its base…

A: Let the tower be a hyperbola centered at the origin as shown in the figure. Since the lowest…

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0). (x,y)=(?)…

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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 points on the ellipse 3x + y = 3 that are farthest away from the point (1, 0). %3D smaller…

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Q: The hyperbola in Position I opening up opening down in Position II y² x² 4 16 1 is

A: Topic :- geometry

Q: Find the dimensions of the largest rectangle with sides parallel to the axes that can be inscribed…

A: Let the dimension of such a rectangle be 2x by 2y. Clearly (x, y) is point on the ellipse.

Q: What is the highest point on the ellipse that is the intersection of the plane x + y + 2z = 2 and…

A: Given  the intersection of the plane x+y+2z=2 and the paraboloid z=x2+y2

Q: A mirror is shaped like a paraboloid of revolution and will be used to concentrate the rays of the…

A: It is given that The cross-section is a parabola. Let the vertex of the parabola be at the origin of…

Q: 2. Find the standard equation of the ellipse which satisfies the given conditions. a. Center (2,1),…

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: Find the envelope of the family of ellipses defined by the equation x2a2+y2b2=1 provided that…

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Q: The plane 6x + 8y + 60z = 700 intersects the cone z = x + y in an ellipse. The sum of the z-…

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Q: Find the equation of the ellipse that has center C (0, 4), foci F1 (0,0) and F, (0, 8), and major…

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Q: The plane 9x + 12y+ 40z = 275 intersects the cone z = coordinates of the highest and lowest points…

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Q: Determine the equation of ellipse in standard form with center (2,3), semi-major axis is 5, vertical…

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Q: 19. The center of the ellipse 4x2 + y2 -16x - 6y – 43 = 0 is at: %3D

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Q: What is the highest point on the ellipse that is the intersection of the plane z+y+ 2z = 2 and the…

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Q: Find the standard equation of the ellipse whose major and minor axes are the transverse and…

A: We need to find standard equation of ellipse.

Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is %3D…

A: Solution is here

Q: Find the largest triangle that can be inscribed in the ellipse (x2/a2)+(y2/b2)=1 (assume the…

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Q: Compute the length of the latus rectum of the ellipse x2 + 2y2 +4x+ 4y +4=0

A: Given:    x2 + 2y2 +4x+ 4y +4=0

Q: Show that the ellipse x*/a? + y*/b? = 1 and the hyperbola x/A? – y/B² = 1 are orthogonal…

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Q: What is the highest point on the ellipse that is the intersection of the plane z +y+ 2z = 2 and the…

A: I am going to solve the given problem by using the Lagrange's Multiplier method to get the highest…

Q: The plane x + y + 2z = 2 intersects the paraboloid z = x² + y² in an ellipse. What is the point on…

A: We will use Lagranges multiplier method to find optimal solution  To maximize/ minimize f(x,y,z)…

Q: Find the equation of the surface of revolution that is generated by rotating the parabola y = x^2…

A: Equation of surface of revolution of a curve about y-axis is given by x2+z2=r2 where r is the radius…

Q: Calculate the curvature of the ellipse x2/a2+y2/b2=1

A: To determine the curvature of the ellipse.

Q: The plane x + y + 2z = 6 intersects the paraboloid z = x2 + y² in an ellipse. Find the points on…

A: To find the farthest and nearest point from the origin to the ellipse.

Q: Consider the intersection of the ellipsoid x^2 + 2y^2 + 4z^2 = 22 with the plane x = 2.…

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Q: Find the points on the ellipse 5x2 + y2 = 5 that are farthest away from the point (1, 0). smaller…

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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: The plane 9x + 12y + 40z = 275 intersects the cone z² = x2 + y2 in an ellipse. The sum of the…

A: We have to find the sum of the z coordinates of the highest and lowest points on the ellipse. This…

Q: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

A: Given data:     The given opening of the dish is: b=32 feet. The given depth of the dish is: d=4…

Q: Find the volumes of the solids generated if the upper half of the ellipse 9x2 + 25y2 = 225 is…

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Q: Consider the ellipse given by the intersection of the plane x+y+7z=3 with the paraboloid x^2+y^2=2z.…

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Q: The plane 12z + 16y + 60z 640 intersects the cone z2 = x² +y² in an ellipse. The sum of the…

A: Given 12x+16y+60z=640 z2=x2+y2

Q: Find the envelope of the family of ellipses x2/a2+y2/b2=1 having the same area.

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Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is O…

A:

Q: What is the highest point on the ellipse that is the intersection of the plane x + y + 2z = 2 and…

A: Let,f(x)=x2+y2-z=0and g(x)=x+2y+2z=2Our constraint is,∇f(x)=λ∇g(x)

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