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Start by looking for intercepts.x=0, y= 5. Therefore the curve crosses the y axis at y=5y=0, x= 5/4these are the only two intercepts. Now look for asymptotes.3. at x= 1, y becomes undefined, looking at ei...

Answer : 26-7iMethod : Expanding the brackets will result in the sum, 6 -15i + 8i - 20i²by assessing this you can see that you can evaluate -15i + 8i to be equal to -7i which is the imaginary p...

Let's run through an example: proving by induction that n^2 = 1 + 3 + ... + (2n-1) for all integers n>0. Remember that when asked to use induction to prove a statement, you first need to show that the ...

The tangent to the curve is a straight line and will hence have the form f(x) = m * x + c, where m is the gradient of the tangent line and c is the y-intercept of the tangent line.
The gradient of th...

Given: A = [a -5; 2 a+4]. 1) First find the determinant of A using the known formula => det A = a²+ 4a + 10. A singular matrix is ...