Find an equation for the surface of revolution formed by revolving the curve in the indicated coordinate plane about the given axis. Equation of Curve z2 = 36y Coordinate Plane Axis of Revolution yz-plane у -аxis
Q: Find an equation of the surface of revolution generated by revolving the plane curve about the…
A:
Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…
A:
Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…
A:
Q: Find the area of the surface obtained by rotating the curve of parametric equations: x = 6t -…
A: Area of surface obtained by rotating the curve is given by
Q: Find an equation in cylindrical coordinates for the surface represented by the rectangular equation.…
A: Given rectangular equation is y = x2
Q: Find an equation in cylindrical coordinates for the surface represented by the rectangular equation…
A:
Q: find an equation for the plane tangent to thelevel surface ƒ(x, y, z) = c at the point P0 . Also,…
A:
Q: Find parametric equations for the surface obtained by rotating the curve y = 36x4 – x2, –6 <t< VI
A: Here we solve the given problem of calculus.
Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…
A:
Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…
A:
Q: 21 y2 a. x + 1 %3D
A: The given equation is x21+y29+z24=1We know the general equation of ellipsoid is x2a2+y2b2+z2c2=1So…
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: Find an equation of the surface obtained by rotating the curve y = 1- sqrt(z) (square root of z)…
A: Given the equation of curve, y=1-z This can be written as z=1-y On squaring both sides, z=(1-y)2…
Q: escribe and sketch the surface in R*represented by the equation x + y = 2.
A: Given that - Describe and sketch the surface in R³ represented by the equation x + y = 2.
Q: Find an equation in cylindrical coordinates for the surface represented by each rectangular…
A: Given x2+y2=4z2 It can be compared with the equation of elliptic cone with its axis along z-axis.…
Q: Find the lines curvatures, the first and second fundamental forms of the surface: the surface
A: As per the question we are given a surface. And we have to find its first and second fundamental…
Q: Find an equation of the surface of revolution generated by revolving the plane curve about the…
A: Given: Surface y2=z3 : about the z-axis. Find:- (a)Draw the graph of surface (b)an equation of…
Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…
A:
Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…
A:
Q: Write the equation for the surface generated by revolving the curve x2 - 2y2 = 1 about the y-axis.…
A:
Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces at the…
A: Here we have to find the equation of the tangent line.
Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…
A:
Q: Find an equation of the surface of revolution generated by revolving the plane curve about the…
A: Given equation: x2=4y which has to be revolved about the y-axis.
Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…
A: Surface of revolution: It is a surface which is created by revolving a curve about an axis. We have…
Q: Consider the equation surface S in the 3D space given by the equation z = x³ – 1. Let C be the curve…
A:
Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…
A:
Q: Find an equation of the surface of revolution by revolving the plane curve 3y = v(9- [(x-1)] ^2 )…
A:
Q: Find an equation of the surface of revolution generated by revolving the plane curve about the…
A:
Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…
A:
Q: Find an equation of the surface of revolution generated by revolving the plane curve about the…
A: It is required to find the equation of the revolution generated by revolving the given plane about…
Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…
A:
Q: Find an equation for the surface generated by revolving the curve about the y-axis. y = 2x.(z 0)
A:
Q: Find an equation in cylindrical coordinates for the surface represented by the rectangular equation.…
A:
Q: Classify and sketch the surface 12x? – 3y? + 4z? = 12 What are the 3 traces? Show equations of the…
A: A quadratic surface is a hypersurface. It is nothing but the generalization of a conic section in…
Q: x + y? – 4y + 2² = 0
A: Consider the provided question, Given equation of the surface, x+y2-4y+z2=0
Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…
A:
Q: The following equation is an equation of a surface of revolution obtained by rotating a curve C…
A: The given equation of surface of revolution is x2+y2+z2=1. This equation can be written as:…
Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…
A: Given problem is
Q: Consider the surface given by the equation 22 – 5y? + 2? + yz = 32 (a) Find the equation of the…
A:
Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…
A:
Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…
A:
Q: Let S be the surface with equation 4y2 + 4z2 - x2 - 16 = 0 1) Find an equation of a generating…
A: The given equation of surface is 4y2+4z2-x2-16=0 To find a generating curve of revolution.
Q: Consider the surface defined by the equation z2 = 2x² + 4x - 6y? - 2y+ 1. %3D Find a set of…
A:
Q: Find an equation which describes the surface created by rotating (1, V1,0) around the r-axis. Note…
A: Definition: If the curve y=f(x), a ≤ x ≤ b is rotated about the x−axis, then the surface area is…
Q: 3x=y3 is the surface Curve what Jrea of the obyect famed by rotating the part between the lines…
A:
Q: Consider the curve C on the yz-plane with equation y? – z + 2 = 0 (a) Sketch a portion of the right…
A: Given that, Curve C parabola on the yz-plane with equation y2-z+2=0 1 Therefore,…
Q: Identify and sketch the section of the surface at x = 0. 16 16 Type of the surface:
A:
Q: Consider the equation of the surface S given by -3x - 2y³z4+ xy = -4 where a and Bare pair numbers,…
A: Use formula of equation of Tangent plane
Q: .. .. Find an equation for the surface of revolution formed by revolving the curve in the indicated…
A: Given equation of curve is z2 = 4y The radius of function about y axis is z2 = 4yz = 4yz = 2yr(y) =…
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle rolls along the x -axis given that P is at a maximum when x=0.Find an equation for the surface of revolution formed by revolving the curve in the indicated coordinate plane about the given axis.Equation of Curvez2=4yCoordinate Planeyz-planeAxis of Revolutiony-axisFind an equation of the surface of revolution obtained by revolving the plane curve 4x² – y² = 4 about the x-axis. Name the surface.
- The 2D curve 4x2 - y2 = 3, generates a surface in 3D by rotationing it out of the xy-plane and around the x-axis. Create the equation for the surface. A)If the resulting equation does not qualify as a quadric surface based on the general definition, explain in a few clearly written sentences, why it does not and you are done. B) If the resulting equation qualifies as a quadric surface, write the equation in standard form, state the exact name and identify the constants a, b and c as needed.Find an equation for the surface consisting of all points that are equidistant from the point (0,0,1) and the plane z=−1. Identify the surface.classify the quadric surface given by equation and determine its standard form.−8x 2 − 8y2 + 10z2 + 32x y − 4x z − 4yz = 24
- Find the equation of the surface of revolution that is generated by rotating the straight line y = x around the y-axis. Is it a quadric surface? What name can be given to it?Also need to know what surface it is?Find an equation of the surface of revolution generated by revolving the plane curve about the indicated axis. Draw a sketch of the surface. c. x2 + 4z2 = 16 ; about the x-axis
- classify the quadric surface given by equation and determine its standard form.−x 2 − y2 − z2 + 4x y + 4x z + 4yz = 3Find an equation for the surface of revolution formed by revolving the curve in the indicated coordinate plane about the given axis.What is the surface generated by a straight line which moves along a fixed curve, and which remains parallel to a fixed line not on the curve?