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Let a0, a1 ::: be the series recursively defined by a0 = 1, and an = 3 + an-1 for n ≥ 1.
(a) Compute a1, a2, a3 and a4.
(b) Compute a formula for an, n ≥ 0.
(c) Use induction to show that your formula is right.
Substitution Rule Mostly integrals are fairly simple and most of the substitutions are quite simple. The problems arise in correctly getting the integral set up for the substi
whats 2x2
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Logarithmic Differentiation : There is one final topic to discuss in this section. Taking derivatives of some complicated functions can be simplified by using logarithms. It i
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A and B can finish a piece of work in 16 days and 12 days respectively.A started a work and worked at it for 2 days.He was then joined by B.Find the total time taken to finish the
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
f(x)=sin(x),All x belongs to [p/6, p]
5 2 ----- - ----- x-1 x+1 -------------------- x 1 ----- + ----- x-1 x+1
if P is a point in the interior of a triangles ABC,prove that AB>BC+CA
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