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How do I find the limit as x-->infinity of (4x^2+5)/(x^2-6)?

Here you will deal with all problems of the same type in a very similar way. Intuition first tells us that we can’t really find the limit, as both the top (4x 2 +5), and the bottom (x 2 -6) parts of the frac...
AD
4074 Views

What is Homeostasis and what are the principles behind it?

Firstly, we need to consider what the term Homeostasis means: Homeostasis is defined as the maintenance of a stable internal environment. -The internal environment referred here in multi-cellular organisms l...
GK
15270 Views

Given that y = 5x^2 - 4/(x^3), x not equal to 0, find dy/dx.

y = 5x 2 - 4/x 3 1/x can be written as x -1 , which means our equation can also be written as y = 5x 2 - 4x -3 . dy/dx means that we need to differentiate y in terms of x. To differentiate an equation, we ne...
NL
Answered by Nick12 L. • Maths tutor
8789 Views

Solve the simultaneous equations (with a calculator)

x^2 + y^2 = 9 x + y = 2 1) Firstly look at the second equation which is the simplest and think how you can rearrange it to fit into the first equation: x + y = 2 can be rearranged to y = 2-x 2) y = 2-x can t...
EG
Answered by Emily G. • Maths tutor
18990 Views

How to remain nuanced when writing a high mark band essay answer

The highest marks for English Literature essays require the student to not only be confident and effective when arguing his or her answer but also integrate a nuanced response to other possible answers. This...
JB
15102 Views