Calculate the Arc Length of the Indicated Portion of the Curve

question 61

Multiple Choice

Calculate the arc length of the indicated portion of the curve r(t) .
- $$r ( t ) = ( 7 t \sin t + 7 \cos t ) \mathbf { i } + ( 7 t \cos t - 7 \sin t ) \mathbf { j } ; - 3 \leq t \leq 5$$

• A) 112
• B) 56
• C) 119
• D) 238

---

Definitions:

Spinning

The process of turning fibers into yarn or thread by twisting them together, either manually or with machinery.

External Communication

The process of exchanging information between a company and external parties such as customers, suppliers, investors, and the public.

Cynical Listening

A type of listening where the listener doubts or questions the sincerity or validity of the speaker's messages.

Grapevine

An informal communication network within an organization, spreading information through personal contacts and conversations.