Afuel gauge uses a capacitor to determine the height of the fuel in a tank. the effective dielectric constant keff changes from a value of 1 when the tank is empty to a value of k, the dielectric constant of the fuel, when the tank is full. the appropriate electronic circuitry can determine the effective dielectric constant of the combined air and fuel between the capacitor plates. each of the two rectangular plates has a width w and a length l (fig. p24.68). the height of the fuel between the plates is h

Newton's law of cooling states that the rate of change in the temperature t(t) of a body is proportional to the difference between the temperature of the medium m(t) and the temperature of the body. that is, startfraction dt over dt endfraction equals upper k left bracket upper m left parenthesis t right parenthesis minus upper t left parenthesis t right parenthesis right bracket , where k is a constant. let kequals0.04 left parenthesis min right parenthesis superscript negative 1 and the temperature of the medium be constant, m(t) font size decreased by 3 equivalent font size decreased by 3 294 kelvins. if the body is initially at 369 kelvins, use euler's method with hequals0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes.