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i) Using implicit differentiation find dy/dx for x^2 + y^2 = 4 ii) At what points is the tangent to the curve parallel to the y axis iii) Given the line y=x+c only intersects the circle once find c given that c is positive.

I don't know how effectively I can communicate this answer via text without the whiteboard but I'll try.

i) First implicitly differentiate with respect to x: 2x + 2y * dy/dx = 0.

Rearranging...

Answered by James D. • Maths tutor

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Solve the simultaneous equations, 2x+y-5=0 and x^2-y^2=3

2x+y-5=0, y=5-2x (put into second equation)

x²-y²=3, substituting in we get, x²-(5-2x)²=3, expand, x²-(25+4x²-20x)=3, simplify, x

Answered by Joshua S. • Maths tutor

12724 Views

Explain why, for Locke, extension is a primary quality?

Locke founded the idea that we perceive qualities differently. He argued that primary qualities such as extension, size, shape and weight do not change when we perceive them. They are mind independent, ob...

Answered by Joshua S. • Philosophy tutor

10361 Views

How do you know which case to use after German prepositions?

There are three possible cases that follow prepositions: accusative, dative or genitive. The following prepositions are followed by the accusative case: bis,durch, fuer, gegen, ohne, um Example- Ich will ...

Answered by Thorkild V. • German tutor

10156 Views