QCEVault

Differential equations — Question 74

Original QCE Vault practice · 5 marks

Q74 · Practice questionComplex familiar5 marks

QUESTION 74 (5 marks)

The curve x2y+y3=10x^2y+y^3=10 passes through (1,2)(1,2).
a)
Use implicit differentiation to obtain dy/dxdy/dx in terms of xx and yy.
[2 marks]
b)
Determine the equation of the tangent at (1,2)(1,2).
[2 marks]
c)
Determine the acute angle the tangent makes with the horizontal, to the nearest 0.1∘0.1^\circ.
[1 mark]
Question linkSyllabus coverage

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