A rectangular vegetable patch is to be enclosed by a fence. One side of the patch is bordered by an existing wall, so fencing is only required for the other three sides. The total length of fencing available is 30 meters.
a. State an expression for the area, $A$, of the vegetable patch in terms of the length, $x$, of the side parallel to the wall.
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Create Free Account Log inThis is a free VCE Units 3 & 4 Mathematical Methods practice question worth 2 marks, testing your understanding of Optimisation Problems. It falls under Calculus in Unit 4: Mathematical Methods Unit 4. Submit your answer above to receive instant AI-powered marking and personalised feedback.
Continues the study of functions, algebra, calculus, and introduces probability and statistics.
Covers graphical treatment of limits, continuity and differentiability of functions of a single real variable, and differentiation, anti-differentiation and integration of these functions. This material is to be linked to applications in practical situations.
identification of local maximum/minimum values over an interval and application to solving optimisation problems in context, including identification of interval endpoint maximum and minimum values
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