Given That $d Y _ { t } = b d W _ { t }$

question 15

Multiple Choice

Given that $d Y _ { t } = b d W _ { t }$ and $X _ { t } = e ^ { Y t }$ ,what is $d X _ { t }$ ?

• A) \(e ^ { b d W _ { t } }\)
• B) \(X _ { t } e ^ { b ^ { 2 } dt + Y _ { t } d W _ { t } }\)
• C) \(\ln \left( X _ { t } \right) \left[ \frac { 1 } { 2 } b ^ { 2 } d t + b d W _ { t } \right]\)
• D) \(b X _ { t } \left[ \frac { 1 } { 2 } b d t + d W _ { t } \right]\)

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Definitions:

Urethra

The tube that conducts urine from the bladder to the outside of the body in both males and females.

Glomerular Capsule

A cup-like sac at the beginning of the tubular component of a nephron in the kidney that performs the first step in the filtration of blood to form urine.

Proximal Convoluted Tubule

A portion of the kidney nephron responsible for reabsorbing water, sodium, and other substances from the filtrate.

Distal Convoluted Tubules

Part of the nephron in the kidney that functions in the reabsorption of water, sodium, and chloride and the secretion of potassium and hydrogen ions.