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Maths
A Level

Solve the complex equation z^3 + 32 + 32i(sqrt(3)) = 0

First thing to observe here, is that this equation is somewhat different to what you would find normally. This is a complex equation. How can you tell? The third term, ie 32i(sqrt(3)) contains the symbol ...

Answered by Savvas P. Maths tutor
5560 Views

Integrate (3x^2+2x^-1) with respect to x in the range of K to 3 and explain why K cannot be 0

Integrated: [x^3+2ln(x)] Sub in 3 and K: [3^3+2ln(3)-k^3-2ln(k)]Simplify: 27-K+2ln(3/K)—> K cannot = 0 otherwise ln(3/k) would have an undefined value, as would ln(k)

Answered by Daniel H. Maths tutor
2191 Views

Find the coefficient of the x^2 term in in the expansion of (1+x)^4.

To get an example of what this question is asking: the expansion of (1+x)^2 can be found by distributing and gives 1+2x+x^2. The coefficient of the x^2 term here would be 1, and for the x^1 term it would ...

Answered by Joshua T. Maths tutor
2229 Views

how find dy/dx of parametric equations.

We start with parametric equations of x=2t+3 and y=3t^2+3t+2.
To find dy/dx, we need to work out either (dy/dt)/(dx/dt) or (dy/dt)*(dt/dx). This makes the dt's cancel each other out, allowing us to ...

Answered by Samuel W. Maths tutor
2593 Views

Express (5x + 3)/((2x - 3)(x + 2)) in partial fractions.

To start, we understand that partial fractions are used so that we can more easily integrate a function. When you add two fractions together, you consider both denominators and find the LCM ; partial frac...

Answered by Isabelle J. Maths tutor
5961 Views

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