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The curve A (y = x3 – x2 + x -1) is perpendicular to the straight-line B at the point P (5, 2). If A and B intersect at P, what is the equation of B? Also, find any stationary points of the curve A.

Firstly find the gradient of A, through differentiation: dy/dy = 3x 2 – 2x + 1. To find the gradient at P, substitute the x value of the P coordinate into this equation: dy/dx = 3(2) 2 – 2(2) + 2 = 12 – 4 + ...
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Answered by James S. • Maths tutor
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What relationship does Phillips curve show us?

Bill Phillips was an economist from New Zealand who spotted that when employment levels are high, wages rise faster, therefore people start spending more money, therefore, boosting aggregate demand. This eva...
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Answered by Simeon P. • Economics tutor
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What should I focus on in an A-Level English essay?

It is important when writing an A-Level essay to focus on all of the assessment objectives, this means analysing the text itself, drawing on criticism and exploring the context. This can seem like a lot of w...
CP
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What do you need for a good medicine personal statement?

Your personal statement is your chance to tell the admissions tutors more about yourself (personal) and to set yourself apart from other candidates (statement). In the opening paragraph you want to introduce...
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How does the indirect statement work in Latin?

Indirect statement denotes indirect speech: not 'He ran' but 'I said that he ran'. The construction that Latin uses is the accusative and infinitive after the introductory verb, and so in the example, 'I sai...
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Answered by Milo R. • Latin tutor
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