Answers edited by Lotusbluete

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• How do you differentiate #f(x)=ln (x^2+1)^(1/2)#?
  
• How do you write the partial fraction decomposition of the rational expression #(s^3+s-4)/( (s^2+1)(s^2+4))#?
  
• How do you integrate #int (x^2 + 1)/ ((2x-1)(x+1)(x-1)) dx# using partial fractions?
  
• How do you use polynomial division to determine whether x=3 is a root of #x^3+x^2+15-x#?
  
• How do you find the derivative of #[3 cos 2x + sin^2 x]#?
  
• How do you divide #(2+5i)/(5+2i)#?
  
• How do you find the area of a parallelogram with two sides and an angle?
  
• What is x if #log_2(3-x) + log_2 (2-x) = log_2 (1-x)#?
  
• How do you find the derivative of #cos (2x)#?
  
• How do you simplify #sqrt3/(sqrt6 -1) - sqrt3/(sqrt6 + 1)#?
  
• How do you find the derivative of #y = (1 + cos^2x) / (1 - cos^2x)#?
  
• In rhombus #ABCD#, the length, in inches of #AB# is #3x + 2# and #BC# is #x + 12#. Wha tis the number of inches in the length of #DC#?
  
• How do you simplify #i^3(2i^6-4i^21)#?
  
• Is it possible to factor #y=2x^2 + 13x + 6 #? If so, what are the factors?
  
• Question #b7e2c
  
• How do you rationalize the denominator of #(7-sqrt5)/(7+sqrt5)#?
  
• How would you solve the system of these two linear equations: #2x + 3y = -1# and #x - 2y = 3#? Enter your solution as an ordered pair (x,y).
  
• How do you differentiate #f(x)=sin((x/(x^2-1))^(3/2))# using the chain rule?
  
• How do you differentiate #f(x)=cose^(4x)# using the chain rule.?
  
• What is the derivative of #f(x) = ln sqrt ((2x-8 )/( 3x+3))#?
  
• What are the first and second derivatives of #f(x)=ln(e^-x + xe^-x) #?
  
• How do you prove #sin(x) x tan(x) + cos(x) = sec(x)#?
  
• How do you find the integral of #f(x)=xsqrt(x-5)# using integration by parts?
  
• How do you solve the inequality #2x^3 + 13x^2 -8x - 46 >=6#?
  
• How do you graph and solve #5 + |1-x/2| >=8#?
  
• How do you find #int (x^2+1)/(x(x^2-1)) dx# using partial fractions?
  
• How do you simplify #(3+i)/ (-2+i)#?
  
• A triangle has sides A, B, and C. The angle between sides A and B is #(7pi)/12#. If side C has a length of #1 # and the angle between sides B and C is #pi/12#, what is the length of side A?
  
• How do you prove #sin^(2)(x+π/4)-sin^(2)(x-π/4)=2sinx*cosx#?
  
• How do you differentiate #g(x) = sqrt(x^3-4)cos2x# using the product rule?
  
• How do you find the vertex of #y = x^2-8x+7#?
  
• How do you differentiate #f(x)=1/(ln(1-(e^(-cos(x^2)))))^(3/2)# using the chain rule?
  
• Can #y= x^2-3x-28 # be factored? If so what are the factors ?