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Recent questions tagged p138

The curve $y=x^\frac{1}{5}$ has at

asked Jan 11, 2013 by sreemathi.v

1 answer

A ladder, 5 meter long,standing on a horizontal floor,leans against a vertical wall.If the top of the ladder slides downwards at the rate of 10cm/sec,then the rate at which the angle between the floor and the ladder is decreasing when lower end of ladder is 2 meters from the wall measure in "radian/seconds" is?

asked Jan 11, 2013 by sreemathi.v

1 answer

The sides of an equilateral triangle are increasing at the rate of 2cm/sec.The rate at which the area increases ,when side is 10cm is

asked Jan 11, 2013 by sreemathi.v

1 answer

The sum of the surface area of a rectangular parallelepiped with sides x,2x and $\Large\frac{x}{3}$ and a sphere is given to be constant.Prove that the sum of their volume is minimum,if x is equal to three times the radius of the sphere.Also find the minimum value of the sum of their volumes.

asked Jan 11, 2013 by sreemathi.v

0 answers

A metal box with a square base and vertical sides is to contain 1024$cm^3$.The material for the top and bottom costs Rs 5/$cm^2$ and the material for the sides costs Rs2.50/$cm^2$.Find the least cost of the box.

asked Jan 11, 2013 by sreemathi.v

0 answers

AB is a diameter of a circle and C is any point on the circle.Show that the area of $\bigtriangleup ABC$ is maximum,when it is isosceles.

asked Jan 11, 2013 by sreemathi.v

1 answer

If the sum of the surface areas of cube and a sphere is constant.What is the ratio of an edge of the cube to the diameter of the sphere,when the sum of their volumes is minimum?

asked Jan 11, 2013 by sreemathi.v

1 answer

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