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A DAS GUPTA-Maxima and Minima-EXERCISE
- A box without lid having maximum volume is made out of square metal sh...
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- Show that the height of the cylinder of maximum volume that can be ins...
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- Show that the cone of the greatest volume which can be inscribed in a ...
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- Prove that the cone, circumscribing a sphere of radius r, has the mini...
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- Prove that the radius of the right circular cylinder of greatest cu...
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- A tree trunk I metres long, is in the shape of a frustum of a cone, th...
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- A swimmer S is in the sea at a distance dk m from the closest point A ...
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- A private telephone company serving a small community makes a profit o...
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- A factory D is to be connected by a road with a straight railway line ...
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- Fill in the blanks. f(x) =x^2 +ax^-1 will have a minimum at x=2 if a =
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- What is the area of the largest triangle that can be inscribed in a se...
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- x and y be two variables such that xgt0 and xy=1. Then the minimum val...
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- The value of a so that the sum of the squares of the roots of the equa...
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- Twenty metres of wire is available for fencing off a flower-bed in ...
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- The total cost of making n pocket radios per day is Rs{(n^2)/4 +35n + ...
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- A telephone company in a town has 500 subscribers on its list and c...
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- If P(x) = a 0 + a 1 x ^(2) + a 2 x^(4) + … + a n x ^(2n) is a polyn...
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- Find the minimum length of radius vector of the curve (a^2)/(x^2)+(b^...
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- A right cylindrical vessel of a given capacity is formed using least p...
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- Let f(x) =(x-1)^p.(x-2)^q where p > 1, q > 1. Each critical point of f...
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