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Maths
A Level

Differentiate with respect to X: x^2 + 2y^2+ 2xy = 2

Assuming the correct tools of differentiation have been taught, we can tackle each term seperately and then rearrange to have dy/dx as the subject.

Taking a look at the first term, x^2,  ...

CO
Answered by Callum O. Maths tutor
41903 Views

y = x*(x-2)^-1/2. Prove dy\dx = (x-4)/2*(x-2)^3/2

Firstly, when approaching a differentiation question you need to work out what method you need to use to solve it. As you can see there are two terms multiplied by one another (the 'x' term and the '(x...

GR
Answered by Graham R. Maths tutor
7093 Views

Using logarithms solve 8^(2x+1) = 24 (to 3dp)

Using the laws of logs you can see that if you log both sides of the equation you get: 

(2x+1)*log(8) = log(24) 

Dividing both sides of the equation by log(8) you get: 

<...
GR
Answered by Graham R. Maths tutor
16691 Views

Statistics: Dave throws a ball at a bucket. The probability the ball goes into the bucket is 0.4. Dave throws the ball four times. What is the probability that he gets it in twice?

When Dave throws the ball, it can either go into the bucket, or miss. The probability of the ball going into the bucket is 0.4 and each throw is independent of eachother so this probability is the same...

JW
Answered by Jack W. Maths tutor
8468 Views

What methods are there for integration?

There are five methods that can help you integrate a function. All these methods do is simplify the expression you're trying to integrate until you are left with something that you can recall what it i...

CA
Answered by Celine A. Maths tutor
5794 Views

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