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A tank holds liquid waste comprised mostly opf water. It is vented to the atmosphere. the tank has a diameter of 50 feet and a total depth of 30 feet, it is only half full. At a poin t five feet above the bottom of the tank, what is the approximate pressure?
Prove that there is a positive integer that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive?
Suppose that f is continuous on [a,b], f(z) 0. Set z = sup{x: f (t)
What is the range value of the ages of children in the skate park?
What is the ant's linear velocity? Include appropriate units in your answer.
A popular flashlight that uses two D-size batteries was selected, and several of the same models were purchased to test the "continuous-use life" of D batteries. As fresh batteries were installed, each flashlight was turned on and the time noted.
An equilateral triangle with sides of length 10 is inscribed in a circle. Find the distance from the center of the circle to any side of the triangle.
What does the average cost per board tend to as production increases?
Imagine yourself at a fair playing one of the midway games. Pick a game and calculate the expected value and post your results along with how you calculated them.
Solve the following linear, first-order differential equations and ensure that the initial conditions are satisfied. Show whether or not the steady-state solutions are stable.
The bank charges interest of 4.5% interest per year compounded monthly for the first 10 years, then 5.6% interest per year compounded monthly the remaining years. if the loan has to be paid back in 20 years, what must their monthly payments be for..
A bacteria culture starts with 7 bacteria which multiply simultaneously every three house. If the first generation is born fromt he initial group at 12 midnight
In each of the following parts, you should simplify your answers where it is appropriate to do so. Write down the derivative of each of the functions
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