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Expand to get xy+3y-4x-12=x^2+y^2Rearrange to xy+3y-4x-12-x^2-y^2
Then you have to differentiate implicitly:
use product rule on xy to get:u = x v =ydu = 1 dv = dy/dx
so xy differentiates t...

1. Substitute f(x) = 53 into the equation given:f(x) = 53 = 2x² + 32).
   
   2. Rearrange to get x² on the left hand side: x² = (53-3)/2 = 253).
   
   3. Sq...

Indices are often referred to as powers of a number. A power of a number is the number of times you multiply that number by itself. The indices laws are the rules for how these numbers can be manipulated ...

First, we factorize each number.150=(5^2)32 and 100=(2^2)*(5^2) then to calculate the highest common factor we take the common factors with the smallest powers. In this case (5^2) and 2. That mea...

You have a total of £385 to split to Charlie, Ben and Sarah in the ratio of 1:2:4. First, I ask myself how many parts am I splitting the £385 into?From the ratio, I know the total number of parts = 1 + 2 ...