Answers edited by Burglar

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• What is the orthocenter of a triangle with corners at #(4 ,2 )#, #(8 ,3 )#, and (7 ,9 )#?
  
• What is the projection of #<< 3, -6, 2 >># onto #<< 3, 2, 1 >>#?
  
• What is the limit of #(1-7/x)^x# as x approaches infinity?
  
• How do you solve # y=x-2# and #y=4x+1#?
  
• Why was Galileo brought before the inquisition in 1632?
  
• What is the kinetic energy of an object with a mass of #9 kg# that has been in freefall for #1 s#?
  
• What is the period of #f(t)=sin( t / 32 )+ cos( (t)/64 ) #?
  
• How do you convert #3sqrt(3) + 3i# to polar form?
  
• The velocity of an object with a mass of #4 kg# is given by #v(t)= sin 3 t + cos 7 t #. What is the impulse applied to the object at #t= (5pi)/12 #?
  
• How do you find the square root of 81?
  
• A model train, with a mass of #3 kg#, is moving on a circular track with a radius of #2 m#. If the train's rate of revolution changes from #5/3 Hz# to #3/4 Hz#, by how much will the centripetal force applied by the tracks change by?
  
• How can the universe exist?
  
• How do you solve #Tan x + cot x -2 =0 #?
  
• How many total manned missions landed on the moon?
  
• What is the difference between current and voltage, besides their units of measurement?
  
• How do you integrate #ln(x+sqrt(x^2+1))#?
  
• What is a non-fundamental force?
  
• How do you evaluate # (1+a/x)^x# as x approaches infinity?
  
• How do you find the center and radius of the circle #(x-2)^2+(y+1)^2=2#?
  
• Can anyone help me understand why so many of the questions about springs use the units #kgs^-2# rather than #Nm^-1# for the spring constant?
  
• How long is a earth day to the exact second?
  
• A triangle has sides A, B, and C. Sides A and B have lengths of 7 and 8, respectively. The angle between A and C is #(5pi)/24# and the angle between B and C is # (5pi)/24#. What is the area of the triangle?
  
• How do you write 53657 nanoseconds in scientific notation?