Use the Given Transformation to Evaluate the Integral $\iint _ { R } x y d A$

question 27

Multiple Choice

Use the given transformation to evaluate the integral.
$\iint _ { R } x y d A$ , where $R$ is the region in the first quadrant bounded by the lines $y = x , y = 3 x$ and the hyperbolas $x y = 2 , x y = 4 ; x = \frac { u } { v } , y = v$ .

• A) \(9.447\)
• B) \(3.296\)
• C) \(8.841\)
• D) \(4.447\)
• E) \(5.088\)

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Definitions:

Opsonization

A process in which pathogens are marked for ingestion and destruction by phagocytes.

Complement Action

An aspect of the immune system involving a series of proteins that enhance the ability of antibodies and phagocytic cells to clear pathogens from an organism.

Germinal Centers

Areas within lymph nodes where mature B cells rapidly divide, differentiate, and mutate their antibody genes during an immune response.

Lymph Nodes

Small, bean-shaped structures that produce and store cells that help fight infection and disease as part of the lymphatic system.