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Maths
A Level

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
7557 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
8030 Views

If (m+8)(x^2)+m=7-8x has two real roots show that (m+9)(m-8)<0 where m is an arbitrary constant

For this we are going to test our knowledge of discriminats and factorisation. Firstly we will format the equation as (m+8)x2+8x+(m-7)=0From here we can see it takes the form ax2+bx+...

MJ
Answered by Marcus J. Maths tutor
5026 Views

Find the sum and product of the roots of the equation 2x^2+3x-5=0

We know that for equation ax^2+bx+c=0
a = 2,b = 3,c = -5
If the roots x1 and x2 are real numbers:
x1 + x2 = -b/a = -3/2
x1*x2 = c/a = -5/2

PG
Answered by Pavel G. Maths tutor
16013 Views

Find minimum and maximum of x^2+1 if they exist

There are several methods of finding the extrema(plural of extremums or in other words minimum or maximum values) of a function.

For now we will analyse the function using the dy/dx of f(x)=y...

PG
Answered by Pavel G. Maths tutor
4804 Views

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