Answers edited by Karthik G

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• What is the trigonometric form of # (5-2i)(2+3i) #?
  
• How do you simplify #i^17#?
  
• What is the equation of the line perpendicular to #y=-2/7x # that passes through # (-2,5) #?
  
• What is the implicit derivative of #3=1/y -x^2 #?
  
• How do you solve #log (3x+1) = 1 + log (2x-1)#?
  
• How do you compute (fog) and (gof) if #g(x) = x^2 - 8#, #f(x) = (-x +1)^(1/2)#?
  
• How do you write the partial fraction decomposition of the rational expression #(x+2) / (x(x-4)) #?
  
• How do you express #sin theta - csc theta + sec theta # in terms of #cos theta #?
  
• What are the vertex, axis of symmetry, maximum or minimum value, domain, and range of the function #y = - x^2- 4x + 3#?
  
• What is the vertex form of #y= 2x^2+4x-30 #?
  
• What is the vertex form of #y=-x^2-3x+5#?