Solids are weighed to determine its mass then put in water to measure the volume. ... Record the volume of the stopper. 7. Now by using the density formula D=m/v you will get the density. ... Of water in the cylinder. 3. ... Now that you have the mass and the volume use the density formula D=m/v and that will give you the density. 6. ...
Cable Department of Mathematics, Allegheny College, Meadville, PA 16335 The American Mathematical Monthly, February 1984, Volume 91, Number 2, p. 139. In most calculus books there is little effort given to showing that the cylindrical shell method and disk method give the same value when computing the volume of a solid of revolution. ... In this paper we shall show that the cylindrical shell and disk methods give the same value if the region revolved about the y-axis is bounded by and the x-axis, provided is a differentiable function on and is one-to-one. The proof is simple and uses t...
It was also used by Zu Chongzhi in the 5th century AD, who used it to find the volume of a sphere. ... Around AD 1000, the Islamic mathematician Ibn al-Haytham (Alhazen) was the first to derive the formula for the sum of the fourth powers, and using mathematical induction, he developed a method that is readily generalizable to finding the formula for the sum of any integral powers, which was fundamental to the development of integral calculus. ... Modern differential calculus on mean value theorem Archimedes is especially important for his discovery of the relation between the surface...
) - Temperature of the water (there will be an error with the thermometer) - Mass of MgSO4 and MgSO4•7H2O (error on the electronic balance) - Specific Heat Capacity (we are using the specific heat capacity of water) - Volume of Water - this is the controlled variable, as we will use the same amount of water in each experiment... - Water may have impurities (but we will use distilled water to decrease the error here) Equipment: Distilled Water Measuring Cylinder Polystyrene cup with lid Thermometer MgSO4 MgSO4•7H2O Stopwatch Spatula Electronic Balance Weighing C...
