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Consider a right angled triangle. Call one of the angles (not the right angle) in this triangle x. We can do this as we are told x is acute. The side opposite to x label O, the side adjacent to x label A,...

Let us begin by simplifying the expression:(n+3)² - n² = (n+3)(n+3) - n²= n² + 6n + 9 - n² (expanded brackets)= 6n + 9 (collected like terms)= 3(2n+3...

Where the graph intersects the x-axis, x²+2kx+5 must be equal to zero. Thus we can answer the equivalent question: For what k does x²+2kx+5 = 0 not have a solution?This is now a simp...

When you see a complicated product, split it into the form u.v', where u and v' are algebraic expressions such as x^2. You can then use the formula: uv'=uv-integral(vu') which you would take between an...

The equation is 2πr.  That is 2 x pi x the radius (not the diameter!)