# Calculus

posted by .

The volume of an ice cube as it melts is given by the equation: V = 2.1x10^-5 t^3 - 6.5x10^-4 t^2 - 0.346 t + 21.31

Determine the rate at which the sides of the ice cube melt at both 10 and 75 minutes after the beginning of the melting process.

You may assume the the ice cube keeps its cubic shape throughout the melting process.

• Calculus -

You have to define if the variable t is in minutes, hours, etc

find the derivative dV/dt
sub in the values of 10 if in minutes, 1.6 if in hours etc

## Similar Questions

1. ### Physics

An ice cube is placed in a microwave oven. Suppose the oven delivers 135 W of power to the ice cube and that it takes 30200 J to melt it. How long does it take for the ice cube to melt?
2. ### Physics

An ice cube is placed in a microwave oven. Suppose the oven delivers 105 W, of power to the ice cube and that it takes 32,200 J to melt it. how long does it take for the ice cube to melt?
3. ### Physics

An ice cube is placed in a microwave oven. Suppose the oven delivers 105 W of power to the ice cube and that it takes 32,200 J to melt it. How long does it take for the ice cube to melt?
4. ### chemistry

An ice cube with a mass of 40.0 g melts in water originally at 25.0 degree C. a. How much heat does the ice cube absorb from the water when it melts. Report the answer in calories, kilocalories, joules b. Calculate the number of grams …
5. ### Calculus

A block of ice is exposed to heat in such a way that the block maintains a similar shape as it metls. The block of ice is initially 2' wide, 2 'high, and 3' long. If the change in the width of the ice is -1/3 ft/hr, find: the amount …
6. ### Physics

Suppose 100 g of water at 20°C is poured over a 70-g cube of ice with a temperature of -8°C. If all the ice melts, what is the final temperature of the water?
7. ### physical

An ice cube at 0°C measures 13.9 cm on a side. It sits on top of a copper block with a square cross section 13.9 cm on a side and a length of 19.1 cm. The block is partially immersed in a large pool of water at 88.5°C. How long does …
8. ### physics

An ice cube at 0°C measures 14.1 cm on a side. It sits on top of a copper block with a square cross section 14.1 cm on a side and a length of 18.9 cm. The block is partially immersed in a large pool of water at 89.3°C. How long does …
9. ### Math

I am doing a project, are my answers correct?
10. ### Math :)

Since the purpose of an ice cube is to keep a drink cold, is it better for an ice cube to have a high volume or a low volume?

More Similar Questions