# Basic Properties & Facts

May 28th, 2015
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Properties of Inequalities -If a b then a c b c and a− c b− c Properties of Absolute Value Distance Formula

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Algebra class exercise 2Q1.The 17th term of an arithmetic progression is 5. If the total number of terms of the progression is 33 find the sum of all the terms of the progressionQ2.A black monkey is climbing a 200m tall building. It starts from the ground, climbs 4m in the1st second, slips 2m in the 2nd second, climbs 6m in the 3rd second, then slips 2m in the fourth, climbs 8m in the 5th second, slips in the next and so on. Find when would it reach the top of the building?a. 25th secb. 26th secc. 27th secd. 30th secQ3.If f(t) = 2t2 + 2/t2 + 5/t + 5t, what is f(1/t)?Q4.If f(x) = xx, find, in terms of f(x), the value of [f(-x)]2Q5.What is f(2), if f (x) = x3 + x2 + x + 1?Q6.f(0, y + 2) = y + 5f(x + 5, y) = f (x, y-1) find the value of f (5, 6)Q7 f(a, b) = a2 + b3, g (a, b) = a + b Then what is the value of f (3, g (3, 4))Q8.f(x) = x/ (x + 1)fn (x) = (n 1) fn-1 (x) n > 1find the value of f4 (1).Q9.Pakistan is planning to conduct a missile defense test. The path of the missile, which has to be targeted, is a second-degree polynomial function of time, in which constant term is negligible. The path of the interceptor, which is

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