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Now we take up combinations and its related concepts. Combinations are defined as each of the groups or selections which can be made by taking some or all of the
Rule 1 The logarithm of 1 to any base is 0. Proof We know that any number raised to zero equals 1. That is, a 0 = 1, where "a" takes any value. Therefore, the loga
Define an ordered rooted tree. Cite any two applications of the tree structure, also illustrate using an example each the purpose of the usage. Ans: A tree is a graph like t
xdy/dx=dy/dx y
The Definite Integral Area under a Curve If there exists an irregularly shaped curve, y = f(x) then there is no formula to find out
The law of cosines can only be applied to acute triangles. Is this true or false?
If the p th , q th & r th term of an AP is x, y and z respectively, show that x(q-r) + y(r-p) + z(p-q) = 0 Ans: p th term ⇒ x = A + (p-1) D q th term ⇒ y = A + (
-5+-6=
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.
Trace the curve (x/a)^3/2+(y/b)^2/3=1
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