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1. Determine the volume of the solid generated by rotating function f(x) = √(64 - x2) about the x-axis on [6, 8].
2. Find the volume of the solid formed by rotating the region enclosed by y = e3x + 1, y = 0, x = 0, x = 0.4 about the x-axis.
3. Find the average value of the function f(x) = 5x2 on the interval 0 ≤ x ≤ 4.
4. Suppose you deposit $6000 at 7% interest compounded continuously. Find the average value of your account during the first 2 years.
5. If a cup of coffee has temperature 100oC in a room where the ambient air temperature is 24oC, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t) = 24 + 76e-t/50. What is the average temperature of the coffee during the first 28 minutes?
Oakwood Plowing Company purchased two new plows for the upcoming winter. In 210 days, Oakwood must make a single payment of $25,170 to pay for the plows. As of today, Oakwood has $24,400.
What global marketing challenges would you face if the simulation were based on a real-world situation? Discuss the difference in the experience you would have with the assumptions built into the simulation (e.g., no cultural barriers, language, c..
A California license plate consists of a digit followed by three letters, and then three digits. How many such license plates are there?
The answer to Spanning sets, Determine spanning sets for each of the four fundamental subspaces associated with the matrix
Box A contains the numbers 1, 2, 3, and 4. Box B contains the numbers 5, 6, 7, and 8. A number is first drawn from Box A and then another number from Box B. Using how many outcomes are in the event of getting both numbers even?
How many times more energy is released by a magnitude 6 earthquake than by a magnitude 2 earthquake?When you are 2 meters away from the speakers at a concert, the sound level is 130 db. How far away should you sit to reduce the level to 110 dB?
in a local district 800 republicans, 500 democrats and 200 independent voters. if a voter is chosen at random what is the prabability that the voter selected is not republican?
How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution
Probability of a person keeping in touch with his or her parents. Please show the formula, and the steps in working the formula, to solve problems.
a sum of money is shared among 3 brothers the eldest received 7/13, and the next received 2/3 of the remainder. If the youngest brother received $6 . Find the sum of the money shared.
suppose traffic engineers have coordinated the timing of two traffic lights to encourage a run of green lights. in
1) A Batch of 40 good workpieces is to be produced using a sand casting process with a starting material thatcosts $40 a piece. The time it takes to fill the mold is 10 seconds, while the solidification time is 1minute. The casting is removed from th..
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