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a) Specify that a tree has at least 2 vertices of degree 1. b) What is the largest number of vertices in a graph with 35 edges if all vertices are of degree at least 3 ?
c) Set up a recurrence for the number of n digit natural numbers with even number of zeros.
450 students. if there are 50 more boys than girls, how many boys and girls are there?
Let a = 5200 and b = 1320. (a) If a is the dividend and b is the divisor, determine the quotient q and remainder r. (b) Use the Euclidean Algorithm to find gcd(a; b). (c)
Find the x and y intercepts for the following equations: 3y=3x -y=-x-4 2x+3y=6 y=5
(a) Specify that the sum of the degrees of all vertices of a graph is double the number of edges in the graph. (b) Let G be a non directed gra
A real estate agent makes a 1.5% commission on her sales. What is her commission if she sells a $359,000 house? Multiply $359,000 by the decimal equivalent of 1.5% (0.015) to ?
The probability that a leap year will have 53 sunday is ? and how please explain it ? (a)1/7 (b) 2/7 (c) 5/7 (d)6/7 Sol) A leap year has 366 days, therefore 52 weeks i.e
Find the sum-of-products expression for subsequent function, F (x,y,z) = y + Z‾ Ans: The sum of the product expression for the following function f is DNF (disjunc
A mortgage lender seeks to maximize the expected value of its portfolio. The portfolio, of course, is the sum of all of the mortgages in it, so no generality is lost by examining t
Find the circumference of a circle whose area is 16 times the area of the circle with diameter 7cm (Ans: 88cm) Ans: Π R 2 = 16 Π r 2 R 2 = 16 r 2
Definition of inverse functions : Given two one-to-one functions f ( x ) and g ( x ) if ( f o g ) ( x ) = x AND ( g o f ) ( x ) = x then we say that f ( x ) & g ( x ) are i
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