a.Lfind the equation of the sphere that has a center at (2,1,4) and a point on the sphere at \(-1,-2,2). b) Find the equation of the plane that contains the point (0,0,3). (1,2, -1) and (2,-1,3). c.) Find the radius of the circle traced by the intersection of the plane you found in (b) with the sphere you found in (a). (Hint: set z = k, k €Z until you find the largest chord of the tircle, desmos will help a lot for this problem, include a screenshot of your work on desmos for this problem if you decide to use it.) %3D
a.Lfind the equation of the sphere that has a center at (2,1,4) and a point on the sphere at \(-1,-2,2). b) Find the equation of the plane that contains the point (0,0,3). (1,2, -1) and (2,-1,3). c.) Find the radius of the circle traced by the intersection of the plane you found in (b) with the sphere you found in (a). (Hint: set z = k, k €Z until you find the largest chord of the tircle, desmos will help a lot for this problem, include a screenshot of your work on desmos for this problem if you decide to use it.) %3D
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 47PS
Related questions
Question
Just part c.pls do it soon
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 4 images
Recommended textbooks for you
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,