A 16-pound weight is attached to a spring stretching it 1.28 feet. Assuming that a damping force equal to 5 times the instantaneous velocity acts on the system. 1. State the differential equation describing the motion of this spring/mass system.
2. Find the real-valued general solution of this DE of motion for this spring/mass system (with arbitrary constants).
3. If the weight is released 5 feet below the equilibrium position with an initial downward velocity of 2 ftsec, clearly write the initial conditions (including units).
4. Solve for the solution of the IVP, showing all work.

Work = force × a. work b. energy c. distance d. momentum

While studying chemical reactions and conservation of matter, sarah's class conducted a variety of experiments. sarah and her lab partner found the mass of a wax candle and placed the candle in a flask. the students lit the candle and let it burn to completion. all that was left was wax and charred candle wick. per their teacher's instructions, the students found the mass of the products. their data can be seen in the data table. formulate a hypothesis the students could test to explain why the experiment did not support the law of conservation of matter. a) the students could repeat the experiment using different candles; there might have been a flaw in the candle. b) the experiment should be repeatable. the students should run several trials and then take an average of the after mass in each trial. c) the students should have someone in the class check their measurement skills as they repeat the experiment. they may have made an error using the balance. d) the students should burn the candle in a container that has some type of lid so that any gas that is a product of the reaction can be contained and massed. submit

**urgent** roberto plans to use two transformers to reduce a voltage of 120 v to 4 v. he uses a transformer that has 300 coils in the primary winding and 50 coils in the secondary winding. he has four other transformers, as listed in the table. which transformer should roberto use to have an ending voltage of 4 v? a- w b-xc- yd- z