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How do I expand (x-2)(3x+3) into a quadratic?

The expansion of two brackets containing two terms each is a little more complicated than expanding say, x(3x+3). There is a process to follow for these questions. First, just look at the x term in the first...
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Answered by William P. • Maths tutor
4807 Views

What is the chain rule?

The chain rule is a type of differentiation used when you are differentiating a function of a function e.g. (2x+5)^3, or e.g.2. (x^2 + 5)^0.5. Firstly you replace one function with u. You then differentiate ...
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Answered by Alice S. • Maths tutor
4004 Views

How does an endotherm respond to a decrease in external temperature?

What's an endotherm? An animal that can increase its body temperature by metabolically produced heat. Why does a decrease in temperature matter? 37ºC is the optimal temperature for enzyme function – endother...
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Answered by Felix B. • Biology tutor
8467 Views

Outline the fight or flight response

The fight or flight response is the body and brains reaction to a situation, resulting in either to withstand the situation (fight) or flee the situation (flight). Firstly the hypothalamus,a region of the fo...
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Answered by Katie S. • Geography tutor
19528 Views

The curve C is paramterised by the equations: x = 5t + 3 ; y = 2 / t ; t > 0 Find y in terms of x and hence find dy/dx

x = 5t + 3 -> x - 3 = 5t -> (x - 3) / 5 = t y = 2 / t -> y = 2 / ((x - 3) / 5) -> y = 10 / (x - 3) dy/dx = d/dx (10 / (x - 3)) -> dy/dx= -10 (x - 3) -2
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Answered by Dylan C. • Maths tutor
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