When you start a car trip, you go to where the car is parked, start the car, and drive off. Your trip is completely determined by your steering wheel, gas pedal and brake pedal actions during your trip. Comment on this: When you are given function f[t, y] and make a diffeq

y'[t] = f[t, y[t]]

with y[0] given, then the plot of the corresponding solution is determined in much the same way that a car trip is determined.

.) the observation by semmelweis that more mothers died of childbed fever when their doctors also worked in the morgue

  the grams     of oxygen gas   that can be produced     is 20.6   grams of o₂

calculation

2liclo₃ →   2 licl + 3 o₂

step 1:   find the moles of liclo₃

moles = mass÷ molar mass

from periodic table the molar mass of liclo₃ =6.9 +35.5   +(16 x3) =90.4 g/mol

moles=38.7 g÷90.4 g/mol=0.4281   moles

step 2:   use the   mole ratio   to calculate the moles of o2

from equation above, liclo₃: o₂   is 2: 3  

therefore the moles of   o₂=0.4281 moles x3/2 =0.6422   moles

step 3: find mass   of o₂

mass= moles x molar mass

from periodic table the   molar mass of   o₂ = 16 x2= 32 g/mol

mass=0.6422   moles   x   32 g/mol = 20.6 grams of o₂

b. lifting dumbbell weight at 20-degree angle from the body after a 45-degree angle