2018 THREE(c)

Question

The diagram below shows the graph of the function

y = 15 - x^{2}

, inside which an isosceles
triangle OAB has been drawn.

Loading diagram...

Find the maximum possible area,

A

, of the triangle.
You may assume that your answer is a maximum.

*You must use calculus and show any derivatives that you need to find when solving this
problem.*

Full Solution

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Video Explanation

NCEA Level 3 Calculus Differentiation 2018 NZQA Exam - Worked Answers by infinityplusone(starts at 42:40)

Exam Paper (2018)Assessment Schedule (2018)