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When is the inequality x^4 < 8x^2 + 9 true?

If we consider this like a normal quadratic problem, this becomes easy

x4 < 8x2 + 9

x4 - 8x2 - 9 < 0

(x2...

JP
Answered by Jesse P. MAT tutor
3925 Views

What is the sum of the series 2/3 − 2/9 + 2/27 − ....? (PAT Q1 2013)

This is the sum of a geometric series with an infinite number of terms.First, find the common ratio:(-2/9)/(2/3) = -1/3 , (2/27)/(-2/9) = -1/3Therefore, the common ratio is -1/3-1<(-1/3)<1 therefore...

KM
Answered by Kirill M. PAT tutor
16089 Views

If a bullet is shot into a suspended mass and does not pass through why can you not just use conservation of energy?

Energy will be lost due to the plastic deformation of the mass as the bullet enters the mass. However momentum will always be conserved, so you can use this to find the speed of the mass when the bulle...

DD
Answered by Dominic D. PAT tutor
3182 Views

How are you to find 2007^2 − 2006^2 without a calculator?

Like with many questions in the PAT test once you know what to do it is quite easy! To solve you can use a difference of two squares i.e. (2007-2006)(2007+2006). As the first bracket gives 1 and the se...

DD
Answered by Dominic D. PAT tutor
9362 Views

How are you qualified to teach the Latin University Admissions Test?

I am qualified to teach Latin for the University Admissions Tests, beause I passed the Latin Admissions Test of the University of Oxford with a "highly impressive" mark, as one professor of L...

BS
Answered by Barnaby S. Latin tutor
2523 Views

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