A cylindrical surface in an xyz-coordinate system is an equation that contains only two of the variable's x, y, and z. اختر احدى الدجابات True False

Q: Determine the diameter of a hole that is drilled vertically through the center of the solid bounded…

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Q: Find the surface area of the part of the spherex +y² +z = 16 that lies above the plane z = 2.

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Q: A point moves along the intersection of the elliptic paraboloid z = 10x + 11y and the plane y = 1.…

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Q: Can point normal form of a plane have no y? Leaving only constant (x - constant) + constant (z -…

A: Introduction: A aircraft is a flat, two-dimensional floor that extends to infinity in mathematics.…

Q: Convert the point (x, y, z) = (2, 4, – 4) to cylindrical coordinates. Give answers either as…

A: Given point x,y,z=2,4,-4. The cylindrical coordinates can be given by, x=rcosθ    ...1 y=rsinθ…

Q: Find an equation which describes the surface created by rotating (r, x, 0) around the r-axis. Note…

A: Our Aim is to find an equation which describes the surface created byrotating (x,x,0) around the…

Q: Determine the maximum highest point (x, y,=) the surface on z = 1+ 4x + 4y- x* - y*

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Q: Sketch the curve of intersection of the surfaces. The paraboloids z = x² + y² and z = 16 – x – y.…

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Q: Describe the surface with cylindrical equation r=6

A: We have to describe the surface with cylindrical equation r=6.

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: Convert the point from cylindrical coordinates to rectangular coordinates. 8, 3. 2 1- (x, y, z) = (…

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Q: Find an equation of the surface of revolution obtained by revolving the plane curve 4x² – y² = 4…

A: The given equation of plane curve is 4x2-y2=4. Since the plane curve is rotated about x-axis,…

Q: Determine the diameter of a hole that is drilled vertically through the center of the solid bounded…

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Q: A point moves along the intersection of the elliptic paraboloid z = 3x² + 5y² and the plane y = 4.…

A: We are given the curve Z=3x2+5y2 and y=4   Now we know that the rate of change is simply derivative…

Q: Solve for an equation of tangent plane and parametric and symmetric equations of normal line to the…

A: Given Surface is xz + 2xy + yz = 10

Q: plane π is said to be tangent to a spherical surface with center C and radius r if the distance from…

A: To find:- equation of the spherical surface with center C(2,4,5) and tangent to the plane…

Q: Point W is the centroid of triangle TRV. VX = 204 and RW = 104. The length of RY = ____.

A: We have the given triangle as It is given that Point W is the centroid of triangle TRV. VX = 204 RW…

Q: Find the area of the surface generated by revolving the curve y=x^3/18, 0(<=)x(<=) 2 square root 2,…

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Q: Sketch the curve of intersection of the surfaces. The paraboloids z = x² + y² and z = 25 – x – y².…

A: Given that: z=x2+y2      ......(1)z=25-x2-y2      ......(2)

Q: Find the lateral surface area of the cone generated by revolving the line segment 5x – 8y + 40 = 0,…

A: Detail solution written below

Q: 9ху. Use hyperbolic functions to parametrize the intersection of the surfaces x - y = 49 and z =

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Q: Find the lateral surface area of the cone generated by revolving the line segment 5x-8y+40=0 about…

A: Find lateral surface area.

Q: the Cartesian coordinates of the point with cylindrical coordinates (r, 0, 2) = (4, т, 6) (x, y, 2)…

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Q: Find the lateral (side) surface area of the cone generated by revolving the line segment y = x/2, 0…

A: The given line segment is y=x2 where 0≤x≤4. The line segment is revolved around x-axis, thus it…

Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…

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Q: Just like in a projective plane, two distinct lines always intersect on the spherical plane.

A: Straight lines in spherical plane are the great circles. So, any two different lines meets at two…

Q: classify the quadric surface given by equation and determine its standard form.−8x 2 − 8y2 + 10z2 +…

A: We have the quadratic surface : -8x2-8y2+10z2+32xy-4xz-4yz-24=0…

Q: The planet is spherical with a radius of 1 unit in length. Suppose that in a coordinate system whose…

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Q: Find the point cylindrical coodinater of whoose cartesin coordinates are 10,-1,2)

A: Given: The cartesian coordinate (0,-1,2)

Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and y =…

A: Given problem is :

Q: A point moves along the intersection of the elliptic paraboloid z = 9x + 4y and the plane y = 4. At…

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Q: Classify the quadric surface given by equation  and  determine its standard  form. x2 + y2 − z2 − 2x…

A: x2 + y2 − z2 − 2x − 4y − 4z + 1 = 0

Q: sphericity of cylindrical

A: Sphericity of the particle=φ=π136Vp23Ap Vp= volume of the particle Ap= surface area of the particle

Q: Find the points on the cone z + y that are closest to the point (2, 2, 0). (x, y, z) = (smaller…

A: We have to find the closest points near to the point (2,2,0).

Q: Find the volumes of the solids generated by revolving the triangle with vertices (2,2), (2,7), and…

A: Using washer method

Q: classify the quadric surface given by equation and determine its standard form.−x 2 − y2 − z2 + 4x y…

A: Given quadric Surface is         -x2-y2-z2+4xy +4xz+4yz =3 Comparing it to the general form,…

Q: Find the point on the y-axis which is equidistant from (2,5,-3) and (-3,6,1). After getting the…

A: Since the point lies on the y-axis therefore the x and z coordinate will be zero. So, let the point…

Q: area of the surface obtained by rotating the curve y=x^3, x ∈ [0

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Q: Find the lateral (side) surface area of the cone generated by revolving the line segment y =x,…

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Q: Calculate the point on the surface z =1 - x2 - y2 that has a maximum value for the sum of its…

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Q: Find a parametrisation of the curve of intersection of the surfaces: x^2 + 2y^2 + z^2 = 5 and x^2 +…

A: This is parameterisation of curve problem

Q: Find an equation in cylindrical coordinates for the surface represented by the rectangular equation…

A: Consider the following equation: x2+y2-2z2=5                                             ...... 1…

Q: Use  inertia  to  classify  the  quadric surface  given by equation. x2 + y2 + 2z2 − 2xy − 4xz − 4yz…

A: We have to use  inertia  to  classify  the  quadratic surface  given by equation. x2 + y2 + 2z2 −…

Q: Describe the given set of rectangular coordinates in cylindrical coordinat x2 + y? y

A: Concept:

Q: use Cylindrical coordinates to the Vaume of the Solid bovnded by the parabolo ld z=16-x²-y? %3D

A: Introduction: A point with rectangular coordinates left(x,y,z right) in three-dimensional space R3…

Q: A line intersects the xy plane at an x– intercept of N and a y intercept of F. Determine the volum…

A: Given:- A line intersects the xy plane at an x intercept of N and a y intercept of F.  To find :-…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.