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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...
Step 1:
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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