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Consider the Curve r(t)=(2t2+1)i+(t2+1)j+tk\vec { r } ( t ) = \left( 2 t ^ { 2 } + 1 \right) \vec { i } + \left( t ^ { 2 } + 1 \right) \vec { j } + t \vec { k }

question 19

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Consider the curve r(t)=(2t2+1)i+(t2+1)j+tk\vec { r } ( t ) = \left( 2 t ^ { 2 } + 1 \right) \vec { i } + \left( t ^ { 2 } + 1 \right) \vec { j } + t \vec { k } Does the curve lie on the parametric surface x=s2+t2,y=s2,z=t?x = s ^ { 2 } + t ^ { 2 } , y = s ^ { 2 } , z = t ?


Definitions:

Table

A collection of data organized in rows and columns, making it easy to store, access, and manage information efficiently.

Shape Height

The vertical measurement or dimension of a graphical shape or object in a document or graphic design.

Shape Width

The measurement of how wide a shape is within a drawing or document, which can be adjusted according to design requirements.

Resize

The process of changing the dimensions of an image, window, or other screen elements, either to enlarge or reduce its size.

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