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A Particle Moves with Position Function r(t)=42ti+e4tj+e4tk\mathbf { r } ( t ) = 4 \sqrt { 2 } t \mathbf { i } + e ^ { 4 t } \mathbf { j } + e ^ { - 4 t } \mathbf { k }

question 55

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A particle moves with position function r(t)=42ti+e4tj+e4tk\mathbf { r } ( t ) = 4 \sqrt { 2 } t \mathbf { i } + e ^ { 4 t } \mathbf { j } + e ^ { - 4 t } \mathbf { k } . Find the acceleration of the particle.

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Definitions:

F Distribution

A continuous probability distribution that arises frequently as the null distribution of a test statistic, especially in the analysis of variance (ANOVA).

Numerator

The top number in a fraction, representing the part of the whole or the dividend in division.

Chi-square Distribution

A statistical distribution that describes the distribution of the sum of the squares of a set of variables, often used in hypothesis testing.

Random Variable

A variable that can take on numerical values based on the outcomes of a random event.

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