Amass weighing 16 lb stretches a spring 8/5 ft. the mass is attached to a viscous damper with a damping constant of 2 lb- sec/ft. the mass is set in motion from its equilibrium position with a downward velocity of 5 in/sec.
find the position x of the mass at any time t. plot x versus t. if a force of 0.5 sin (2t) exerted to the system, describe the motion after a very long period of time.

Aboard 60 in. long is cut two parts so that the longer piece is 5 times the shorter. what are the length of the two pieces?

"curse these trig-loving pirates! " devora mutters as she looks at the map. then, after thinking for a moment, she walks back to the entrance of the secret cave, measuring 48 meters along the way. after performing a calculation, devora walks back to the empty treasure, faces the entrance, and turns a certain number of degrees to her left before walking 89 meters to the treasure. supposing that the angle at the cave entrance is acute and that devora's calculations were correct, how many degrees did she turn?

When solving a logarithm equation, how do you find the missing variable ?