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1. Find a formula for a function that has vertical asymptotes x = 7 and x = 9 and horizontal asymptote y = 7.
2. (a) A tank contains 5000 L of pure water. Brine that contains 35 g of salt per liter of water is pumped into the tank at a rate of 25 L/min. Show the concentration of salt t minutes later (in grams per liter).
(b) What happens to the concentration as t → ∞?
3. Find the limit, if it exists. (If an answer does not exist, enter DNE.)
limx → ∞(x - 7) / (x2 + 2).
Imagine you've been left in charge of an ice cream stall and you have three flavours of ice cream to sell - vanilla, strawberry and chocolate.
Find the five month moving average
The length of a rectangular room is 4 feet longer than twice the width. If the room's perimeter is 212 feet, find the length of the room.
jaline can purchase tile at a store for .99 cents per tile and rent a tile saw for 24 dollars. at another store she can
determine the steady state response of this system.
Volume = LxWxH. A box has a volume of 216 cubic feet. Find all the possible whole number dimensions of the cube.
hardware store sells house numerals. It has large quantities of the numerals 3, 5 and 8 but is out of all the others. How many different house numbers, with no more than three digits, can be made from these numerals?
Conclude from the previous part that lim sin(1/x) as x goes to 0 does not exist.
a baseball team has home games on thursday and sunday. the two games together earn 3725.50 for the team. thursdays
A building casts a shadow 345 ft long when the angle of elevation of the sun is 48°. Find the height of the building.
Leah makes $24 per hour for a 40-hour week and time and a half for every hour over 40 hours. If she made $1140 last week, how many overtime hours did she work?
Two tracking stations are on the equator 134 miles apart. A weather balloon is located on a bearing of N 38°E from the western station and on a bearing of N 19°E from the eastern station. How far is the balloon from the western station? Round to t..
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