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Find the equation of the tangent to the curve y=x^3 + 4x^2 - 2x - 3 where x = -4

(1) is the equation y=x 3 +4x 2 -2x-3. First we want to find the coordinates of the curve for x=-4. This means that we are going to substitute x=-4 into (1) to find the value of y. y=(-4) 3 + 4(-4) 2 - 2(-4)...
LB
Answered by Lizzie B. • Maths tutor
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Is 'Measure for Measure' a play which condemns excessive virtue as much as it does excessive vice?

Angelo and Lucio have very similar trials, are both accused of sexual crimes. Their crimes are paralleled and their punishments are too. These are two characters who are excessive in their respective virtue ...
SP
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The price of a banana has increased from £0.10 to £0.20. As a result quantity demanded of apples increased from 2.4 million units to 3.6 million units. Calculate the cross price elasticity of demand and interpret the value..

First we must use the formula to calculate cross price elasticity: XED= percentage change in quantity demanded of good A/percentage change in price of good B We are given the changes in quantity demanded for...
HM
Answered by Hugo M. • Economics tutor
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To what extent was Charles II's reign characterised by short term success but long term failure in the years 1660-1685?

Short term success (1660-1667): The Restoration settlement established the monarchy and the Political Nation were generally happy with the reinstatement of the monarchy. Charles continued to hold prerogative...
SP
Answered by Sarah P. • History tutor
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What does Macbeth mean when he says he will turn 'the multitudinous seas incarnadine' - Act 2, Scene 2?

Macbeth: Whence is that knocking?How is't with me, when every noise appalls me?What hands are here? Hah! They pluck out mine eyes.Will all great Neptune's ocean wash this bloodClean from my hand? No; this my...
CS
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