The length of the longest axis for the ellipsoid, * + = lis in which this axis is along the axis. 20; у- 100; y- 10;B у- None of these

Q: Using the property of Re z and Im z to show that the hyperbola x2 – y? = 1 can be written as: z2 +…

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Q: The surface of equation= ++ = 1 is: - 4 16 An ellipsoid A circular cylinder A cone A sphere

A: Equation of ellipsoid

Q: From Example 1, recall that x2 +y2 = 1 is the equation of the cylinder with radius 1, whose axis of…

A: The relationship between cylindrical coordinate system and spherical coordinate system is given as…

Q: Which of them are tr 1) Ellipsoid de + 16: Hyperbakid II) =D4- Sy-9 Perbled IV) Sphere

A: The equation of ellipsoid is of the form x2a2+y2b2+z2c2=1 So, (I) is true.

Q: 1. Point L is a centroid of the triangle FWD. If RL = 54 cm, what is RD? W R ) 81 cm 58 cm O 100 cm…

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Q: (a) Consider the following. -5 5 5 -5 Identify the surface graphed. O cylinder O paraboloid O cone…

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Q: In the Euclidean plane with fixed cartesian system Oxy, let C be the conic defined by the equation…

A: Given equation,

Q: Identify the quadric surface as an ellipsoid, hyperboloid of one sheet, hyperboloid of two sheets,…

A: We need to find values of a,b,c.

Q: Find an equation of the largest sphere with center (6, 2, 8) that is contained in the first octant.…

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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: (e) 25z = x² + 25y²; %3D a = i ,b = i ,C = (f) z? – x² – y² = 1; h = >

A: Topic:- 3D-Geometry e) Elliptic paraboloid f) Hyperboloid of two sheets

Q: 10. Which is the equation of a hyperbola with co-vertices at (0, 7) and (0,-7) and a transverse axis…

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Q: Let z be a complex variable  z=x+iy question attached in pic

A: (a) To evaluate the given integral around the circle |z - 2| = 3.Parametrise the equation of the…

Q: Which quadric surface is represented by the equation below? 22 = 1 16 y? 4 Ellipsoid Cone Elliptic…

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Q: Which of the following is NOT a method for finding volume of solids of revolution? (A) shell method…

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Q: By differentiating implicitly, find the slope of the hyperboloid x² + y? – 22 =1 in the x-direction…

A: Given that: x2+y2-z2=1

Q: Find the length of a,b,c of the given hyperbola: x^2/4 - y^2/5=1

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Q: Find the volumes of the solids (see figures) generated if the upper half of the ellipse 9x2 + 25y2 =…

A: Given equation:-               9x2 + 25y2 = 225

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: two sheets, ne, elliptic parabolold, or Identify the quadric surface. hyperbolic paraboloid by…

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Q: Findl the dimen slons of the lorgest that can be inscribed in rectangle an ellipse whose units mojor…

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Q: 3. Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes…

A: Let vertex of the rectangle be x,y, x,-y, -x,y and -x,-y. Thus, are of the rectangle is fx,y=4xy. We…

Q: Mödule 9: Conic Sections 5. A planetary orbit can be expressed by the equation TAD0 + 0 =1. What is…

A: See the explanation below

Q: ellipsoid x* + + = 3 z2 n2 q2 r2

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Q: Which of the following is NOT a method for finding volume of solids of revolution? A conic method B…

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Q: Point K is a centroid of the triangle JGI. If KL = 28 cm, what is JL?

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Q: 29. A tank full of water has the shape of a paraboloid of revolu. tion as shown in the figure; that…

A: Height is 4 feet and radius at the top is 4 feet So the parabola passes through the point (4,4) The…

Q: Find the center C and the radius a for the spheres (x + 2)2 + y2 + (z - 2)2 = 8

A: We have to find the center C and radius for the given sphere equation: x-22+y2+z-22=8 We know that…

Q: H-w) find thi surf ace area for the Dlane 6x+44-22= 14 if this plane in the finst octant? S-A = |…

A: Surface area of the, in the xy-plane

Q: What is the size of the largest segment parallel to the y axis inside the ellipsoid

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Q: Find the vertices and foci of the conic section () - (E)` = 1. (Round your ans + vertices: (smallest…

A: Here we have to find the vertices and foci of the given conic.  GIven:- x62+y52=1 The above conic is…

Q: .2 The surface z? = 1 is a 25 - - 36 hyperboloid of one sheet. Select one: OTrue OFalse

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Q: 4. Given 25 + 20 10 =3, a. Determine the given quadric surface b. Determine the equation of the…

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Q: A satellite orbits the Earth with an elliptical orbit modeled by the maximum distance between the…

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Q: Which of the following is simply connected? a, the horizontal strip Imz <1 b) the annulus 1</z<2 c)…

A: Simply connected domains are those which can be shrink to a point. a) Let z=x+iy then, lmz&lt;1 can…

Q: Consider the ellipse x2 + 4y2 = 1 in the xy-plane. a. If this ellipse is revolved about the x-axis,…

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Q: 4) Find the volues of m for which the plane in tersects the hyperbaleid of two sheets x+y?-2?= -1 in…

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Q: As an engineer at Ghana Atomic Energy, you have been tasked to design a cooling tower in the shape…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: 16. Consider a rigid square ABCD as in the figure with A and B on the x and y axis respectively. [19…

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Q: A bead of mass 'm' is constrained to move along a rigid wire having the shape of a rectangular…

A: The Lagrangian of the bead of mass m is, L=T-U Where, T is the kinetic energy and U is the potential…

Q: Using the property of Re z and Im z to show that the hyperbola x2- y2 = 1 can be written as: z? +…

A: We know that x=Re(z)=z+z2 and y=Im(z)=z-z2i. We are given the equation of hyperbola x2-y2=1.

Q: Which of the following is that orientation of the ellipsoid 3x + y? + 2z2 =1 %3D where the outside…

A: The given problem is to find the positive orientation of the given ellipsoid. Given ellipsoid…

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

A:

Q: An isosceles triangle with vertex at (0, -1) is to be inscribed in the ellipse x² + 4y2 = 4. Find…

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Q: Using the property of Re z and Im z to show that the hyperbola x2 – y? = 1 can be written as: z² +…

A:

Q: 32. Which of the following is the trace of the surface in the plane y=3? Hyperbola Ellipse Parabola

A: Consider the given surface as 9x2+z2-3y=0

Q: The reflector of a searchlightis in the shape of a paraboloid of revolution. Its diameter is 12…

A: for above problem drawing figure

Q: Q9. Draw a sketch of a hypersphere in four dimensions.

A: Hypersphere :''Hypersphere''  the mathematical object that live on the sphere in 4 dimensional…

Q: Identify the quadric surface as an ellipsoid, hyperboloid of one sheet, hyperboloid of two sheets,…

A: Here is the solution of the given problem.