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Maths
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Find the cartesian equation of a curve?

A curve has parametric equations:

x = 2 + t2                           y = 4t

Find the cartesian equation of this curve.

A cartesian equation of a c...

JF
Answered by James F. Maths tutor
166391 Views

Find the inverse of f(x) = 7x+4

To start make the equation equal y.
So y = 7x+4
Then rearrange the equation to make x the subject.
Subtract 4 from both sides: y-4 = 7x
Divide by 7: (y-4)/7 = x
Now write it in te...

JS
Answered by Joe S. Maths tutor
13714 Views

What is a stable solution and what is dominance?

A stable solution is where neither player should move from their playsafe strategy, as it will only cause a decrease in profit.
Dominance is where one strategy is in every way better than another str...

JS
Answered by Joe S. Maths tutor
7579 Views

Solve the simultaneous equations: y = 4x^2 - 9x - 1 and y = 5 - 4x

Subtract the second equation from the first, giving you: 4x^2 -5x -6

Factorise the quadratic: (4x + 3)(x - 2)

x = -0.75

x= 2

Now substitute these...

DA
Answered by Damilola A. Maths tutor
10230 Views

How do we differentiate y=a^x when 'a' is an non zero real number

Firstly we must change it into a form we can deal with. To do this we take the natural log (ln) of both sides.ln(y)=ln(ax) ln(y)=x(ln(a))    using our rules of logsFrom here we differentiate. T...

MJ
Answered by Marcus J. Maths tutor
8046 Views

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