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Prove that a simple graph is connected if and only if it has a spanning tree. Ans: First assume that a simple graph G has a spanning tree T. T consists of every node of G.
Let D(subscript12) = ({x,y : x^2 = e ; y^6 = e ; xy =(y^-1) x}) a) Which of the following subsets are subgroups of D(subscript12) ? Justify your answer. i) {x,y,xy,y^2,y^3,e}
Introduction: "Mathematical literacy is an individual's capacity to identify and understand the role that mathematics plays in the world, to make well-founded judgments, and t
In figure, XP and XQ are tangents from X to the circle with centre O. R is a point on the circle. Prove that XA+AR=XB+BR Ans: Since the length of tangents from externa
For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1000 and p is the unit price in dollars, find the equilibrium quantity and the equ
add 1 and 20 over 40 with 2 and 30 over 50
Definition : A function f ( x ) is called differentiable at x = a if f ′ ( x ) exists & f ( x ) is called differentiable onto an interval if the derivative present for each of the
activity 6; it''s your turned
1. 10 -2 is equal to 2. If 3n = 27, what is the value of (4n) + 1 3. What is 1/100 of 10000? 4. The formula C=5/9 x (F-32) converts Centigrade temperature from Fa
Probability -Probability is an extremely popular concept in business management. Since it covers the risks such may be included in certain business situations. This is a fact
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