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Consider the Curve r(t)=(2t2+1)i+(t22)j+tk\vec { r } ( t ) = \left( 2 t ^ { 2 } + 1 \right) \vec { i } + \left( t ^ { 2 } - 2 \right) \vec { j } + t \vec { k }

question 11

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Consider the curve r(t)=(2t2+1)i+(t22)j+tk\vec { r } ( t ) = \left( 2 t ^ { 2 } + 1 \right) \vec { i } + \left( t ^ { 2 } - 2 \right) \vec { j } + t \vec { k } Does it pass through the point (1, -2, 0)?

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Definitions:

Mean

The arithmetic average of a set of numbers, calculated by adding them together and dividing by the number of quantities.

Point Estimate

A single value estimate of a population parameter that serves as the best guess or prediction of the parameter.

Confidence Limits

Confidence limits define the range within which a population parameter is estimated to lie with a certain level of confidence.

Standard Error

A measure of the dispersion or spread of sample means around the population mean.

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