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Find the gradient of the tangent and the normal to the curve f(x)= 4x^3 - 7x - 10 at the point (2, 8)

y = 4x 3 - 7x -10The gradient of the function at any point can be found using its derivative:dy/dx = 12x 2 - 7The gradient of the function, m 1 , at (2,8) is equal to the gradient of the tangent at that poin...
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Answered by Miss P. • Maths tutor
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What is compound interest?

Interest is the return you get on savings or an investment. Normal interest is when you earn a fixed percentage amount per year on an initial amount. For example an interest rate of 5% on £100 would give you...
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Answered by Yasmin A. • Maths tutor
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Explain why bromine reacts more readily with phenol than benzene

Benzenes bonding consists of sideways overlap of PI bonds between carbons in the ring. due to the extensive overlapping and the PI bond not being held between two atoms the electrons are said to be delocalis...
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Answered by Molly A. • Chemistry tutor
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In Shakespeare's 'Richard III' how does Richard III manipulate those around him?

Richard III is power hungry and his need for power is his driving factor in his actions. He manipulates the people around him to get what he wants using flattery, persuasion etc. Even in the beginning of the...
MB
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Briefly explore Britain's relationship with 'Adapting to de-Christianisation', as described in chapter 7 of 'Religion and Society in Twentieth Century Britain'

We can see a nationwide phenomenon of loss of open Christian worship. We can see Christian institutions vanish across the nation, with England and Wales losing over 60% of their Anglican colleges by 2004. Th...
MB
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