Evaluate the Surface Integral $\iint _ { S } 3 z d S$

question 31

Multiple Choice

Evaluate the surface integral. Round your answer to four decimal places.
$\iint _ { S } 3 z d S$
$S$ is surface $x = y ^ { 2 } + 2 z ^ { 2 } , 0 \leq y \leq 1,0 \leq z \leq 1$ .
Select the correct answer.

• A) \(10.5963\)
• B) \(13.5963\)
• C) \(4.5963\)
• D) \(23.5963\)
• E) \(8.5963\)

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Definitions:

FSH

Follicle-stimulating hormone, a gonadotropin involved in the regulation of reproductive processes.

LH

Luteinizing hormone, a gonadotropin released by the anterior pituitary gland that plays key roles in controlling the function of ovaries in females and testes in males.

Apoptosis

Programmed cell death; a predictable, controlled process of cell self-destruction.

Morphogenesis

The biological process that causes an organism to develop its shape, a critical aspect of embryonic development and regeneration.