Answers edited by Lotusbluete

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• Can `y= x^2-3x-28` be factored? If so what are the factors ?
  
• How do you simplify `(3+i)/ (-2+i)`?
  
• How do you rationalize the denominator of `(7-sqrt5)/(7+sqrt5)`?
  
• How do you simplify `sqrt3/(sqrt6 -1) - sqrt3/(sqrt6 + 1)`?
  
• 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).
  
• 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 integrate `int (x^2 + 1)/ ((2x-1)(x+1)(x-1)) dx` using partial fractions?
  
• 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?
  
• What is the derivative of `f(x) = ln sqrt ((2x-8 )/( 3x+3))`?
  
• How do you prove `sin^(2)(x+π/4)-sin^(2)(x-π/4)=2sinx*cosx`?
  
• How do you solve the inequality `2x^3 + 13x^2 -8x - 46 >=6`?
  
• How do you differentiate `g(x) = sqrt(x^3-4)cos2x` using the product rule?
  
• How do you differentiate `f(x)=sin((x/(x^2-1))^(3/2))` using the chain rule?
  
• How do you find the derivative of `y = (1 + cos^2x) / (1 - cos^2x)`?
  
• How do you differentiate `f(x)=ln (x^2+1)^(1/2)`?
  
• Is it possible to factor `y=2x^2 + 13x + 6`? If so, what are the factors?
  
• How do you find the integral of `f(x)=xsqrt(x-5)` using integration by parts?
  
• How do you find the area of a parallelogram with two sides and an angle?
  
• How do you divide `(2+5i)/(5+2i)`?
  
• How do you differentiate `f(x)=cose^(4x)` using the chain rule.?
  
• How do you find the derivative of `[3 cos 2x + sin^2 x]`?
  
• Question #b7e2c
  
• What are the first and second derivatives of `f(x)=ln(e^-x + xe^-x)`?
  
• How do you differentiate `f(x)=1/(ln(1-(e^(-cos(x^2)))))^(3/2)` using the chain rule?
  
• 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 graph and solve `5 + |1-x/2| >=8`?
  
• How do you simplify `i^3(2i^6-4i^21)`?
  
• How do you find `int (x^2+1)/(x(x^2-1)) dx` using partial fractions?
  
• How do you find the derivative of `cos (2x)`?
  
• How do you find the vertex of `y = x^2-8x+7`?
  
• What is x if `log_2(3-x) + log_2 (2-x) = log_2 (1-x)`?
  
• How do you prove `sin(x) x tan(x) + cos(x) = sec(x)`?
  
• How do you use polynomial division to determine whether x=3 is a root of `x^3+x^2+15-x`?