Find the Work Done by F Over the Curve in the Direction

question 50

Multiple Choice

Find the work done by F over the curve in the direction of increasing t.
- $$\mathbf { F } = \mathrm { zi } + 3 \mathrm { x } \mathbf { j } + 6 y \mathbf { k } ; \mathrm { C } : \mathbf { r } ( \mathrm { t } ) = \mathrm { ti } + \mathrm { tj } + \mathrm { t } \mathbf { k } , 0 \leq \mathrm { t } \leq 1$$

• A) \(W = 5\)
• B) \(W = \frac { 15 } { 2 }\)
• C) \(W = 15\)
• D) \(W = 30\)

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Definitions:

Work Habits

Patterns of behavior and practices associated with how one performs job-related tasks.

Informal Mentoring

A non-structured, nurturing relationship where an experienced individual provides guidance, knowledge, and support to someone less experienced, often organically evolving based on mutual interests and respect.

Self-Disclosure

The act of revealing personal or private information about oneself to others.

Trust

The reliance on the integrity, strength, ability, surety, or certainty of a person or thing; foundational to building effective relationships.