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Suppose we have a hemispherical tank of radius 10m. It is filled to a depth of 3m. The density of the fluid is 5kg/m3. Calculate the work required to pump the fluid to a height of 12m.
A wine producer has three types of wines it bottles and sells in the US. The wines are bottled under the names of Good, Better and Terrific. Each of the wines are mixed with different combination of grapes (Red, White, Yellow).
cylender find the shaded area diameter small inside cylender is 1 and the height is 5 the shadded area the radius is 3 and the height 5 what is the shaded area.
Prove that the upper sum U(f, P) for a partition of [a, b] and a bounded function f on [a, b] is the least upper bound of the set of all Riemann sums for f and P.
A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 1 foot less than the length of the ladder. Find the length of the ladder if the distance from the bottom of the ladder to the building is 3..
Sharon needs 64 credits to graduate fro her community college. So far she has earned 24 credits. What percent of the required credits does she have?
Using MatLab, compute H^-1H for various n between 5 and 15. Describe the results and comment on the difference between the MatLab output and what is expected the answer to be
Find the maximum rate of change of the function f(x,y,z) = (x^2 + y^2 + z^2)^0.5 at the point P(1,2,-2) and the direction in which it occurs.
Find the absolute maximum and absolute minimum values of the function f(x)= ((x^3)/3)-5x^(2)+24x on the interval[-3,10]
To test this claim, a psychologist administers the WISC (an IQ score for children) to a group of students before and after completing the training program. Analyze the data to test the entrepreneur's claim
A person's fortune increases at a rate to the square of they're present wealth. If the person had one million dollars a year ago and has two million today then how much will the person be worth in six months?
Assume that the i component of the derivative of a vector function r(t) is 0 for all t in the domain of the function. What does this imply about the graph of r?
The following eight numbers can be grouped into four pairs such that the higher of each pair divided by the lower is a number of particular mathematical significance (at least to 4 decimal places).
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