When a liquid is cooled, molecules slow down and become closer together, thus reducing the total volume. When water is cooled from a liquid to a solid, the volume actually increases. What is the reason?
While most liquids typically experience a reduction in volume when the volume is cooled, water undergoes different phenomena due to the structure and bonding nature of the H2O molecules. When water is cooled to point where it forms a solid, the molecules are arranged in a manner that takes up more space than it did when it was a liquid. This is why we don't put soda cans in the freezer!
Differentiate the following: y = x^2 ln x
y` = 2x ln x + x^2 * 1/x = 2x ln x + x =x(2 ln x + 1)
Find x. 5x + 2 = 17