Find $\mathbf { r } ^ { \prime \prime } ( t )$

question 77

Short Answer

Find $\mathbf { r } ^ { \prime \prime } ( t )$ for the function given.
$$\mathbf { r } ( t ) = 8 \mathbf { i } + \sin t \mathbf { j } + \cos t \mathbf { k }$$

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Definitions:

Pentane

A straight-chain alkane with the formula C5H12, used as a solvent in the laboratory and as a standard in certain types of chromatography.

Mass Spectrum

A graph or chart that displays the distribution of ions by mass in a sample, providing information about the molecular weight and structure of compounds.

Cyclopentanol

A cyclic alcohol with the formula C5H9OH, characterized by a five-membered ring structure with an attached hydroxyl group.

Peak

The highest point or maximum value of a graph, often used in reference to spectra in analytical chemistry indicating a specific property.