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Question 4 0/1 pt 100 2 Details Find the standard equation of the sphere that has the point \( (2,-4,5) \) and \( (1,6,3) \) as endpoints of a diameter. Center of the Sphere is \( \square \) (If necessary, write your answer as a decimal.) Radius of the Sphere is \( \square \) Equation of the Sphere is \( \square \) Question Help: Video Message instructor Submit Question

          Question 4
0/1 pt
100
2
Details

Find the standard equation of the sphere that has the point \( (2,-4,5) \) and \( (1,6,3) \) as endpoints of a diameter.

Center of the Sphere is \( \square \) (If necessary, write your answer as a decimal.)

Radius of the Sphere is \( \square \)
Equation of the Sphere is \( \square \)
Question Help:
Video
Message instructor
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Question 4
0/1 pt
100
2
Details

Find the standard equation of the sphere that has the point (2,-4,5) and (1,6,3) as endpoints of a diameter.

Center of the Sphere is □ (If necessary, write your answer as a decimal.)

Radius of the Sphere is □
Equation of the Sphere is □
Question Help:
Video
Message instructor
Submit Question

Added by Karen F.

Calculus an Applied Approach

Ron Larson, David C, Falvo 8th Edition

Chapter 7

Instant Answer

Solved by Expert Khushbu Rani

Step 1

The center of the sphere is the midpoint of the diameter. The endpoints of the diameter are given as \( (2, -4, 5) \) and \( (1, 6, 3) \). Midpoint formula: \[ \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}, \frac{z_1 + z_2}{2} \right) \] Substitute the given Show more…

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Question 4 0/1 pt 100 2 Details Find the standard equation of the sphere that has the point \( (2,-4,5) \) and \( (1,6,3) \) as endpoints of a diameter. Center of the Sphere is \( \square \) (If necessary, write your answer as a decimal.) Radius of the Sphere is \( \square \) Equation of the Sphere is \( \square \) Question Help: Video Message instructor Submit Question