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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
In this section we will see the first method which can be used to find an exact solution to a nonhomogeneous differential equation. y′′ + p (t ) y′ + q (t ) y = g (t) One of
It is known that a radioactive material decays at a rate proportional to the amount present.If after a period of 12 years,a 2g piece of radium weighs 1.99g.How long will it be befo
Show that for odd positive integer to be a perfect square, it should be of the form 8k +1. Let a=2m+1 Ans: Squaring both sides we get a2 = 4m (m +1) + 1 ∴ product of two
Since we are going to be working almost exclusively along with systems of equations wherein the number of unknowns equals the number of equations we will confine our review to thes
A boy covered half of distance at 20km/hr and rest at 40kmlhr. calculate his average speed.
a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.find the value of k
If a^n+1 + b^n+1/a^n + b^n is the arithmetic mean of a and b then find n. Answer:Arithmatic mean of a,b is =(a+b)/2 from the problem (a+b)/2=(a^n+1 +b ^n+1)/(a^n+b^n) then (a+
Exercise 12c question number 24
Pre-operational Stage : This period of a child's cognitive development usually begins at the age of 2, and lasts until about the age of 6. Thus, it usually coincides with the pre
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