Calculate the Flow in the Field F Along the Path $\mathbf { F } = \mathrm { e } ^ { 2 } \mathrm { i } + \frac { 1 } { \mathrm { y } } \mathrm { j } + 2 \mathbf { k } , \mathrm { C }$

question 74

Multiple Choice

Calculate the flow in the field F along the path C.
- $\mathbf { F } = \mathrm { e } ^ { 2 } \mathrm { i } + \frac { 1 } { \mathrm { y } } \mathrm { j } + 2 \mathbf { k } , \mathrm { C }$ is the curve $\mathbf { r } ( \mathrm { t } ) = 4 \mathrm { t } ^ { 2 } \mathrm { i } + 5 \mathrm { tj } + ( - 8 - 2 \mathrm { t } ) \mathbf { k } , 1 \leq \mathrm { t } \leq 3$

• A) \(4 \left( \mathrm { e } ^ { 225 } - \mathrm { e } ^ { 25 } \right) + \ln 3 - 8\)
• B) \(\frac { 8 } { 25 } \left( \mathrm { e } ^ { 225 } - \mathrm { e } ^ { 25 } \right) + \ln 3 - 8\)
• C) \(\frac { 4 } { 25 } \left( e ^ { 225 } - e ^ { 25 } \right) + \ln 3 - 8\)
• D) \(\frac { 4 } { 25 } \left( \mathrm { e } ^ { 225 } - \mathrm { e } ^ { 25 } \right) + \ln 3 + 8\)

Identify societal norms and expectations concerning mate selection and marital success.

Comprehend the statistical trends related to marriage, divorce, and singlehood in contemporary society.

Analyze the impacts of cultural practices such as endogamy, homogamy, and arranged marriages on relationship satisfaction.

Assess the factors influencing marital satisfaction and success, including parental influence and courtship duration.

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