Let $\overrightarrow { \vec { F } } = ( 3 x + 15 y ) \vec { i } + ( 3 x - 3 y ) \vec { j }$

question 58

Short Answer

Let $\overrightarrow { \vec { F } } = ( 3 x + 15 y ) \vec { i } + ( 3 x - 3 y ) \vec { j }$ Evaluate $\int_{C} \vec{F} \cdot d \vec{r}$ , where C is parameterized by $\vec { r } ( t ) = t \vec { i } + \frac { 1 } { 2 } t ^ { 2 } \vec { j } , \quad 0 \leq t \leq 2$

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Academic Achievement

The extent to which a student, teacher or institution has achieved their short or long-term educational goals.

School Transitions

The process and experience of moving from one educational stage to another, such as from elementary to middle school, which can impact a student's social and academic adjustment.

Academic Motivation

The drive and ambition to achieve success and excellence in academic environments, influencing one’s willingness to learn and persist through challenges.

Parenting Style

The manner in which a parent or caregiver chooses to raise and guide their children, impacting their development and behaviors.