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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, differentiating this ...
CO
Answered by Callum O. • Maths tutor
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Answer the following simultaneous equation:

Equation 1) x 2 +y 2 =5 (Equation 2) y=3x+1 The value of x is the same in both equations, as is the value of y. Therefore we can use one to work out the other. for example taking equation 1 and definining x ...
JS
Answered by Jenn S. • Maths tutor
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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-2) -1...
GR
Answered by Graham R. • Maths tutor
7572 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: 2x+1 = log(24)/log(8) Then it is a simple...
GR
Answered by Graham R. • Maths tutor
17625 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 for e...
JW
Answered by Jack W. • Maths tutor
8990 Views