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What is the representation using a rule that relates one variable to another?
order of operations
How do you write 1.4 using words?
One and four tenths.
How do you write this number using words?
one and four twelfths
A ladder long rests against a vertical wall If the top of the ladder slides down at a rate of how fast is the bottom of the ladder sliding away when the bottom of the ladder is away from the wall?
If h is vertical height, b=horizontal distance from wall to bottom of ladder and l=lenght of ladder,we can say lsquared = hsquared + b squared. Now differentiate w.r.t. time t. 2l*dl/dt= 2h* dh/dt + 2b*db/dt =0 However this solution doesn't give exactly the same answer when one solves the problem geometrically or using simple pythagorus. For example ,if l=20m and b=12 m and h=16m and db/dt is 2m/s, I calculate dh/dt as !.5 m/s using calculus but 1.717 m/s using geometry or straight Pythagorus. Where is the fallasy inthe method using calculus? Ray Bevan
What are Descartes four rules of the method?
Rule one is to never believe anything unless you know it to be true. Rules two is to divide any issue into as many parts as possible for examination. Rule three is to find the easiest solution and work up to the most difficult. Rule four is to list every possible detail of a problem.
