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100=ab P=2a+2b P=2a+200/a dP/da=2-200/a^2 dP/da=0 implies 2=200/a^2 a^2=100 a=-10,10 a is a length so take positive a, a=10 so b=10 gives perimeter 40m Notice a=10 b=10 is a square Squares are rectangles of ...

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To obtain the inverse fucntion basically all we have to do is re-arrange the equation and the do a small trick of swaping x and f(x), which can be done either at the start or at the end. Assuming we leavce i...

We must first remember that to integrate, we must increase the power by 1 and divide by this new power. Therefore, to integrate 3x^2 + 4x + 9, we take the first term, 3x^2 . Using the above method, we find t...

To factorise this equation, we must find two numbers that add together to make 3 and multiply to make -4 . These numbers must be -3 and -1 . We would then rewrite the equation as (x-3)(x-1)=0. To solve this ...