The equation of the sphere with Center (4,-1,3) and radius √5 is (z – 4)? + (y + 1)² +(2 - 3)² = v5.(z – 4)² + (y + 1) + (2 – 3)² = 5.(z – 4)? + (y + 1)² + (2 - 3)² = 25.( (2 – 3)2 = 5.x- 4)2 + (y - 1)² +(+ 4)²+(y-1)² + (z + 3)2 = 5.

Answered: Image /qna-images/answer/f4560553-eb36-4b87-8027-e42f8bd9dd58.jpg

Answered: The equation of the sphere with Center…

Math

Calculus

The equation of the sphere with Center (4,-1,3) and radius √5 is

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Related questions

Q: Show that the equation represents a sphere, and find its center and radius: 2x2+2y2+2z2=8x-24z+1

A: To show that the equation represents a sphere, and find its center and radius: 2x2+2y2+2z2=8x-24z+1

Q: Describe the yz-intercept of the sphere with the equation x2 + y2+z2 - 2x+ 10z +5 = 0

A: The given equation of sphere is: x2+y2+z2-2x+10z+5=0

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -9, 7) Radius:…

Q: Find the center and radius of a sphere with the equation: 8x + 4z = 1 − 2x^2 + 20y − 2y^2 − 2z^2.

A: Given the equation of the sphere 8x+4z=1-2x2+20y-2y2-2z2

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 9) Radius:…

A: Given:Center : (-1,-2,9)Radius: 7We will find the equation of the sphere

Q: Find the center and the radius of the sphere x + y² += - 4x+ y-6z+13=0 Center: Radius:

Q: Find the standard equation of the sphere with the given characteristics. Endpoints of a diameter:…

A: Given endpoints of diameter ::

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -7, 4) Radius:…

A: Given radius of circle is 9. And center is (-1,-7,4).

Q: Find the standard equation of the sphere with the given characteristics. Endpoints of a diameter:…

A: Given that End points of diameter (2,9,13),(2,-7,-6)

Q: Find an equation of the sphere whose endpoints of a diameter are (-2,0, 5) and (-1,2, 3).

A: To find the length of the diameter use the distance equation Therefore, D=-2-(-1)2+0-22+5-32…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -5, 3) Radius:…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -4, 5) Radius:…

A: topic - standard equation of sphere

Q: Write the equation of the sphere in standard form. 9x? + 9y? + 9z2 = 36x – 12y – 24

A: The givne equation of the sphere is 9x2+9y2+9z2=36x-12y-24

Q: Find the equation of a sphere whose center is on line 5y+2z=0=2x-3y and passes through point…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 5) Radius:…

A: We are given: Centre: (-1, -3, 5)Radius: 7 We need to find the standard equation for the sphere with…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -4, 4) Radius:…

Q: . 2x2 +2y? + 2z2 = 8x- 24z +1

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 8) Radius:…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 9) Radius:…

Q: Find the center and radius of the sphere with equation (x + 1)² + (y + 2)² + (z – 2)² = 4 Center:…

A: Explanation of the solution is given below...

Q: Find the standard equation of the sphere that has the points (5, −2, 3) and (0, 4,…

A: we know that equation of sphere which has end points of diameter as x1,y1,z1 and x2,y2,z2 is given…

Q: Find an equation of the sphere with center (1, –11, 8) and radius 10.

A: Center of sphere=1,-11,8radius of sphere , r=10Sphere has 3-dimensions ,hence equation of sphere…

Q: Find an equation of the sphere whose endpoints of a diameter are (-2, 0, 5) and (-1, 2, 3).

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -6, 9) Radius:…

Q: Determine the center-radius Form of the equation of the sphere whose- diameter has endpoints at (2,…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 8) Radius:…

Q: Find the center and radius of the sphere with equation (x + 2)2 + (y - 3)2 + (z + 6)² = 16 Center:…

Q: Write the equation of the sphere centered at (5, – 2, 4) with radius 3.

Q: Find an equation of the sphere with center (-2, 4,7) and radius 4/3

A: Given center -2,4,7 and radius =43find the equation of the sphere.Equation of sphere…

Q: What is the equation of the sphere whose center is at (0, -3, 8) and with a radius of 5? Select the

Q: Find the equation of the sphere which passes through the origin and the points (0, 1. -1), (-1,2, 0)…

A: Use the genres equation of sphere passing through origin.

Q: Find the equations for the spheres whose center is (7, -1, 5) and radius is 2.

