You ordered a large block of wood with length 5, width 2, and height 1 (each in feet). unfortunately, the manufacturer can only guarantee to meet these measurements up to an error of 0.1 excess feet per side. use a suitable gradient to approximate the most total excess volume that may occur. compute the exact maximal excess volume.

On his honeymoon, james joule attempted to explore the relationships between various forms of energy by measuring the rise of temperature of water which had fallen down a waterfall on mount blanc. what maximum temperature rise would one expect for a waterfall with a vertical drop of 20 m? the specific heat of water is 4186 j/kg ∙ k. a)0.064 c° b)0.053 c° c)0.071 c° d)0.047 c°