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First, we must differentiate the function. To do this we must let the contents of the bracket be equal to 'u'. We now can produce two equations, one by subbing in 'u' into the function f(x) to give us u^5...

First, you will need to make one of the variables x or y have the same number in front. To do this just multiply the equation by a constant which will give you lets say the x value in this equation with t...

First we consider how to represent an odd number. We know that any even number can be represented as 2k for some integer k since, by definition, all even numbers are multiples of 2. We also know that all ...

P(win 2 out of 2 games) = P(win first game and win second game) = P(win first game)^2. So want to find the probability of winning a game.To win, either we need A odd and B even or we need A even and B odd...

Break this down into two parts.
a. Multiply out the 1st bracket, (2x+3)^2: This goes to (2x+3)(2x+3) which is equal to 4x^2 + 9 +6x+6x . Collect the like terms to get 4x^2 +12x +9.
b. Multiply...