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How can I best prepare for the ELAT?

Get organised!The ELAT is a great opportunity to demonstrate your skills as a student of literature; this is your chance to show off what makes you unique as a writer and thinker. The rang...

NW
Answered by Niamh W. ELAT tutor
8901 Views

By use of calculus, show that x − ln(1 + x) is positive for all positive x.

Let f be a function defined on the positive real axis with values in R, such that f(x) = x - ln(1+x). Differentiating this function, we obtain, f'(x) = (x - ln(1+x))' = x' - ln'(1+x) = 1 - 1/(1+x). Sin...

AI
Answered by Andreea I. STEP tutor
13129 Views

How many distinct real roots does the equation x^3 − 30x^2 + 108x − 104 = 0 have?

We can see that 104 = 2^3 * 13 = 2226, 30 = 2 + 2 + 26, and 108 = 22 + 226 + 2*26, so the coefficients agree with the Vieta's formulas, so the roots of the equation above are 2, 2, 26...

AI
Answered by Andreea I. MAT tutor
9906 Views

Why do you want to be a doctor rather than a nurse?

This is a commonly asked question in medical interviews, however several people struggle to come up with a strong answer. 

MS
Answered by Molly S. UCAT tutor
3610 Views

How can I write a personal statement that doesn't sound arrogant?

This is something that everyone will struggle with: writing 4000 characters about how great you are will inevitably feel a bit awkward. The key is to be confident, but not cocky. You can do this in two wa...

MS
8065 Views

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