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Prove that Prim's algorithm produces a minimum spanning tree of a connected weighted graph. Ans: Suppose G be a connected, weighted graph. At each iteration of Prim's algorithm
( 1/2)2 x 1/5+1/6=
Consider a person's decision problem in trying to decide how many children to have. Although she cares about children and would like to have as many as possible, she knows that chi
There may be more than one independent variable which determines the value of y. The dimension of a function is determined by the number of independent variables in the
how do you find the perimeter of an equalateral triangle
Find out the length of y = ln(sec x ) between 0 x π/4. Solution In this example we'll need to use the first ds as the function is in the form y = f (x). So, let us g
Lucas purchased his motorcycle for $5,875.98 and sold it for $7,777.77. What was his profit? To ?nd out the pro?t, you must subtract what Lucas paid for the motorcycle from the
Find out all the critical points for the function. Solution Following is the derivative for this function. Now, this looks unpleasant, though along with a little fa
Minima, Maxima and points of inflexion a) Test for relative maximum Consider the given function of x whose graph is presented by the figure given below
Solve sin (3t ) = 2 . Solution This example is designed to remind you of certain properties about sine and cosine. Recall that -1 ≤ sin (θ ) ≤ 1 and -1 ≤ cos(θ ) ≤ 1 . Th
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