Provide an appropriate response.Give a geometric interpretation of the triple integral Describe the three-dimensional region associated with this integral in detail.

What will be an ideal response?


This integral represents the volume of a wedge cut from a sphere of radius 1 by two half-planes whose edges meet at a 45° angle along a diameter of the sphere. The region resembles a section of an orange and is  of the entire sphere.

Mathematics

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Give the name of the surface.

A. Octagonal cone B. Octagonal pyramid C. Oblique cylinder D. Right octagonal prism

Mathematics

Evaluate the integral if it exists.

Mathematics

Find the unknown number in the proportion. Write your answer as a whole number or a mixed number if possible. = 

A. x = 
B. x = 4
C. x = 
D. x = 14

Mathematics

Decide if the given ordered pair is a solution to the inequality.y ? -x: (-23, 23)

A. Yes B. No

Mathematics