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Contents
Quiz
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Quiz
the
cartesian plane
Given that y = 7 - 5x + 6x2 - 3x3,
(i) find dy/dx
(ii) find the value of k for which x + y = k is a tangent to the curve
(iii) show that y decreases as x increases.
Show that the function (x2 - 4)/x always increases as x increases.
Find the equation of the normal to the curve y = (x-3)/(x-1) at the point
where y = 3.
Find the maximum value of xy2 if x and y are such that x + y = 9.
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