Find the general solution (for r(t), y(t), and z(t)) to the following differential equation wherer= zz +yy + zz, b-bz, and e-e2. you can use the boundary conditions x(t-0) = zo, y(t 0yo, z(t0)-zo, and lt-o-vox. if you find that you need to name an arbitrary constant in your final answer, call it r. this choice of label will become obvious in the near future. hint: first, break up the equation into components (i. e. 3 equations). nert, take yet another deriva- tive for some of those equations to get a harmonic oscillator equation for the velocity. you should know the solution for a harmonic oscillator. and if you know the solution for the velocity, you should be able to integrate to find the position.

1. how much energy is needed to raise the temperature of 40.0 g of argon from 25c to 40c? the specific heat capacity of argon is 0.520 j/(g·k) 2a. 23.0 ml of 0.100 m hcl (standard) are added from a buret to neutralize 50.0 ml of an unknown basic solution. 2b. if the oh- produced in the previous reaction came from ca(oh)2, then what is the molarity of the ca(oh)2? 3.calculate the new freezing-point of a solution when 60.5 grams of cacl2 solute is dissolved in 0.612 kg of water. 4. what is the maximum number of moles of alcl3 that can be produced from 5.0 mol al and 6.0 mol cl2? 5. a sample of oxygen gas has a volume of 150 ml when its pressure is 0.923 atm. if the pressure is increased to 0.987 atm and the temperature remains constant, what will the new volume be? 6. nitrogen gas in a closed container at a temperature of 100.0 oc and 3.0 atm is heated to 300 oc. what is the pressure of the gas at the higher temperature?

In a heat engine if 1000 j of heat enters the system the piston does 500 j of work, what is the final internal energy of the system if the initial energy was 2000 j? 1. write the equation 2.list out your known variables 3.plug the numbers into the equations 4.solve 5.write your solution statement that includes initial energy and final

What’s #16 asking me and how do i solve it?