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find the maximum possible area of a trapezoid inscribed in a semicircle of radius 1.
The personal savings of the Young Saver Club were normally distributed with a mean of $775 and a standard deviation of $88
Jerry has a total of 23 marbles. The marbles are either blue or green. He has three more blue marbles than green marbles. How many green marbles does he have?
is it possible to write the volume of that box as a function of the size of the cut? if yes what is the domain of the volume function?
determine the stability of the critical point for both the linearized and nonlinear system using the linearization process (that is, explicitly writed own the linearized system at (1,1) and use the eigen values of the corresponding coefficient mat..
Fit a second order Newton's interpolating polynomial to estimate log 10 using the data x=8, 9, and 11. Complete the true percentage relative error.
powdered drink mix is stored in a cylindrical container that has a radius of 6 centimeters and a height of 14 centimeters. Which is closest to the maximum number of cubic centimeters the container will hold?
Prove the identity (n~r) (r~k) = (n~k) ((n-k)~(r-k)), whenever n, r, and k are nonnegative integers with r less than/equal to n and k less than/equal to r:
You are told that a line is tangent to the circle centred at (3,2) with radius 2. If the tangent line and circle intersect at the point (4, 2+ sqrt(3)) find the equation of the tangent.
Find the volume in cubic centimeters. If each dimension (length, width and height is doubled, what happens to the volume of the room? Show your work.
Find the expected value E(X), the varianceVar(X) and the standard deviation σ ( X ) for each of the density functions.
Use the graph of f(x)=x^2 to match the function to its corresponding graph. In words describe transformation that occurs (ex: The graph of f(x) is shifted 6 units to the left).
Create your own radical equation. Describe in complete sentences and demonstrate the process in finding its solution(s).
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