Trisha is picking out a new lamp at a furniture store. There are 2 kinds of lamp bases and 2 different lampshades. Each lampshade comes in 2 different colors. Trisha also needs to choose one of the 8 kinds of lightbulbs available. How many different lamps can Trisha choose?

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.

How many credit hours will a student have to take for the two tuition costs to be equal? round the answer to the nearest tenth of an hour.

Any is very appreciated! (picture is provided below)not sure how to do this at all won't lie