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Find the cylinder of greatest volume that can be inscribled in a given right
circular cone.
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Find the volume of the largest cone that can be inscribed in a sphere of radius R.
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An open tank with a square base and vertical side to be constructed of sheet
metal to hold a given quantity of water. Show that the cost of the material will
be least when the depth is half the width.
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| The sum of the surface area of a rectangular paralekk opipid with sides x, 2x and |
.GIF) |
and a |
| sphere is given to be constant. Prove that the sum of their volumes
is minimum if x is equal to three times the radius of the sphere. Find the
minimum value of the sum volumes. |
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| The combined resistance |
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is given by |
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.GIF) |
(aconstant), show that the maximum resistance R is obtained |
| by chossing R1=R2 |
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Buses are to be charted for excursion. The price per ticket is $30 for the first
200 tickets with 10 centrebate for every ticket per passenger in excess of 200.
What number of passengers will produce the maximum gross in come for the
company?
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