Asolenoid 4.20 cm in diameter and 20.5 cm long has 216 turns and carries a current of 18.8 a. calculate the magnetic flux through the circular cross-sectional area of the solenoid.

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.)

In one or two sentences, describe how you did in the balancing game. in a few more sentences, explain one strategy you learned for balancing more complex equations.

Ryan is examining the energy of the particles in a bar of gold. what is ryan most likely studying?