application on absolute maximum and minimum

Descripción

Test sobre application on absolute maximum and minimum, creado por mrmaths2357 el 19/11/2014.
mrmaths2357
Test por mrmaths2357, actualizado hace más de 1 año
mrmaths2357
Creado por mrmaths2357 hace alrededor de 10 años
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Resumen del Recurso

Pregunta 1

Pregunta
A body is composed of a right cylinder and above it a semi-sphere with common base if the total surface area of the body is 2000 π 〖cm〗^2 , Find the height and the radius of the cylinder’s base, so that the volume of the body is maximum
Respuesta
  • r=20cm=h
  • r=20cm h=10cm
  • r=10cm=h

Pregunta 2

Pregunta
A thin rod of length 1 m is fixed at one of its ends and was let to vibrate as a pendulum, if the resistance of the rod against breaking at any point on it is given by the relation : R=ax(1-x)^2 where x is the distance of the point from the fixed end a<0 , Find the point at which the resistance is minimum
Respuesta
  • x=1/3
  • x=1
  • x=1/2
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