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Water is leaking out of an inverted conical tank at a rate of 6000 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 7 m and the diameter at the top is 6 m. If the water level is rising at a rate of 18 cm/min when the height of the water is 2.5 m, find the rate at which water is being pumped into the tank.
The book cost (in dollars) for one semester's books are given below for a sample of five college students. Calculate the sample variance of the book costs.
Question babsed on wff-formation rules. Let L be a language whose wff-formation rules are the following..
At the [I.CI level of significance, test the claim that the mean eight of women with Turner's syndrome is less than that of the general female population]
Find the first four terms in each of two linearly independent solutions of the given differential equation (solve by means of a power series about the given point x0 ).
Use the Generalized Power Rule to find the derivative of the function.
Alzheimer's disease, a neurological disease, is a very costly public health problem. As the population ages, the incidence of Alzheimer's will increase. The incidence of Alzheimer's will nearly quadruple in the next 40 years. Finding a way to delay t..
Write each of the following expressions in correctly parenthesized text using one line (also called calculator notation or inline notation)
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
Reals with the "finite complement topology:" U open in X if U - X is finite or is all of X. Why compact? Why not regular? Reals with the "countable complement topology:" U open in X if X - U is countable or is all of X. Why not compact? Why not regul..
Search the internet to find a current article (published within the last two weeks) that provides statistical information relating to public policy and which you think is misleading. Explain why you feel the statistical information is misleading. ..
The resale value of a certain industrial machine decreases at a rate that depends on its age. When the machine is t years old, the rate at which its value is changing is -960e^-t/5 dollars per year.
Given the vector field F=3yi + (5-2x)j + ((z^2)-2)k find the surface integral of the normal component of curl F over the open hemispherical surface (x^2)+(y^2)+(z^2)=4 above the xy plane
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