Let $C$ Be a Smooth Curve Defined By $\mathbf { r } ( t ) = 2 \mathbf { i } + 3 t \mathbf { j } + 2 t ^ { 2 } \mathbf { k }$

question 19

Multiple Choice

Let $C$ be a smooth curve defined by $\mathbf { r } ( t ) = 2 \mathbf { i } + 3 t \mathbf { j } + 2 t ^ { 2 } \mathbf { k }$ , and let $\mathrm { T } ( t )$ and $\mathrm { N } ( t )$ be the unit tangent vector and unit normal vector to $C$ corresponding to $t$ . The plane determined by $\mathbf { T }$ and $\mathbf { N }$ is called the osculating plane. Find an equation of the osculating plane of the curve described by $\mathbf { r } ( t )$ at $t = 1$ .

• A) \(z = 2\)
• B) \(y = 3\)
• C) \(2 x + 3 y + 2 z = 1\)
• D) \(x = 2\)

Identify the factors necessary for the success of group incentive programs like gainsharing.

Evaluate the effectiveness of different incentive plans in achieving desired outcomes for both individuals and teams.

Understand how to calculate and interpret the results of a t-test for independent means.

Determine the total number of participants in a study based on degrees of freedom.

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