Find the Velocity of a Particle with the Given Position $$\mathbf { r } ( t ) = 19 e ^ { 5 t } \mathbf { i } + 5 e ^ { - 21 t } \mathbf { j }$$

question 96

Multiple Choice

Find the velocity of a particle with the given position function.
$$\mathbf { r } ( t ) = 19 e ^ { 5 t } \mathbf { i } + 5 e ^ { - 21 t } \mathbf { j }$$

• A) \(\mathbf { v } ( t ) = 19 e ^ { 5 t } \mathbf { i } + e ^ { - 21 t } \mathbf { j }\)
• B) \(\mathbf { v } ( t ) = 95 e ^ { 5 t } \mathbf { i } - 105 e ^ { - 21 t } \mathbf { j }\)
• C) \(\mathbf { v } ( t ) = 19 e ^ { 5 t } \mathbf { i } - 105 e ^ { - 21 t } \mathbf { j }\)
• D) \(\mathbf { v } ( t ) = e ^ { 5 t } \mathbf { i } + 105 e ^ { - 21 t } \mathbf { j }\)
• E) \(v ( t ) = 95 e ^ { 5 t } \mathbf { i } + 105 e ^ { - 21 t } \mathbf { j }\)

Identifying various nonverbal cues and their functions in interpersonal communication.

Differentiating between verbal and nonverbal aspects of communication.

Describing the role of perception checking in communication.

Enhancing skills in expressing and interpreting nonverbal messages.

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Definitions:

Water

A transparent, tasteless, odorless, and nearly colorless chemical substance that is the main constituent of Earth's hydrosphere and the fluids of all known living organisms.

Plasmolysis

The process in which plant cells lose water in a hypertonic solution, causing the cell membrane to detach from the cell wall.

Turgor Pressure

The pressure within cells resulting from the uptake of water, contributing to the stiffness and stability of plant tissues.

Plasma Membrane

The semipermeable membrane surrounding the cytoplasm of a cell, regulating the passage of molecules in and out of the cell.