Question We have 100 lamps, numbered 1, 2, ..., 100. Initially they are all off. 1) we press the switches… Read More
Answer Here it is : Let A(n) denote the nth term. 1 x 1 = 1 = A (1) 1… Read More
Answer 8 +sqrt of -20 divided by -4. sqrt ( -1 ) = i [ 8 +sqrt of -20 ]… Read More
Answer A base 10 analogy will be helpful. In base 10 we start with 10^0, 10^1 etc for the "values… Read More
Question Solve the equation(5/12)y=3/4 Answer Firstly, LHS = Left Hand Side. RHS = Right Hand Side. (5/12)y = 3/4 So,… Read More
Answer I'll show you a slightly different way. I am assuming you know basic algebra. See, 5b < -10 5b… Read More
Question 1) Show that if p >=5 is a prime number, then p^2 + 2 is composite (hint: p takes… Read More
Question Find all numbers c between a and b for which: (f(b)-f(a))/(b-a) = f'(c) The Problem: f(x) = (x)arcsin(x) on… Read More
Answer The trick is this. SQUARE THE EQUATION. Note that : [{2 + (3^1/2)}^1/2]^x = [{2 + (3^1/2)}^(x/2)] We get… Read More
Question Two circles (⊙O and ⊙O', the radius of ⊙O > the radius of ⊙O') intersect at Point A and… Read More