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Given f(x)=2x^3 - 2x^2 + 8x, find f'(x) and f"(x).

The first step in scoring full marks on this typically 4 mark question is to recognise what it's asking you to do. We use the process of differentiation to solve it. f(x)=2x^3 - 2x^2 + 8xf'(x) = 6x^2 - 4x...

Answered by Maths tutor
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Integrate (x-5)/(x+1)(x-2) using partial fractions

We need to split the initial fraction into two. We know that (x-5)/(x+1)(x-2) is equivalent to A/(x+1) + B/(x-2). Multiplying by (x+1)(x-2) we get x-5 = A(x-2) + B(x+1). Expanding the brackets gives x - 5...

JA
Answered by Joshua A. Maths tutor
6489 Views

How does Patrick Süskind use religion to criticise society in 'Perfume: The Story of a Murderer'

Patrick Süskind frequently uses religious references in order to disparage society and the value it places on outmoded conventions. One way he does this is by highlighting the importance placed on virgini...

Answered by English Literature tutor
6120 Views

Why do rays of light change direction as they pass from air to a glass block?

Light travels as waves which have a distinct set of properties: a speed, a frequency and a wavelength. These properties are related to each other through the following equation: speed = frequency * wavele...

LC
Answered by Lisa C. Physics tutor
16183 Views

Define antibodies and antigens, and describe the different ways in which the body develops immunity.

Immunity is the capacity of the body to recognise the intrusion of disease-causing microorganisms (pathogens) and develop a response to fight infection. Antigens and antibodies are crucial to the process ...

CB
Answered by Charlotte B. Biology tutor
2427 Views

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