Find the Velocity of a Particle with the Given Position $\mathbf { r } ( t ) = 11 e ^ { 9 t } \mathbf { i } + 9 e ^ { - 13 t } \mathbf { j }$

question 35

Multiple Choice

Find the velocity of a particle with the given position function. $\mathbf { r } ( t ) = 11 e ^ { 9 t } \mathbf { i } + 9 e ^ { - 13 t } \mathbf { j }$

• A) \(\mathbf { v } ( t ) = e ^ { 9 t } \mathbf { i } + 117 e ^ { - 13 t } \mathbf { j }\)
• B) \(\mathbf { v } ( t ) = 99 e ^ { 9 t } \mathbf { i } - 117 e ^ { - 13 t } \mathbf { j }\)
• C) \(\mathbf { v } ( t ) = 11 e ^ { 9 t } \mathbf { i } + e ^ { - 13 t } \mathbf { j }\)
• D) \(\mathbf { v } ( t ) = 11 e ^ { 9 t } \mathbf { i } - 117 e ^ { - 13 t } \mathbf { j }\)
• E) \(\mathbf { v } ( t ) = 99 e ^ { 9 t } \mathbf { i } + 117 e ^ { - 13 t } \mathbf { j }\)

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Definitions:

Confidence

The degree to which one can be certain about the accuracy of a result, often quantified in statistics through a confidence interval.

Skewness

A measure of the asymmetry of the probability distribution of a real-valued random variable about its mean.

Symmetry

In mathematics, a property by which an object is mirroring on one or more axes or points, showing balance and uniformity in its shape or form.

Positively Skewed

Describes a distribution of values where the longer tail is on the right side, often with a concentration of data towards the lower end.