Given $\mathbf { r } ( t ) = 3 t ^ { 2 } \mathbf { i } + 4 t ^ { 3 } \mathbf { j }$

question 64

Short Answer

Given $\mathbf { r } ( t ) = 3 t ^ { 2 } \mathbf { i } + 4 t ^ { 3 } \mathbf { j }$
a. Find $\mathbf { r } ( - 1 )$ and $\mathbf { r } ^ { \prime } ( - 1 )$ .
b. Sketch the curve defined by r and the vectors $\mathbf { r } ( - 1 )$ and $\mathbf { r } ^ { \prime } ( - 1 )$ on the same set of axes.

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Definitions:

Unit Costs

The expense associated with manufacturing, storing, or acquiring a single unit of a good or service.

Process Cost System

An accounting method used to apply costs to similar products that are mass-produced in a continuous fashion.

Natural Gas Refinery

A facility that processes natural gas to remove impurities and possibly extract valuable hydrocarbons and fluids.

Process Cost System

An accounting method used to track production costs for large quantities of identical items by accumulating costs across processes or departments.