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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...

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We begin solving this problem by finding the gradient of the tangent line at H, which is equal to dy/dx.

In this case, our curve has equations  x = 3sinθ and ...

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When asked to exrpess something in partial fractions, we first compare the power of the numerator to the power of the denominator.

In our case we have that th...