Determine a region whose area is equal to the given limit. do not evaluate the limit.

lim
n
→
[infinity]

n
∑
i
=
1

π
3
n
tan
(
i
π
3
n
)

a).
x
tan
x
on
[
0
,
π
3
]

b).
tan
x
on
[
0
,
3
π
]

c).
tan
x
on
[
−
π
3
,
π
3
]

d).
x
tan
x
on
[
−
π
3
,
π
3
]

e).
tan
x
on
[
0
,
π
3
]

Paula makes stained-glass windows and sells them to boutique stores. if her costs total $12,000 per year plus $4 per window for the frame. how many windows must she produce to earn a profit of at least $48,000 in one year if she sells the windows for $28 each? 1. define a variable for the situation. 2. write an inequality that represents her profit. note: revenue is money coming in. cost is money going out. profit is the difference between the revenue and the cost. in other words: revenue - costs profit 3.using words, describe how many windows she must sell to have a profit of at least $48,000.

Acompany makes steel lids that have a diameter of 13 inches. what is the area of each lid? round your answer to the nearest hundredth

What is the midpoint of np if n (1,9) and p (-5-1)