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

question 108

Short Answer

Find $\mathbf { r } ^ { \prime } ( t )$ for the function given.
$$\mathbf { r } ( t ) = 4 \mathbf { i } + \sin t \mathbf { j } + \cos t \mathbf { k }$$

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Definitions:

Microfossils

Tiny fossilized structures, often less than 1mm in size, that require microscopic examination to study and are used in geological and biological research for dating rocks and understanding past environments.

Stromatolites

Layered sedimentary formations created by the growth of microbial mats, among the oldest evidence of life on Earth.

Organic Molecules

Molecules that contain carbon and are typically found in living systems, including carbohydrates, proteins, lipids, and nucleic acids.

Miller

A term often associated with the Miller-Urey experiment, which simulated early Earth conditions and demonstrated that organic compounds could be formed from inorganic substances.