Let R(t) = (T² + 2)i + (E ^t

question 70

Multiple Choice

Let r(t) = (t² + 2) i + (e ^t + 4) j + e ^t k. Find N(t) for t = 0. Approximate your calculations to three decimal places.

• A) 0
• B) i
• C) 0.577j + 0.577k
• D) i + 0.577j + 0.577k
• E) i - 1.732j - 1.732k

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Definitions:

Deontological Approach

A philosophical stance emphasizing duty, where the morality of an action is based on adherence to rules or duties rather than the consequences.

Immanuel Kant

An 18th-century German philosopher known for his work in epistemology, ethics, and aesthetics, particularly for his philosophy of the categorical imperative.

Ethics

The study of moral principles that govern an individual's behavior or conducting of an activity.

Social Egalitarian

Advocating for social equality and a belief in the equitable distribution of wealth and opportunities among all people.