Aparallel plate capacitor is connected to a battery. explain how the following physical quantities will change if the separation between the plates is halved? (a) voltage across the capacitor
(b) charge on each plate
(c) charge density on each plate
(d) electric field inside the capacitor

The temperature at a point (x, y) is t(x, y), measured in degrees celsius. a bug crawls so that its position after t seconds is given by x = 6 + t , y = 8 + 1 3 t, where x and y are measured in centimeters. the temperature function satisfies tx(3, 9) = 5 and ty(3, 9) = 4. how fast is the temperature rising on the bug's path after 3 seconds? (round your answer to two decimal places.)