Answers edited by Kha L.

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• What is the Cartesian form of #(-4,(-21pi)/4))#?
  
• What is the orthocenter of a triangle with corners at #(4 ,9 )#, #(7 ,4 )#, and (8 ,1 )#?
  
• What is the equation of the line that is normal to the polar curve #f(theta)=2sin(3theta+pi/3) - 2thetacostheta # at #theta = pi/4#?
  
• #int sin theta sin2theta sin3theta# ?
  
• How do you find the absolute extrema of #f(x) = x^3 + x^2 - 4x - 4# on the closed interval #[-3, 0]#?
  
• One canned juice drink is 25​% orange​ juice; another is 5​% orange juice. How many liters of each should be mixed together in order to get 20L that is 6​% orange​ juice?
  
• How do you find the derivative of #f(x)=-2x^-3+x^2-7#?
  
• What comes next in this sequence of prime numbers? 11, 13, 17, 19, ?
  
• 1, 2, 4 and 8 are factors of which number? 8, 6, 12, or 20?
  
• What is the derivative of #( cos (x) ) / ( 2 + sin (x) )#?
  
• How do you name an angle between #0^circ# and #360^circ# that is coterminal with the angle #-210^circ#?
  
• What are the factors of 5 & 15?
  
• Compute #i+i^2+i^3+\cdots+i^{258}+i^{259}#. ?