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Consider the Parametric Surface r(s,t)=ssin(π2)i+scos(π2)j+4tk\vec { r } ( s , t ) = s \sin \left( \frac { \pi } { 2 } \right) \vec { i } + s \cos \left( \frac { \pi } { 2 } \right) \vec { j } + 4 t \vec { k }

question 2

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Consider the parametric surface r(s,t)=ssin(π2)i+scos(π2)j+4tk\vec { r } ( s , t ) = s \sin \left( \frac { \pi } { 2 } \right) \vec { i } + s \cos \left( \frac { \pi } { 2 } \right) \vec { j } + 4 t \vec { k } Does it contain the x-axis?

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Definitions:

Equation

A mathematical statement that asserts the equality of two expressions, typically involving one or more variables.

Slope

The measure of the steepness or incline of a line, defined as the ratio of the vertical change to the horizontal change.

Equation

A mathematical statement that asserts the equality of two expressions, often including variables and constants.

Point

A singular location in space that can represent a position on a graph or in a geometric context.

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