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A cylindrical tank with a cross-sectional area of 100cm^2 is filled to a depth of 100 cm with water. At t=0, a drain in the bottom of the tank with an area of 10cm^2 is opened allowing water to flow out of the tank. The depth of water in the tank at time t\geq 0is
a.Check that d (0)=100, as specified.
b.What is an appropriate domain for d?
c.At what time is the tank first empty?
A woman walks due west on the deck of a ship at 2 mi/h. The ship is moving north at a speed of 15 mi/h. Find the speed and direction of the woman relative to the surface of the water. (Round your answers to one decimal place.)
Assume 450,000 people line up on the streets to see the Macy's Thanksgiving Parade in 2010. If attendance is expected to increase 30%, what will be the number of people lined up on the street to see the 2011 parade?
The PowerPoint slideshow must be professionally prepared and include narration. (PowerPoint presentations should not be larger than 10MB.)
please be very careful with writing down all calculations step by step and also explain all conclusions and results
The profit of each bookcase is 40$ and each desk is 75$. How many of each product should be made each month in order to maximize profit.
What is the probability of getting the indicated result
David helped his father stock the pond with baby catfish and blue gill. They put in a total of 75 fish. If the number of blue gill was doubled and the number of catfish tripled, there would be 175 fish in the pond. How many catfish were put in the..
Plot the function and find the Laplace transform of a periodic function with a period T = 2a, definedasf(t) = t(H(t) - H(t - a)) + (2a - t)(H(t - a) - H(t - 2a)) t ∈ [0, 2a)Here a is a positive real number
an apple orchard has 60 trees planted per hectare and the average yield is 500 apples per tree. For each additional tree planted per hactare, the average yield per tree is reduced by approximately five apples. How many trees per hectare will give ..
Student life does not generally afford a great deal of free time to pursue your personal interests; however, at one point, you may have considered turning a personal interest or hobby into an official enterprise. Today, you have finally decided to..
Determine the truth value of each statement - Which statements below are true for all x ∈ R?
Use the quadratic formula to find out how long after the rocket is launched it will hit the ground. Round to the nearest tenth of a second.
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