Solve the Problem $\mathrm { dz } \mathrm { dy } \mathrm {} \mathrm { dx }$

question 322

Multiple Choice

Solve the problem.
-Write an iterated triple integral in the order $\mathrm { dz } \mathrm { dy } \mathrm {} \mathrm { dx }$ for the volume of the tetrahedron cut from the first octant by the plane $\frac { x } { 10 } + \frac { y } { 3 } + \frac { z } { 5 } = 1$ .

• A) \(\int _ { 0 } ^ { 10 } \int _ { 0 } ^ { 1 - y / 3 } \int _ { 0 } ^ { 1 - x / 10 - y / 3 } d z d y d x\)
• B) \(\int _ { 0 } ^ { 10 } \int _ { 0 } ^ { 1 - x / 10 } \int _ { 0 } ^ { 1 - x / 10 - y / 3 } d z d y d x\)
• C)\(\int_{0}^{10} \int_{0}^{3(1-x / 10)} \int_{0}^{5(1-x / 10-y / 3)} d z d y d x\)
• D)\(\int_{0}^{10} \int_{0}^{10(1-y / 3)} \int_{0}^{5(1-x / 10-y / 3)} d z d y d x\)

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Definitions:

Hypercalcemia

A condition characterized by an abnormally high level of calcium in the blood.

Hypocalcemia

A medical condition characterized by low levels of calcium in the blood.

Immune Response

The reaction of the immune system against foreign substances or pathogens, including both innate and adaptive immune mechanisms.

Antigen

Any substance that the immune system can recognize and potentially trigger an immune response, often a protein on the surface of pathogens, allergens, or cancer cells.