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Show that the inequality x^4 < 8x^2 + 9 is satisfied for when -3 < x < 3 .

(x^2 - 9)(x^2 + 1) < 0 solving the equation to get solutions to the equality (x^2 - 9)(x^2 + 1) = 0 : x = +/- 3 or x = +/- 1 now consider points either side of these x-intercepts... for x&...

HT
Answered by Hakkihan T. MAT tutor
1359 Views

What do I do if I'm running out of time?

one word: TRIAGE. You have to assess which questions are too time-consuming and not worth spending your precious seconds on. It's always best to guess at a very time-consuming question in order to correct...

SS
Answered by Samriddhi S. UCAT tutor
3331 Views

How can I integrate e^x sin(x)?

This integral is a particularly difficult integral that has shown up in STEP questions before. It's not hard because of how difficult the actual calculations are, but more because of how hard it is to spo...

LH
Answered by Lawrence H. STEP tutor
3011 Views

How do I prepare for an exam that you're not supposed to be able to revise for?

The LNAT is unique in that you cannot revise for it from a book or using an online guide; the questions are designed to test your critical evaluation skills and your independent thinking. That said, you c...

AB
Answered by Alice B. LNAT tutor
1654 Views

What is the best way to go about preparing for the UKCAT exam?

This question is personal for every student! I can only share what I found most useful.

Start preparation fairly early, but do only a little in one go. You’ll commit techniques to memory and automa...

KD
Answered by Karan D. UCAT tutor
6323 Views

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