Find the Work Done by the Force Field $\mathbf { F }$

question 42

Multiple Choice

Find the work done by the force field $\mathbf { F }$ on a particle that moves along the curve $C$ .
$$\mathbf { F } ( x , y ) = ( 5 x + 5 y ) \mathbf { i } + 4 x y \mathbf { j } ; C : \mathbf { r } ( t ) = 3 t ^ { 2 } \mathbf { i } + t ^ { 2 } \mathbf { j } , 0 \leq t \leq 1$$

• A) 17
• B) 19
• C) 34
• D) \(\frac { 71 } { 2 }\)

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Definitions:

Risk-Adjusted Return

A measure of the return on an investment portfolio that has been adjusted for the risk the investor has taken, providing a more accurate depiction of the portfolio's performance.

Market Advances

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Betas

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Sharpe Measure

A method to calculate risk-adjusted return, comparing the return of an investment to its risk.