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Simplify (x^5 * x^8)/(x^4 * x^4).

By using our laws of Indices we know: x^5 * x^12 = x^17 and x^4 * x^4 = x^16 Therefor (x^5 * x^8)/(x^4 * x^4) = x^17/x^16 = x^1 = x.
CM
Answered by Catriona M. • Maths tutor
3470 Views

What is the next number in this sequence: 15, 29, 43, 57, 71, ?

The answer is: 85 Because in the to get the next number you add 14 to the previous number
IF
Answered by Ife F. • Maths tutor
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How to do the chain rule.

The chain rule is used for functions 'inside' other functions. We have learnt to differentiate functions like x^2, y^20, e^x, -sin(x), and we will use these results in the chain rule. Let's look at an exampl...
JC
Answered by Jamie C. • Maths tutor
4485 Views

Solve the simultaneous equations x^2 + y^2 = 9 and x+ y = 2. Give your answer to 2.d.p

Label your two equations 1 and 2 respectively. Make x the subject of the second equation, so x=2-y. Substitute x=2-y into x^2+y^2=9, to give (2-y)^2+y^2=9. Expand the brackets using FOIL to give 4-4y+y^2+y^2...
GS
Answered by Georgia S. • Maths tutor
33215 Views

How do I find the equation of a tangent to a given point on a curve?

Let's take an example: Curve: y = x^2 Point: (2,4) The equation of the tangent is going to be of the form y = mx + c (standard equation of a straight line), where m is the gradient of the line and c is the i...
TP
Answered by Theo P. • Maths tutor
4812 Views