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

question 6

Multiple Choice

Given that $d Y _ { t } = b d W _ { t }$ and $X _ { t } = Y _ { t } ^ { 3 }$ , what is $d X _ { t }$ ?

• A) \(3 b X _ { t } ^ { 1 / 3 } \left[ 2 b d t + X _ { t } ^ { 1 / 3 } d W _ { t } \right]\)
• B) \(3 b Y _ { t } \left[ Y _ { t } d t + b d W _ { t } \right]\)
• C) \(b ^ { 3 } d W _ { t } ^ { 3 }\)
• D) \(b ^ { 3 } d W d t\)

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Definitions:

Drum Micrometer

A precision measuring tool used to accurately measure the inside diameter of brake drums.

Drum Diameter

The inside diameter of a brake drum, which can affect the brake assembly's efficiency and the vehicle's braking performance.

Drum's Friction Surface

The area on a brake drum where the brake shoes make contact, creating friction to slow down or stop the vehicle.

Drum Micrometer

A measuring tool specifically designed for checking the internal dimensions of brake drums to ensure they are within specification.