A Wire in the Shape of the Curve $x = t ^ { 3 } , y = 2 t ^ { \frac { 3 } { 2 } } , z = 3 t + 1,0 \leq t \leq 1$

question 181

Short Answer

A wire in the shape of the curve $x = t ^ { 3 } , y = 2 t ^ { \frac { 3 } { 2 } } , z = 3 t + 1,0 \leq t \leq 1$ has density function $p ( x , y , z ) = y ^ { 2 } + 1$ . Find the mass of the wire.

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Definitions:

Output Level

The amount of products or services generated by a company or economic system within a specified timeframe.

Marginal Revenue

The additional income earned from selling one more unit of a good or service.

Output

The volume of output in terms of products or services from a business, sector, or country within a designated timeframe.

Units

Units are standard measures or quantities used to specify or quantify the dimensions, amount, or capacity of something.