A: To find: The equation of sphere whose centre and radius given. Given: The centre of sphere is 7,-1,5…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1,-6, 8) Radius:…

A: Given center and radius

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -6, 5) Radius:…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 5) Radius:…

A: topic - equation of a sphere

Q: Find the center and radius of the sphere (3x^2)+(3y^2)+(3z^2)-(6y)-(12z)-10=0

Q: Find an equation of the sphere that passes through the point (8, 1, -5) and has center (5, 6, 3).

A: The objective of the question is determine the question of sphere .

Q: Find the standard equation of the sphere with the given characteristics - Center: (3, −2, 6);…

A: We have to find the standard equation of the sphere where, center is given as 3, -2, 6 and radius is…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -6, 3) Radius:…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -5, 2) Radius:…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 4) Radius:…

Q: Find the radius and centre of the sphere x + y + – 4x + 2y-6z-11=0.

Q: Determine the equation for the sphere whose center and radius are given. Center Radius V13 (1,3,1)

A: Let center h,k,l=1,3,1 and radius r. Equation of the sphere with center h,k,l and radius r is given…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -9, 5) Radius:…

Q: Find the standard form of the equation of the sphere with the given characteristics. Endpoints of a…

A: The standard form of the equation of sphere is given by Where ( x0, y0, z0) is the center and r is…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -8, 8) Radius:…

A: Let's find.

Q: Find an equation for the sphere that has the points (8,2, –1) and (-4,–4,3) as endpoints on a…

A: Given points,

Q: Find equations for the sphere whose center and radius is given in center(0,-7,0) radius 7

A: General equation of sphere is given by:

Q: Find the standard equation of the sphere with center (-2, 5, -3), and radius 5.

Q: Find the equation of the sphere in standard form that satisfies the given conditions. diameter PQ,…

A: Distance between two points A(x1, y1, z1) and B(x2, y2, z2) is AB = x2-x12 + y2-y12 + z2-z12 The…

Question

100%

The equation of the sphere with Center (4,-1,3) and radius √5 is

(z – 4)? + (y + 1)² +(2 - 3)² = v5.
(z – 4)² + (y + 1) + (2 – 3)² = 5.
(z – 4)? + (y + 1)² + (2 - 3)² = 25.
( (2 – 3)2 = 5.
x- 4)2 + (y - 1)² +
(+ 4)²+(y-1)² + (z + 3)2 = 5.

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

Knowledge Booster

$Spheres$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

(D^5-3D^4+8D^3+16D^2-9D-13)y=0 nonhomogeneous undetermined coefficients
140x - 99y + 10z = 14504x + 130y - 93z = 12504X - 105Y +125Z = -850 Using Jacobi Method, determine X4 if initial guess X1= 5, Y1= 4, Z1 = 3.
x+y-z=6,3x-2y+z=-5,x+3y-2z=14
7x-4y-3z = 21 -4x+7y-z = 0 -3x-y+5z = 0 x, y, z?
For this problem, how would I find w-u?
1) Solve for x, y and z x + 2y - z = 0 2x + 3y - 2z = 3 -x - 4y + 3z = - 2
How would I find the basis and range rank for this linear algebra question?
How should I go about solving this, as well as future questions? What makes the answer right? When I cross mutliply, how do I know I'm doing it right? Why do I seperate x^2?
-x + 5y -z = -16 2x + 3y + 4z = 18 x + y -z = -8 splve using elimination method
all of the work I'm seeing for this type of problem has multiple parts for the answer, like x=0, y=0, & z=-t, but I only have one slot for an answer, so I'm not really sure how to answer this.
When you substitute y''p and yp into the equation, where does the: 4Ccos(2x) and -4Dsin(2x) come from? While you have 10 different trig functions from the substitution, there should only have been 8 trig finctions from the substitution.... y'' = -9Asin(3x) - 9Bcos(3x) - 4Csin(2x) - 4Dcos(2x) --> that's 4 and 4y = 4(Asin(3x) + Bcos(3x) +Csin(2x) + Dcos(2x)) --> that's the other 4. Where does the 4Ccos(2x) and -4Dsin(2x) come from in the multiplication?
XY = 11d, YZ = 9d - 2, XZ = 5d + 28 XY = 4n + 3, YZ = 2n - 7, XZ = 20 XY = 3a - 4, YZ = 6a + 2, XZ = 5a + 22 XY = 3k - 2, YZ = 7k + 4, XZ = 4k + 38 XY = 4x, YZ = x, and XZ = 25 XY = 4x, YZ = 3x, and XZ = 42