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Tackle this problem one part at a time: First differentiate 2x2y using the product rule, showing dy/dx(2x2y) = 4xy + 2x2(dy/dx). After this, the remainder of the question ...
Simplist surd form means use Quadratic equation
Write out Quadratic equation
Write out value of a, b and c
Fit these values into equation
Anything raised to the zeroth power is a difficult thing to get your head around. The easiest explanation (not a full proof) is to look at what happens as we go down in powers of n: n^3=nnn ...
This is because you are doubling both the length of the rectangle and its width. If it were extended by a factor of 2 in only one direction then its are would be 2A. Extending it in the other dir...
When you evaluate a definite integral, we can think about using the "+C" and see what happens. Let's take (INT)2x dx between 2 and 3. We then have [x2+C] between 2 and 3. For x=3 we h...
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