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Maths
A Level

Express (3 + 13x - 6x^2)/(2x-3) in the form Ax + B + C/(2x - 3)

The answer is -3x + 2 + 9/(2x-3). That is A = -3, B = 2 and C = 9.

I will use the whiteboard during my interview to explain the working.

Answered by Sam M. Maths tutor
4732 Views

Using the substitution u = 2 + √(2x + 1), or other suitable substitutions, find the exact value of 4 0 1 ∫ 2 (2 1) +√ +x dx giving your answer in the form A + 2ln B, where A is an integer and B is a positive constant

I will attach a file with the solution during the interview because it is difficult to type the solution in here.

Answered by Georgica B. Maths tutor
9008 Views

How does a hypothesis test work?

A hypothesis test can be thought of as being somewhat similar to a court case. In a court case, we want to find out whether someone is either guilty, or not guilty, so we assume that they are not guilty, ...

Answered by Denis A. Maths tutor
3141 Views

How can you find out if two lines expressed in their vector form intersect?

Let the lines be:

r1 = (a, b, c) + t(d, e, f)

r2 = (g, h, i) + s(j, k, l)

Since t and s above are variables and the rest of the letters are constants, the only w...

Answered by Yordan I. Maths tutor
3626 Views

How to Integrate ln(x)?

Integrating this expression is a simple trick. We use integration by parts. For this we need a function we can integrate and a function we can differentiate. We know how to differentiate ln(x) which is 1/...

Answered by Jordan R. Maths tutor
5678 Views

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