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A trough is 10ft. long and its ends have the shape of isosceles triangles that are 3ft. across at the top and have a height of 1ft. If the trough is being filled w water at a rate of 12ft3/min, haw fast is the water level rising when the water is 6 inches deep?
A covering map is a map p: E -> B with the property that each point b, an element of B, has a neighborhood U such that p^-1(U) is a disjoint union of open sets V_alpha
Find the absolute minimum and maximum values of the function f(x,y) = 1+4x-5y on the closed triangular region with the vertices (0,0),(3,0), and (0,3).
Describe two main differences between classical and empirical probabilities. Gather coins you find around your home or in your pocket or purse. You will need an even number of coins (any denomination) between 16 and 30. You do not need more than t..
Describe the object, include details on how you went about performing the calculation, and determine the slope. Be sure to include the unit of measurement (inches, feet, yards, etc.).
What is the probability that a green marble was chosen?
Fnd two linearly independent power series solutions of the given differential equation. Determine the radius of convergence of each series, and identify the general solution in terms of familiar elementary functions.
what will happen to the volume of a cube with a side measurement of 6cm if its length is double? note the cube retain its shape.
A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 1 in every one thousand. State the null hypothesis and the alternative hypothesis for a test of significance.
Let {f_n} be a sequence of measurable functions on [0,1] with |f_n (x)| 0 a.e.x
For what values of a does the following series converge?
Solve the given integral by the method of partial fractions: (S stands for the integration sign) S sec^2(x) / (tan^3(x) - tan^2(x)) dx
if a rectangle is redrawn so that its area remains constant but its perimeter increases, what happens to the shape of the rectangle?
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