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writing sin3a.cos3a = sin3a.cos2a.cosa= sin3a.(1-sin2a).cosaput sin a as then cos a da = dt integral(t3(1-t2).dt= integral of t3- t5 dt= t4/4-t6/6 + c where t = sina
If I divide any number do I get the manservant 2 times
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 + (
Solve 6 sin ( x/2)= 1 on [-20,30] Solution Let's first work out calculator of the way since that isn't where the difference comes into play. sin( x/2)= 1/6 ⇒x/2= sin
Expand (1- 1/2x -x^2)^9
The midpoint of the line joining (2a, 4) and (-2, 3b) is (1, 2a +1).Find the values of a & b. (Ans: a = 2, b = 2) Ans : A(2a, 4) P(1, 2a + 1) B(-2,
Fenrir the wolf is bound by a magical chain. The chain is an endless piece madr up of 30 links.Originally forged by 6 pieces , each made up of 5 links. It costs 2 silver coins to c
Let's start things by searching for a mixing problem. Previously we saw these were back in the first order section. In those problems we had a tank of liquid with several kinds of
Q. Describe Real numbers? Ans. There are a few different ways to describe real numbers. Without going into any of the very technical definitions used by mathematicians, I'
Solve 2 ln (√x) - ln (1 - x ) = 2 . Solution: Firstly get the two logarithms combined in a single logarithm. 2 ln (√x) - ln (x - l) = 2 ln ((√x) 2 ) ln (1 - x ) = 2
One method of calculating the height of an object is to place a mirror on the ground and then position yourself so that the top of the object will be seen in the mirror. How high i
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