Solve the Problem $\int _ { 0 } ^ { 4 } \int _ { 0 } ^ { 7 - x } \int _ { 0 } ^ { 10 - y - x } d x d y d z$

question 117

Multiple Choice

Solve the problem.
-Write an iterated triple integral in the order dx dy dz for the volume of the rectangular solid in the first octant bounded by the planes x = 4, y = 7, and z = 10.

• A) \(\int _ { 0 } ^ { 4 } \int _ { 0 } ^ { 7 - x } \int _ { 0 } ^ { 10 - y - x } d x d y d z\)
• B) \(\int _ { 0 } ^ { 4 } \int _ { 0 } ^ { 7 } \int _ { 0 } ^ { 10 } \mathrm { dx } d y \mathrm { dz }\)
• C) \(\int _ { 0 } ^ { 10 } \int _ { 0 } ^ { 7 - x } \int _ { 0 } ^ { 4 - y }\)
• D) \(\int _ { 0 } ^ { 10 } \int _ { 0 } ^ { 7 } \int _ { 0 } ^ { 4 } \mathrm { dx } d y \mathrm { dz }\)

---

Definitions:

Polyploid Speciation

A form of speciation where the number of chromosomes in the genome of a new species is doubled or increased.

Self-Fertilization

A form of reproduction in which an organism fertilizes itself, often leading to a decrease in genetic diversity over time.

Plant Species

Distinct types of plants that belong to a particular genus, distinguished by specific genetic, morphological, or physiological characteristics.

Allopatric Speciation

The process of speciation that occurs when biological populations of the same species become isolated from each other to an extent that prevents or interferes with genetic interchange.