Answered: The graph of the given equation (drive…

The graph of the given equation (drive curve) is rotated about the indicated axis. Find an equation of the surface of revolution. у%3D 2х оп the y axis

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 50E: The graphs of the parabolas eith equations y=x2 and the line y=18-x2 intersect at two points. Find...

See similar textbooks

Related questions

Q: Find the standard form of the equation of the specified ellipse. 20. Vertices: (0, ±6): Foci: (+4,…

Q: y? Determine if 16 = 1 is a hyperbola and if it is, which type it is. The transverse axis is 4

Q: Which of the following represents the equation of the surfaces with the following four views? Front…

Q: Find the largest and smallest values that the function ƒ(x, y) = xy takes on the ellipse x2/8 + y2/2…

Q: I. Directions: Identify the center of each ellipse. 4. x 2 49 + (y-3) 29 = 1 Center: 5. (x-3) 29+y 2…

A: To find the center of the ellipse. The general equation of the ellipse is: (x-h)2a2+(y-k)2b2=1 whose…

Q: Find an equation of the parabola with focus (7, 3) and directrix r= 1,

Q: Identify and sketch the surface of each of the following 4 equations. Label the intercepts and…

A: Identify and sketch the surface of the following equations1. 4x2-3y2-2z2=02. 25x2-100y2+16z2=-400

Q: Find the equation of tangent lines to the ellipse parallel to the line y =3. The equation of ellipse…

Q: Find the equation of an ellipse whose minor axis is 6 and whose foci are located at (+8, 0). y? 9.…

Q: Write the equation of a circle, in general form (x² + y² + Bx + Cy + D = 0), centered at the point…

A: The question mentions that the circle is centered at the intersection of lines, 2x+y=-10x-2y=5 Now,…

Q: Describe in words the surface whose equation is given. p = 5

Q: a) makes horizontal traces, shows the development and graph b) make three vertical traces, show the…

Q: State whether the given equation defines an ellipsoid or hyperboloid, and if a hyperboloid, whether…

A: We know that standard position the equations of quadratic surfaces, Ellipsoid: x2a2+y2b2+z2c2=1…

Q: 6. What is the equation for the slope of the ellipse+= 1 at (x₁, yi)? A. B. C. D. E. y' = y' = b²y₁…

A: We have to find the equation of the slope of ellipse at the point (x1,y1).

Q: Identify the curve represented by the equation 21x² +21y² – 24xy= - 3 from the options below. O1.…

Q: identify the surface defined by the equation and match it to the appropriate graph

Q: find the equation of the parabola with the given properties. Focus (0, 4), directrix y = −4

Q: Identify the type of surface represented by the given equation.

A: Since we are given x25+y28-z22=1 -(i) and for finding the nature of surfacewe will solve for z.

Q: x² + + =1 y2 9. 4

Q: The area of the ellipse in the figure is three times the area of the circle. What is the length of…

A: Known facts: Area of ellipse is A=πab where a is length of semi-major axis and b is length of…

Q: A planetary orbit can be expressed by the equation %3D 3249 = 1. What is the 3600 length of the…

A: Given the equation of an planetary orbit as x23600+y23249=1

Q: Identify and sketch the surface of each of the following 4 equations. Label the intercepts and…

A: Identify and sketch the surface of the equation25x2-100y2+16z2=-400

Q: c) Find the center and radius of the sphere whose equation is

A: Given, we need to evaluate the norm of the following vectors. i=<-1,2,4>ii=-i+7j

Q: Which is the focus and directrix of the parabola with equation (y + 0.5)² = 4(x - 1)? Focus…

Q: 2x2 + 3y2 – 12 = 0 - 24 1 44 200 12 14 14 15 14 24 erom 22 24 24 O y=vC(12-2x*2)/3) O…

Q: 6. What is the equation for the slope of the ellipse+-1 at 1 at (x₁, ₁)? A. B. C. D. E. y' = -21 y'=…

Q: Write an equation and sketch this graph: The cylinder of radius 2 centered on the line through the…

Q: 9x2 +4y2 + 36x - 24y + 36 = 0 %3D 9x2-9y2 + 36y - 72 0 %3D

Q: find the equation of a sphere with the line segment AB as one of its diameters, where A(-3, 2, 1)…

A: We have to find the equation of a sphere with the line segment AB as one of its diameters, where…

Q: I am needing assistance with the attached equation.

Q: Determine the equation of the directrix of the curve 3x=2y2-4y+7 (Graph Solution) a. x=30/20…

Q: find the equation of the parabola with the given Focus (2, 0), directrix x = −2

A: Our Aim is to find the equation of the parabola with the given Focus (2,0) and directrix x=-2.

Q: 4² – y² +25:² = 100 %3D

Q: Find the coordinates of the four points at which the hyperboloid of one sheet given by x2 y? + 16 z?…

A: This question is related to 3D coordinate geometry, We will solve it using given information.

Q: Write the equation for the above surface.

A: The surface represents the cylinder; with circle in the xz-plane. x2 + z2 = 1 (radius of the circle…

Q: Find the orthogonal trajectory of the ellipse x? + 4y? = cy

Q: Find an equation of the evolute of the hyperbola y=1/x.

A: Given: The equation of hyperbola,

Q: Find the equation of the parabola with focus (1, −4) and directrix y = 0.

A: Given the following to find the equation of parabola.

Q: Q11

A: Just join the centres of two parabolas and draw a line joining them, it is called transverse axis.…

Q: Which of the following is the graph of the surface whose equation is given by -x2 + y² + z² = 1? a.…

A: Given equation: -x2+y2+z2=1

Q: Derive an equation for the parabola with focus (a , b) and directrix x = c

A: Given focus f =(a,b) and directrix x=c Let A(x1,y1) be any point so that |Af|= |AD| Where Af=…

Q: Identify the surface with equation o = = 7

A: Spherical coordinates: The point Pρ, θ, φ represents a point in the spherical coordinates, where ρ…

Q: Find the equation of the major axis of the ellipse x? +4 y? - 6 x - 24 y = -36 Select one: O y= 0 O…

A: First of all we will write the equation of ellipse in standard form.

Q: The orbit of a satellite revolving around a planet is an ellipse with the center of the planet as…

A: The standard equation of ellipse is x2a2+y2b2=1. In the above equation, a is the half-length of…

Q: Find the points on the ellipse that are twice the distance from one focus to the other. y? 25 9.

Q: Find equations for two lines through the origin that are tangent to the ellipse x? – 4x + y? + 3 =…

A: Solve for the equation

Q: Write the equation and determine the type of surface obtained by rotating this line around the…

A: When we rotate the given equation around y axis, we got hyperboloid:

Q: 18. Which of the following equations represents an ellipse with horizontal minor axis? A.+ 16y? = 16…

Q: x = Vi, y = 3t + 4;

A: Given: x=t, y=3t+4; t≥0 For finding an equation in x and y, we put value oft=y-43 from second…

Q: Complete the square and write the following equation in standard form. When completed, graph the…

A: This question is taken from the Circle which we have to find the center point radius and then plot…

Question

100%

The graph of the given equation (drive curve) is rotated about the indicated axis. Find an equation of the surface of
revolution.
y
2х оn the y ахis
%D

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The graphs of the parabolas eith equations y=x2 and the line y=18-x2 intersect at two points. Find the two points of intersection. HINT: Equate y values.
Write the equation and determine the type of surface obtained by rotating this line around the specified coordinate axis, make a picture:4x2-3y2=12, Ox
Find the equation of the surface formed by rotating the circle with the x-axis.
Find a Cartesian equation for the curve. r2 = 11