What is the simplest way of geometrically demonstrating the combinatorics relationship n+1 choose 2 is equal to n(n+1)/2 , in another form C(n+1,2)=n(n+1)/2
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How can you prove that, f'(α) = 0 is not a necessary condition to exist a minimum point at x = α on the graph of y = f(x) ,where f'(x) is the derivative of f(x).
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How can you compare the following ways of defining a tangent line to a curve at a point P(α,β) with examples? 1)A straight line meet the curve at the point P with the curve appearing in only one side of the ...
Second derivative being a positive value at a point is not a necessary and sufficient condition to exist a local minimum at that particular point and the proof of this was already asked in an advanced level exam. If so ...
In general can you use the standard form y – β = m(x – α) of a straight line of gradient m , going through a point (α,β) in the case of finding equation of a tangent line drawn to ...
Is this question correct or else what should be the correct way of asking the following question? Find the position of centre of gravity of a cone of height h and base radius r
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As you know we teach our students, sum of rational numbers is also a rational number as a property of rational numbers when we introduce real numbers in the beginning of advanced level mathematics. But though the constant e is ...
1)What are the conditions required to be satisfied to exist the composite function f(g(x))? 2)Do we need range of g to be a subset of domain of f or is intersection of mentioned range and domain sufficient and what is the ...