Name the centroid of the triangle shown to the right. The centroid is the point

Q: Find an equation for the conic that sa tisfies the given conditions. parabola, focus (-4, 0),…

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Q: Find the equation of the hyperboloid shown in the figure below

A: The given figure is one sheeted hyperboloid with a = 4 and b = 6. Let the constant term be c.…

Q: Practice Another Find the standard equation of the sphere with the given characteristics. Center:…

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Q: Let a > 0 and b > 0. Show that the area of the ellipse x2/ a2 + y2/ b2 = 1 is ab

A: Given that, The equation of the ellipse  x2/ a2 + y2/ b2 = 1 , where a > 0 and b > 0. Solve…

Q: Quadrilateral ABCD has verticies A(-5,8),B(-3,10),C(1,6) and D(-3,5). Identify the coordinates of…

A: The coordinates quadrilateral is as follows: Co-ordinates of quadrilateral A(-5, 8) B(-3, 10)…

Q: Find center, foci , vertices, asymptotes and radious of 2x? + 2y² – 28x + 12y + 114 = 0

A: Given: 2x2+2y2-28x+12y+114 = 0

Q: Describe and sketch the surface represented by the given equation.y=-1

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Q: C. coordinate

A: The main objective is to find which option represents the given statement. The options are: A. polar…

Q: Identify and sketch the surfaces described by the given equations. Explain.

A: our objective is to sketch the surface.

Q: The figure below shows the tetrahedron before rotation. Determine which single counterclockwise…

A: If you rotate the given tetrahedron 180° counterclockwise about the z-axis, then x-coordinate of the…

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

A: 4.17 feet

Q: An arch of a bridge is semielliptical, with major axis horizontal. The base of the arch is 30 feet…

A: Definition used =       The equation of an ellipse is -…

Q: Draw a shape in Quadrant III (lower left) that is not symmetrical. Then draw the result of rotating…

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Q: Drag 2 numbers listed below into appropriate boxes to indicate the coordinates of one of the…

A: The vertices of the trapezoid are (-3,-7), (0,5), (2,5) and (5,-7). For the vertices reflected…

Q: (a)i- Show that the following equation represents a sphere, and find its center and radius.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 2- Paraboloid what is it? explain briefly with images

A: Answer:   As per guidelines we can do only one question at a time so i had answered question 2 below…

Q: The rotation R : R? → R? around the origin anticlockwise by the angle 0.

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Q: write the standard form equation for ahyperbola with center at the origin, vertices at (0,4) and…

A: vertices are (0,4),(0,-4) foci are (0,6),(0,-6) make a rough graph

Q: Whispering Gallery Jim, standing at one focus of awhispering gallery, is 6 feet from the nearest…

A: Ellipse is a closed circle that looks like an elongated circle. ellipse contains focus, major axis,…

Q: The volume of the paraboloid resulting from the rotation of a cylindrical vessel is: Select the…

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Q: az Given the ellipsoid = 3 , find (7.0. 2). + 2

A: The equation of the ellipsoid is x2+y22+z22=3We should find ∂z∂x at (7,0,2).

Q: c) Find the area of the sector formed by the 2 radii (OA & OB ) and AB.

A: for the sector OAB, the area is given by  A=θ360·πr2 here we have θ=30 here diameter is 12 so the…

Q: Estimate the degree of rotation on the image. Explain how you arrived at y Use the pape BIU !!

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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: Exer. 1-14: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci. y + 9x² =…

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Q: The polar form of the Cartesian coordinates (V8, V8) is ... Select one: (Vz, ) a. 4,) b. 4, ) C.

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Q: \text { Sketch the conic } r=\frac{12}{2+4 \sin \theta}

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Q: Find an equation of the sphere with center What is the intersection of this sphere with

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Q: Use the figure to complete the sentence below. Y Transverse ais If the center of the hyperbola is…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: The diagram shows a cone and its axis of rotation. Which type of cross section is formed when the…

A: Solution is done in step 2

Q: Basaltic columns are geological formations that result from rapidly cooling lava. The Giant's…

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Q: t is formed by rotating the right triangle about the line show

A: Here we have to describe the 3D figure that is formed by rotating the right triangle about the line…

Q: the Föllówing equation, identify the coordinates of the center an (x - 3)2 + (y + 2)? = 81

A: Comparing with standard form of equations of circle,

Q: use polar coordinates to describe the region shown.

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Q: The triangle has vertices A(-2,3), B(0,0), and C(-1,-1). Plot the coordinates of the supermen logo…

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Q: Plot the point whose polar coordinates are given. (a) (2, 특) r>0 (r, 0) = r 0 (r, 0) = r 0 (r, 8) =…

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Q: Draw the image of this figure under a 90° clockwise rotation using center F Click the pencil icon to…

A: Given the picture of (i) and (ii)

Q: Look at this shape:

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Q: Exer. 1-14: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci. 9. 2. 25…

A: The vertex of ellipse x2a2+y2b2=1 is a point at which it makes its maximum turn.  Let a>b. Then…

Q: In the figure below, the hexagon is regular. A Which of the following is the image of the point for…

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Q: Use polar coordinates to tind the Volumme of the Solid enclosed by the Cyllinder the plane

A: Given, α2+y2=9 and z=x and the αy plane. Since z=x and α2+y2=9 forms a disc on αy plane of radius 3.…

Q: The figure shows a lamp located three units to the right of the y-axis and a shadow created by the…

A: Given, the below figure :       A lamp is located 3 units to the right of the y-axis and a shadow…

Q: Exer. 1-14: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci. 21 25 16…

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Q: We can describe the location of a point in the plane using different systems. The point P shown in…

A: We can describe the location of a point in the plane using different coordinate systems. The point P…

Q: Exer. 1-14: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci. 3 4x + y…

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Q: (-1+i)-1+i

A: The given problem is to evaluate and simplify the given complex expression and express in…

Q: Describe and sketch the surface represented by the given equation.y=-2

A: Given equation : y=-2 The graph of the equation is given below:

Q: How can mathematics be used to explain orientation in space?

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Q: Find the area enclosed by the ellipse x2  / a 2    +   y2   /b 2    =1

A: Given ellipse is The ellipse meet x-axis at points (-a,0) and (a,0) and y-axis at points (0,-b) and…