The diagram shows a plan for a rectangular piece of land ABCD. AD = 40 metres. Vegetables
Question:
The diagram shows a plan for a rectangular piece of land ABCD. AD = 40 metres. Vegetables are going to be planted in the triangular vegetable patch ACP. BP = CD= x metres.
a) Show that the area, A m² of the vegetable patch is given by
A = 20x −1/2x2.
b) Given that x can vary, find the maximum area of the vegetable patch,
showing clearly that A is a maximum not a minimum.
Transcribed Image Text:
B A -X ➤ P 40 X D
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To solve this problem we can use basic geometry and calculus a To find the area of the triangular ve...View the full answer
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Related Book For
Complete Pure Mathematics 1 For Cambridge International AS & A Level
ISBN: 9780198427438
2nd Edition
Authors: Jean Linsky, Brian Western, James Nicholson
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