Solve the Problem $\int _ { 0 } ^ { 10 } \int _ { 0 } ^ { 8 - x } \int _ { 0 } ^ { 7 - y - x } d z d y d x$

question 205

Multiple Choice

Solve the problem.
-Write an iterated triple integral in the order dz dy dx for the volume of the rectangular solid in the first octant bounded by the planes x = 7, y = 8, and z = 10.

• A) \(\int _ { 0 } ^ { 10 } \int _ { 0 } ^ { 8 - x } \int _ { 0 } ^ { 7 - y - x } d z d y d x\)
• B) \(\int _ { 0 } ^ { 7 } \int _ { 0 } ^ { 8 - x } \int _ { 0 } ^ { 10 - y - x } d z d y d x\)
• C) \(\int _ { 0 } ^ { 7 } \int _ { 0 } ^ { 8 } \int _ { 0 } ^ { 10 } d z d y d x\)
• D) \(\int _ { 0 } ^ { 10 } \int _ { 0 } ^ { 8 } \int _ { 0 } ^ { 7 } d z d y d x\)

---

Definitions:

Audience's Feelings

The emotions or sentiments experienced by viewers, readers, or listeners in response to a message, performance, or event.

Logical Appeal

A method of persuasion that uses evidence and reasoning to convince an audience of a particular point of view or action.

Human Reason

The capacity of the human mind to analyze, create, deduce, and understand logical connections and facts.

Mobile App

A software application designed to run on mobile devices, created for a variety of purposes from entertainment to business.