If $\mathbf { r } ( t ) = \left( t , t ^ { 5 } , t ^ { \imath } \right\rangle$

question 31

Multiple Choice

If $\mathbf { r } ( t ) = \left( t , t ^ { 5 } , t ^ { \imath } \right\rangle$ , find $\mathbf { r } ^ { tt } ( t )$

• A) \(\left( 0,42 t ^ { 4 } , 20 t ^ { 2 } \right\rangle\)
• B) \(\left( 0,42 t ^ { 5 } , 20 t ^ { 3 } \right)\)
• C) \(\left( 0,20 t ^ { 3 } , 42 t ^ { 5 } \right)\)
• D) \(\left\langle 1,5 t ^ { 6 } , 7 t ^ { 8 } \right\}\)
• E) \(\left( 0,20 t ^ { 2 } , 42 t ^ { 4 } \right)\)

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Definitions:

Straight-Line Method

A method of calculating depreciation of an asset by evenly spreading its cost over the expected useful life of the asset.

Depreciation Expense

The portion of the cost of a fixed asset that is considered an expense due to its wear and tear over a specific period.

Useful Life

The estimated period over which a fixed asset is expected to be usable by the entity, affecting its depreciation calculation.

Straight-Line Method

An accounting method of depreciating fixed assets evenly over their useful lives.