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Solve the inequality |x - 1| + |x - 2|≤ 3.
Working Rule: First of all measure the expression to zero whose modulus happens in the given inequation and from this search the values of x. These values of x will separate the interval (-∞, ∞) into several parts. Then solve the in equation in all these parts distinguee.
A conical vessel of radius 6cm and height 8cm is completely filled with water. A sphere is lowered into the water and its size is such that when it touches the sides, it is just im
In the previous section we looked at the method of undetermined coefficients for getting a particular solution to p (t) y′′ + q (t) y′ + r (t) y = g (t) .....................
A screening test for a newly discovered disease is being evaluated. In order to determine the effectiveness of the new test, it was administered to 900 workers; 150 of the individu
mulply # fraction
area of r=asin3x
Case 1: Suppose we have two terms 7ab and 3ab. When we multiply these two terms, we get 7ab x 3ab = (7 x 3) a 1 + 1 . b 1 + 1 ( Therefore, x m . x n = x m +
write down all the factors of 36
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
Finding Absolute Extrema : Now it's time to see our first major application of derivatives. Specified a continuous function, f(x), on an interval [a,b] we desire to find out the
The adjoining figure shows the cross-section of a railway tunnel. The radius of the tunnel is 3.5m (i.e., OA=3.5m) and ∠AOB=90 o . Calculate : i. the height of the
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