A rectangular garden consists of a rectangular lawn of area 72m2. The pass is 2m wide at two longer sides of the garden and 1m wide along each of other two sides. (i) Show that the area of the garden is given by formula 144 A = 4x+ - + 80, where x is the length of the shorter side of the rectangle Find the smallest possible area of the garden satisfying these requirements (ii)

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.