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A grain silo consists of a cylindrical main section and a hemispherical roof. If the total volume of the silo (including the part inside the roof section) is 16,000 ft3 and the cylindrical part is 30 ft tall, what is the radius of the silo?
I get the critical points are(0,0) and(-2^1/5, 4^1/5). Then I get det(0,0)=2 and det(-2^1/5, 4^1/5)=-10, so index of the system is -8 and the index of periodic orbit is 1, so there's no periodic orbit.
Probability Let A and B be two mutually exclusive events of a sample space S. If P(A) = 0.6 and P(B) = 0.2, find each of the following probabilities of
Expected Value : key informaiton, After careful testing and analysis, an oil company is considering drilling in two different sites. It is estimated that site A will net $20 million if successful (probability .4) and loose $3 million if not
The Springfield Kings (a professional basketball team), has won 12 of its last 20 games and is expected to continue winning at the same percentage rate
Create an expression for your classmates to solve that uses scientific notation and at least one of the rules for exponents you have describe.
Linear Fractional Transformation is a Mapping f: C --> C A fixed point of a transformation is a point z_0 so that f(z_0) = z_0. Show that every linear fractional transformation
You are managing a small assembly operation building toy cars. Due to increased demand, you need to hire an employee in addition to the two that are already building this line of toy assemblies. For the questions below, show all your work in deriv..
Recall that a graph G is randomly Eulerian from a vertex x if and maximal trail starting at x in an Euler circuit. (If T = xx_1 ... x_l, then T is a maximal trail starting at x iff x_l is an isolated vertex in G - E(T).)
For what values of a in R (real numbers) is the function (1+x^2)^a in L^2. Let L^2 be like in Lebesgue integration where the set of all measurable functions that are square-integrable forms a Hilbert space, the so-called L2 space.
The first or second derivative test to show that the critical value is a relative maxima or minima.
Use the Laplace transform to solve the given system of differential equations.(d^2 x)/(dt^2 )+(d^2 y)/(dt^2 )=t^(2 ) (d^2 x)/(dt^2 )-(d^2 y)/(dt^2 )=4t x(0)=8 x^' (0)=0 y(0)=0 y^' (0)
If an object is propelled upward from a height of 96 feet at an initial velocity of 80 feet per sec, then its height after t seconds is given by the equation h=-16t2+80t+96 where h is in feet. after how many seconds will the object reach a height ..
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