Find the Unit Tangent Vector T(t) to the Curve R $t \mathbf { i } + t ^ { 2 } \mathrm { j }$

question 105

Multiple Choice

Find the unit tangent vector T(t) to the curve r (t) = $t \mathbf { i } + t ^ { 2 } \mathrm { j }$ when t = 0.

• A)i
• B)j
• C) \(\frac { 1 } { \sqrt { 2 } } \mathbf { i } + \frac { 1 } { \sqrt { 2 } } \mathbf { j }\)
• D) \(\frac { 1 } { \sqrt { 2 } } \mathbf { i } - \frac { 1 } { \sqrt { 2 } } \mathbf { j }\)
• E) \(\frac { 2 } { \sqrt { 5 } } \mathbf { i } + \frac { 1 } { \sqrt { 5 } } \mathbf { j }\)
• F) \(\frac { 1 } { \sqrt { 5 } } \mathbf { i } + \frac { 2 } { \sqrt { 5 } } \mathbf { j }\)
• G) \(\frac { 2 } { \sqrt { 5 } } \mathbf { i } - \frac { 1 } { \sqrt { 5 } } \mathbf { j }\)
• H) \(\frac { 1 } { \sqrt { 5 } } \mathbf { i } - \frac { 2 } { \sqrt { 5 } } \mathbf { j }\)

Understand the factors contributing to individual differences in intelligence.

Analyze the results and controversies of intelligence testing across different ethnic groups.

Grasp the impact of genetic and environmental factors on intelligence.

Understand how intelligence is assessed and valued in non-Western cultures.

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