An operator s in a two-dimensional hilbert space is given by where a is a complex parameter, and le) and ) are basis kets in the space. (a) find the eigenvalues of s. (b) find the normalized eigenvectors of s.

Name three different units of energy used to measure heat and describe what type of situations each is usually used.

An electric clothes dryer has a resistance of 8 ohms. it draws 30 a of current. what is the voltage, in volts, of the wall outlet that it is plugged into?

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.)