Function and Linear question look at the image

I will give brainliest if correct

Question and answers are in the attached picture. you so much in advance.

Find the arc length parameter along the given curve from the point where tequals=0 by evaluating the integral s(t)equals=integral from 0 to t startabsolutevalue bold v left parenthesis tau right parenthesis endabsolutevalue d tau∫0tv(τ) dτ. then find the length of the indicated portion of the curve r(t)equals=1010cosine tcost iplus+1010sine tsint jplus+88t k, where 0less than or equals≤tless than or equals≤startfraction pi over 3 endfraction π 3.

Which of the following is the explicit rule for a geometric sequence defined a recursive formula of a -5a for which the first term is 23?