(a) Write the definition of the triple integral of f over a rectangular box B. (b) How...

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(a) Write the definition of the triple integral of f over a rectangular box B.

(b) How do you evaluate ∫∫∫B f(x, y, z) dV?

(c) How do you define ∫∫∫E f(x, y, z) dV if E is a bounded solid region that is not a box?

(d) What is a type 1 solid region? How do you evaluate ∫∫∫f(x, y, z) dV if E is such a region?

(e) What is a type 2 solid region? How do you evaluate ∫∫∫E f(x, y, z) dV if E is such a region?

(f) What is a type 3 solid region? How do you evaluate ∫∫∫E f(x, y, z) dV if E is such a region?

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Related Book For  answer-question

Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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