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The equation of a curve C is (x+3)(y-4)=x^2+y^2. Find dy/dx in terms of x and y

Expand to get xy+3y-4x-12=x^2+y^2Rearrange to xy+3y-4x-12-x^2-y^2 Then you have to differentiate implicitly: use product rule on xy to get:u = x v =ydu = 1 dv = dy/dx so xy differentiates to xdy/dx + y Then ...
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Answered by Ravi R. • Maths tutor
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The MMR vaccine gives protection against measles, mumps and rubella. How? (4 marks)

. Vaccine contains antigens from the pathogens . This is recognised by helper T cells which activates other helper T cells and B cells . B cells undergo clonal selection and produce memory + plasma cells . P...
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Answered by Mohit V. • Biology tutor
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Choose whether these sentences use the subjunctive or indicative tenses.

A typical subjunctive/indicative exercise- my answers are in bold. Il est important que je [venir] ce soir, car ma soeur m'attende. vienne (subj) Je pense qu'elle [être] intelligente. est (ind) Je ne pense p...
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Answered by Flora M. • French tutor
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Are Supreme Court Justices merely politicians in robes?

The idea that Supreme Court justices are politicians in robes is most surely backed-up by the politicisation of the appointment process. Merrick Garland, a liberal judge, was rejected by a republican senate ...
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Answered by Ilyas R. • Politics tutor
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How Important Are Military Difficulties In Explaining Czar Nicholas II's Abdication in February 1917?

While the presence and significance of the wealth of problems posed by the Czar's government should not be downplayed, it is highly likely that without the First World War - and its military problems - the r...
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Answered by Alexandra I. • History tutor
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