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QUADRATIC EQUATIONS: For the things of this world cannot be made known without a knowledge of mathematics.
Solve by factorization
a. 4x2 - 4a2x + (a4 - b4) = 0
Ans: 4x2 - 4a2x + (a4-b4) = 0.
4x2 - [2(a2 + b2) + 2 (a2 - b2)] x + (a2 - b2) (a2 + b2) = 0.
⇒ 2x[2x-(a2 + b2)] - (a2 - b2) [2x - (a2 + b2) = 0.
⇒ x = a2 + b2/2 x = a2 - b2/2
Evaluate the following integral. ∫√(x 2 +4x+5) dx Solution: Remind from the Trig Substitution section that to do a trig substitution here we first required to complete t
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
examples of plane figures
DEVELOPING AN UNDERSTANIDNG OF MULTIPLICATION : The most important aspect of knowing multiplication is to understand what it means and where it is applied. It needs to be first i
If the sides angles of a triangle ABC vary in such a way that it''s circum - radius remain constant. Prove that, da/cos A +db/cos B+dc/cos C=0
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a) Write a summary on Tower of Hanoi Problem. How can it be solved using recursion ? b) Amit goes to a grocery shop and purchases grocery for Rs. 23.
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