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If f(x) = 1/(6x^2), where x not equal to 0, find the rate of change when x=4.

f(x) can be rearranged to be: f(x) = 1/6 x-2This is then differentiated to be: f'(x) = -1/3 x-3 as the expression is multiplied by the original power (-2) and then the power is red...

TR
Answered by Thomas R. Maths tutor
1089 Views

Simplify : 4(x+5) / x^2+2x-15

Firstly, remember to factorise!
x^2+2x-15 = (x+5)(x-3)
∴ the numerator and denominator now both share a common term "(x+5)", so they can cancel one another out, leaving the answer as :...

SP
Answered by Sohum P. Maths tutor
5013 Views

Work out: 0.7 + 3/5

Show 3/5 as a decimal: 0.6
0.7 + 0.6 = 1.3
OR
Show 0.7 as a fraction: 7/10
Find a common denominator: 3/5 = 6/107/10 + 6/10 = 13/10 or 1 and ...

EB
Answered by Edward B. Maths tutor
3692 Views

Solve the following simultaneous equations: 2x + 2y = 14; 4x - 2y = 10

By Elimination:
We can add the equations together because +2y and -2y will cancel out: 2x + 4x = 14 + 10
This gives 6x = 24, so x = 4
We can put x back int...

EB
Answered by Edward B. Maths tutor
3965 Views

A quadrilateral has a perimeter of 42cm. Three sides have equal length and the fourth side is longer by 6cm. What is the length of the fourth side?

We can call the sides of the equal lengths "x".
We can then make an equation to satisfy the relationship between the perimeter and the length of the sides as follows:
x + x + x + (x + ...

EB
Answered by Edward B. Maths tutor
2347 Views

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