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In terms of understanding the question, we are asked to look for a common rule that would help us find any term, or member, of the sequence in the question, no matter how big. The "nth" bit they...

x² -4x+4>0 => (x-2)(x-2)>0. We can illustrate this line on a graph showing a quadratic whose vertex is at (2,0). Therefore, the answer to our inequality is x<2,x>2 (but x does no...

This question tests fundamental understanding of integration and checks that the student is not simply memorizing the simple examples for the test. Most students will remember that the integral of 1/x is ...

As the coefficient of x^2 is not 1, we think of this equation as ax^2 +bx + c. When the coefficient of x^2 is not 1, then we need to firstly multiply the first and last numbers together (8 and -3) which g...

y = x^x, by taking logs:ln(y) = ln(x^x )By log laws:ln(y) = xln(x)From implicit differentiation; d/dx = y'*d/dy, so:d/dx[ln(y)] = y'*d/dy[ln(y)] = y' * 1/yFrom the product rule; d/dx[...