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number theory trivia
A group of 5 people are going to meet weekly at the library for 4 weeks. Every week, two people are selected at random to speak. Every person may speak in multiple weeks, but no pa
How the property AM>or = GM used to get minimum value of the function......e,g for what condition of a and b does minimum value of a tan^2 x + b cot^2 x equals maximum value of a
Consider the temperature distribution in a 1D flat plate, insulated at x = L and exposed to convective heat transfer at x = 0. On the axes below, sketch what the distribution looks
Area with Parametric Equations In this section we will find out a formula for ascertaining the area under a parametric curve specified by the parametric equations, x = f (t)
Some Definitions of e 1. 2. e is the unique +ve number for which 3. The second one is the significant one for us since that limit is exactly the limit
Find the slope of the line tangent to the graph of f(x)= 3-2ln(2x^2+4) at the point (4, F(4))
If 7 cosec?-3cot? = 7, prove that 7cot? - 3cosec? = 3. Ans: 7 Cosec?-2Cot?=7 P.T 7Cot? - 3 Cosec?=3 7 Cosec?-3Cot?=7 ⇒7Cosec?-7=3Cot? ⇒7(Cosec?-1)=3Cot? ⇒7(C
writing sin 3 a.cos 3 a = sin 3 a.cos 2 a.cosa = sin 3 a.(1-sin 2 a).cosa put sin a as then cos a da = dt integral(t 3 (1-t 2 ).dt = integral of t 3 - t 5 dt = t 4 /4-t 6 /6
Uses of derivative in daily life with examples.
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