The Curve $\vec { r } ( t ) = a t \vec { i } + ( t + 4 ) \vec { j } + \left( b t ^ { 2 } + 6 \right) \vec { k }$

question 34

Short Answer

The curve $\vec { r } ( t ) = a t \vec { i } + ( t + 4 ) \vec { j } + \left( b t ^ { 2 } + 6 \right) \vec { k }$ passes through the point (-12, 1, 51).Find a and b.

---

Definitions:

Processes

Sequences of actions or steps taken in order to achieve a particular end.

Shorthand

A method of rapid writing by using symbols or abbreviations for words or phrases, traditionally used for taking notes or transcribing speeches.

Symbols

Are concrete objects or abstract terms that represent something else.

Abstraction Process

In thought or analysis, the method of isolating or separating properties or qualities from concrete realities to consider them independently.