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How do you find the stationary points on a curve?

Let y = f(x). The gradient of the tangent to the curve at a stationary point is equal to 0. To find an equation for the gradient of the curve, differentiate f(x) to get dy/dx. Because we are looking for stat...
CM
Answered by Caroline M. • Maths tutor
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Solve the simultaneous equations: x+y=2 , 4y²-x²=11

These equations would best be solved using the substitution method, in this case the easiest way would be substituting x. For the first equation we need to rearrange it to get x on one side so we have x=2-y....
WP
Answered by Waris P. • Maths tutor
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Equations

Ran through the 3 different types of GCSE equations
OM
Answered by Oscar M. • Maths tutor
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How would you answer a frequency tree question such as '400 people were asked if they drink orange juice, 8/10 say yes, 25% of these say yes to drinking 3 cups a day. Complete the frequency diagram.'?

There are a total of 400 people, therefore to work out how many people said yes you would need to divide 400 by 10 which would equal 40 then times 40 by 8 which comes to 320. To establish how many people sai...
MC
Answered by Megan C. • Maths tutor
5372 Views

Solve the following set of simultaneous equations: 3x + y = 11, 2x + y = 8

First I will explain the scenario and clearly describe what exactly the question is asking us to do: in this case, we have to find the correct value of 'x' and 'y' that successfully agree with both of the eq...
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