Set Up a Triple Integral for the Volume of the Solid

question 2

Multiple Choice

Set up a triple integral for the volume of the solid bounded by the coordinate planes and the plane given below. $z = 12 - 6 x - 8 y$

• A)\( \int_{0}^{2} \int_{0}^{\frac{12-6 x}{8}}\int_{0} ^ {12-6x-8y}dzdydx \)
• B) \( \int_{0}^{2} \int_{0}^{\frac{12-6 x}{8}}\int_{0} ^ {12-6x-8y}dydzdx \)
• C) \(\int _ { 0 } ^ { 12 } \int _ { 0 } ^ { \frac { 12 - 6 x } { 8 } } \int _ { 0 } ^ { 12 - 6 x - 8 y } d z d y d x\)
• D) \(\int _ { 0 } ^ { 2 } \int _ { 0 } ^ { \frac { 12 - 6 x } { 8 } } \int _ { 0 } ^ { 12 - 6 x - 8 y } d x d y d z\)
• E)\( \int_{0}^{\frac{12-6x}{8}} \int_{0}^{2}\int_{0} ^ {12-6x-8y}dzdydx \)

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Definitions:

Replication

The method whereby a double-helix DNA molecule replicates itself to create two duplicate DNA molecules.

DNA Polymerase

An enzyme that plays a critical role in DNA replication, facilitating the synthesis of a new strand of DNA by adding nucleotides matched to the template strand.

Adds Nucleotides

A process that involves the addition of nucleotide units to a nucleic acid molecule such as DNA or RNA.

Diploid

A cell or organism that has two sets of chromosomes, one from each parent, typical of somatic cells.