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To differentiate xcos(2x), you first have to use the product rule, because this function is two functions (x and cos(2x) multiplied togetherNow you have x*(cos(2x))'+cos(2x)To differentiate cos(2x) you ha...

 1 + (1 + (1 + (1 + (1 + ...)^-1)^-1)^-1)^-1

This pattern goes infinitely.

The first step to this question, is to observe. Observe the patter...

Problem Tackles: Counting Probabilities, Non-replacement probability problems. Keeping track of events
Total number of socks: 5 + 3 = 8Scenarios: Could pick two white socks or two black socksP(Pickin...

First separate the variables so that the left side of the equation is an expression only in terms of y and the right side only in terms of x.exp(y)dy=sin2x dxSecondly both sides have to be integrated to o...

x² + 2x +1=0x² + x + x + 1 = 0x(x+1) + 1(x+1) = 0 ... factorise out to leave cmmon factorsfactorise out the common brackets...(x+1)(x+1) = 0 If two things multiplied together craete ...