Match the equations of the spheres with one of thegraphs below.-2-32xAD1| 1. x² − 2x + y² + 2y + z² - 2z = −2-2. x² + y² + (z+ 1)² = ²/3. (x − 1)² + (y − 1)² + z² = 1-4. x² - 4x + y² - 4y + z² - 2z = -352BE-16-²сFarreX

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Answered: Match the equations of the spheres with…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter13: Conic Sections

Section13.1: Circles

Problem 48PS

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By definition, a hyperbola is the locus of points whose positive difference of distances from two fixed points F1 and F2 called foci is constant. In the grid provided, find points whose difference of distances from points F15, 0 and F2-5, 0 is 6. That is, locate some points for which PF1-PF2=6 or PF2-PF1=6; point P3, 0 is one such point. Then sketch the hyperbola.
The distance between the centers of the following two spheres: x2+56x+y2−54y+z2=−1512, 2x2−4x+2y2+2z2+8z=−5 is
(a) Find and identify the traces of the quadratic surface x2 +y2 -z2 =1 and explain why the graph looks like the graph of the hyperboloid of one sheet in Table 1. (b) If we change the equation in part (a) to x2 -y2 +z2 =1 , how is the graph affected? (c) What if we change the equation in part (a) to x2 +y2 +2y- z2 =0?
find the dots on the sphere x2+y2+z2=36 which are closer and farther from the point (1,2,2).
In the 3D coordinate system, for the quadric with euqation ax2 + y2 + 4z2+x + 6y − 4z = −a − 10 where a is a parameter. Find the values of a for which this quadric is a hyperboloid of one sheet. Is there no solution?
Find the points on the sphere x2+y2+z2=2 that are closest to and farthest from P0(3,1,-1).
What is the equation of a plane where 1 of these spheres would be on one side of the plane and the other sphere would be on the other side of the plane : (x-2)2+(y-1)2+z2=1 and (x-1)2+y2+(z-4)2=0.36
Fx, y, z xyz i xy j x 2 yz k S consists of the top and the four sides (but not the bottom)of the cube with vertices , oriented outward
Find an equation of the sphere concentric with the sphere x^2 + y^2 + z^2 + 4x + 2y − 6z + 10 = 0 and containing the point (−4, 2, 5).
caculate and generate the graph of following general cylinders and surfaces in three dimensions. 1.9x^2 + 4y^2 =36 2.z=16-x^2 3.9x^2 + 4y^2 +z^2 =36 4.9x^2 + 9z^2 - 4y^2 =36
Find the equation of the xy-trace of the sphere. (x − 2)2 + (y + 4)2 + (z − 6)2 = 72
2. Show that the equation represents a sphere, and find its center and radius: x^2+y^2+ z^2-8x + 6y + 2z + 17 = 0

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Match the equations of the spheres with one of the graphs below. -2 -3 2 X A D 1 y 1. x² − 2x + y² + 2y+z² - 2z = −2 - 2. x² + y² + (z+ 1)² = ²/ 3. (x − 1)² + (y − 1)² + z² = 1 - 4. x² - 4x + y² - 4y + z² - 2z = -35 2 B E -16 -2 с F gift X