# Science:Math Exam Resources/Courses/MATH104/December 2012/Question 06 (c)

MATH104 December 2012
Other MATH104 Exams

### Question 06 (c)

Consider the curve ${\displaystyle x^{2}+y^{3}-2xy=0}$. Assume that the point (x,y) = (1,1) lies on the curve, and that nearby points on the curve satisfy y=f(x) for some function of f(x).

Approximate f(1.02) using the linear approximation of f(x) at x=1. State whether you expect this to be an overestimate, or an underestimate of f(1.02).

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