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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).) Prove that a nonempty graph G is randomly Eulerian from x iff G has an Euler circuit and x is contained in every cycle of G.
Compare this to the actual value of the derivative and compute the percent error for each approximation
Find the predictive value of a positive test.
Find whether the given information results in one triangle.
Find p-value and interpret its meaning
Probability amd Mutually Exclusive Events, A fair dice is rolled. What is the probability of rolling an odd number OR a number less than 3?
Explain Probability of drawing apples from a sample, There are 8 spoiled apples in a container of 27 apples set for inspection. A sample is drawn, for 4 apples at random
Either use the p-value approach to hypothesis testing or use the significance level approach with α = .05.
Using a suitable change of variables, find the solution of (1/4)y''-((4z 2 +3)/(4z))y'+(z 2 +1)y=z 4 e (2z) , y(0)=y(1)=0.
A thin plate occupies the region x^2/4 + y^2/9 is less than or equal to 1. If the temerature of the plate is T(x,y)= x^2 + y^2 - 5y + 5, find the coldest and hottest points on the plate.
What was the smallest possible number of people? What are all possible numbers of people?
Show that these topologies are the same and What is the resulting space and identify the familiar quotient space given by this relation and then show precisely that the quotient topology on this space is the same as the usual one.
The Marginal profit function.
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