Find the Tangent Vector $\mathbf { r } ^ { \prime }$

question 9

Multiple Choice

Find the tangent vector $\mathbf { r } ^ { \prime }$ (t) of the function r (t) = sin 2t i - cos 2t j when t = $\frac { \pi } { 6 }$ .

• A) \(\frac { 1 } { 2 } \mathbf { i } + \frac { \sqrt { 3 } } { 2 } \mathbf { j }\)
• B) \(\frac { 1 } { 2 } \mathbf { i } - \frac { \sqrt { 3 } } { 2 } \mathbf { j }\)
• C) \(\mathbf { i } + \sqrt { 3 } \mathbf { j }\)
• D) \(- \mathbf { i } - \sqrt { 3 } \mathbf { j }\)
• E) \(\frac { \sqrt { 3 } } { 2 } \mathbf { i } + \frac { 1 } { 2 } \mathbf { j }\)
• F) \(\frac { \sqrt { 3 } } { 2 } \mathbf { i } - \frac { 1 } { 2 } \mathbf { j }\)
• G) \(- \sqrt { 3 } \mathbf { i } + \mathbf { j }\)
• H) \(- \sqrt { 3 } \mathbf { i } - \mathbf { j }\)

---

Definitions:

Newly Developed Products

Refers to items that have been brought to the market recently, showcasing innovative features or advancements not previously seen.

Growth Strategy

A plan of action aimed at increasing the size and scope of a business, usually through expanding operations, entering new markets, or increasing market share.

Insurance Agent

A professional who sells, solicits, or negotiates insurance policies on behalf of an insurance company.

Product Development

The process of bringing a new product or service to market, involving idea generation, design, development, and marketing, aimed at fulfilling a customer need or gap in the market.