An unknown sample required 21.05ml of 0.02047 m kmno4 to reach the endpoint. how many moles of kmno4 reacted? (m=mol over liter)
a.0.43089 mol
b.0.04309 mol
c.0.004309 mol
d.0.0004309 mol

Determine the maximum r-value of the polar equation r =3+3 cos 0

Suppose that a mass of 2 kg is attached a spring whose spring constant is 50. the system is damped such that b = 12 . the mass is set in motion with an initial velocity of -8 m/s at a position 0 meters from equilibrium. set up and solve a differential equation that models this motion. write your solution in the form a cos ( ω t − α ) where α is a positive number. use your solution to fill in the information below: what is the amplitude of the motion? what is the value of ω ? what is the phase shift?

A6.0-μf air-filled capacitor is connected across a 100-v voltage source. after the source fully charges the capacitor, the capacitor is immersed in transformer oil (of dielectric constant 4.5). how much additional charge flows from the voltage source, which remained connected during the process?