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| Find two postive numbers whose sum is 20 and whose product is as large as
possible |
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Divide 20 into two parts so that the product of the square of the one and the
cube of the other may be the greatest possible A
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A rectangle is given, whose area is constant. Prove that the sun of the lengths
of its sides is least when it is a square. |
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The length of the perim eter of a sector of a circle is 20 cm. Give an expression
for the area of the sector in terms of r (radius of the circle) and hence find the
maximum area of the sector.
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Prove that the perimeter of a right angled triangle of given hypotenuse is
maximum when the triangle is isosceles.
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| The sum of the hypotenuse and one side of a right angled triangle is given. For the area of the |
| triangle to be maximum, prove that the angle between these
sides is |
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