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An open box is created using 24 cm by 24 cm piece of metal by cutting equal squares with sides of x cm out of each of the corners and folding up the sides. a) find the volume of the box in terms of x b) for what x is the volume of the box maximized plz show the work, i don't want to be...

Given the following finite sum 1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+....+1/(n(n+1)) a) Find the first 5 partial sums b) Make a conjecture for a formula for the sum of the first n terms c) Use mathematical induction to prove your formula THANKS VERY MUCH IN ADVANCE!!! : )