Use Cylindrical or Spherical Coordinates, Whichever Seems More Appropriate, to Evaluate

question 94

Short Answer

Use cylindrical or spherical coordinates, whichever seems more appropriate, to evaluate $\iiint _ { E } z d V$ where $E$ lies above the paraboloid $z = x ^ { 2 } + y ^ { 2 }$ and below the plane $z = 25$ .

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Definitions:

Skeletal Differences

Variations in the structure or composition of the skeletal system among different organisms or individuals, often used in the study of evolutionary biology and anthropology.

Hominoids

A group that includes all modern and extinct Great Apes and humans, characterized by larger brains, no tail, and an upright posture.

Hominins

refers to members of the human lineage after the split from the common ancestor with chimpanzees, including modern humans and extinct human species.

Ardipithecus

A genus of early hominids whose fossils provide insight into human evolution. It includes species such as Ardipithecus ramidus, which lived approximately 4.4 million years ago.