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13. Find an equation of the sphere with center (-3, 2, 5) and radius 4. What is the intersection of this sphere with the yz-plane?

13. Find an equation of the sphere with center (-3, 2, 5) and radius 4. What is the intersection of this sphere with the yz-plane?

C++ for Engineers and Scientists
C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter1: Fundamentals Of C++ Programming
Section: Chapter Questions
Problem 2PP: (Conversion) An object’s polar moment of inertia, J, represents its resistance to twisting. For a...
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yz-plane? 13. Find an equation of the sphere with center (-3, 2, 5) and radius 4. What is the intersection of this sphere with the 14. Find an equation of the sphere with center (2, -6, 4) and radius 5. Describe its intersection with each of the coordinate planes. 15. Find an equation of the sphere that passes through the point (4, 3, -1) and has center (3, 8, 1). Hola 16. Find an equation of the sphere that passes through the origin and whose center is (1, 2, 3). 17-20 Show that the equation represents a sphere, and find its center and radius. bue (ups 10) Insis 17. x² + y² + z² - 2x - 4y + 8z = 15 18. x² + y² + z² + 8x - 6y + 2z + 17 = 0 19. 2x² + 2y² + 2z² = 8x - 24z + 1 20. 3x² + 3y² + 3z² = 10 + 6y + 12z 00 21. (a) Prove that the midpoint of the line segment from P₁(x, y, z₁) to P2(x2, y2, 22) is *** F x₁ + x2 ₁ + y₂ Z₁ + Z2 2 2 triangle with ver- of a S 40 4 4 4
Transcribed Image Text:yz-plane? 13. Find an equation of the sphere with center (-3, 2, 5) and radius 4. What is the intersection of this sphere with the 14. Find an equation of the sphere with center (2, -6, 4) and radius 5. Describe its intersection with each of the coordinate planes. 15. Find an equation of the sphere that passes through the point (4, 3, -1) and has center (3, 8, 1). Hola 16. Find an equation of the sphere that passes through the origin and whose center is (1, 2, 3). 17-20 Show that the equation represents a sphere, and find its center and radius. bue (ups 10) Insis 17. x² + y² + z² - 2x - 4y + 8z = 15 18. x² + y² + z² + 8x - 6y + 2z + 17 = 0 19. 2x² + 2y² + 2z² = 8x - 24z + 1 20. 3x² + 3y² + 3z² = 10 + 6y + 12z 00 21. (a) Prove that the midpoint of the line segment from P₁(x, y, z₁) to P2(x2, y2, 22) is *** F x₁ + x2 ₁ + y₂ Z₁ + Z2 2 2 triangle with ver- of a S 40 4 4 4
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