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Finding the derivative of a polynomial.

Take any polynomial, eg/ y=x 3 + 1 / 2 x 2 -3x+9. Then dy / dx =3x , +x-3, in this case. This is because, when deriving in this sense, you take each term in x, multiply it by its index, and reduce that index...
YP
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How to determine the number of unique real roots of a quadratic equation.

Take any quadratic equation, eg/ 3x 2 +4x-2=5 , and rearrange to equal 0 , ie/ 3x 2 +4x-7=0 (if you have an expression, ie/ there is no equals sign, then simply equate the expression to 0 ). Now, we use the ...
YP
Answered by Yaniv P. • Maths tutor
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Describe how blood vessels are able to assist in the control of body temperature.

If body temperature is too high: Capillaries dilate, increasing the blood supply to the skin and allowing heat to be lost from the body by radiation. If body temperature is too low: Capillaries constrict, re...
MW
Answered by Merrin W. • Biology tutor
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What is Pythagoras's theorem?

For any right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is the sum of the square of the remaining two sides.
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Answered by Bhavika M. • Maths tutor
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So, what actually is a mole?

A mole is simply a unit of measurement of any substance that contains as many atoms as there are in 12 grams of Carbon-12. Why Carbon-12? Carbon-12 is the standard by which we compare the mass of any other m...
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Answered by Patrick Q. • Chemistry tutor
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