Answers created by Vikki

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• How do you solve #6( n - 8 ) = 7 ( n - 6 ) + 5#?
  
• How to factor #a^8+b^8# ?
  
• How do you find all the zeros of #f(x)=(x+3)^2(x-1)#?
  
• What is the polynomial equation for the points passing through (-2,0), (0,0), (1,-4), (2,0)?
  
• Is #y = 2/5x# a direct variation equation and if so what is the constant?
  
• How do you solve # 6x^2=4x #?
  
• How do you solve using completing the square method #x^2 - 3x = 18#?
  
• How do you solve #3(x − 1) − (x + 5) = 2 #?
  
• What is the vertex of # y= x^2 - 4x#?
  
• What are the intercepts of #-10x-9y=25#?
  
• How do you solve #h/7 + 2 = 12#?
  
• How do you find the sum of the first 14 terms of the arithmetic series 11+7+3+...?
  
• What is the standard form of #f(x)=x(x-2)^2+4x-5 #?
  
• What is the distance between #(8,-7,-4)# and #(9,2,2)#?
  
• How do you solve #-7 = 1 + 2/3n#?
  
• What is the standard form of # y= (x - 8) (x -1)^2 #?
  
• How do you integrate #int (x^3 +x^2+2x+1) / [(x^2+1) (x^2+2)]# using partial fractions?
  
• What is the equation of the parabola that has a vertex at # (2, -5) # and passes through point # (3,-105) #?
  
• What is the derivative of #(2x-1)^3#?
  
• What is the angle between #<-3,9,-7 > # and #< 4,-2,8 >#?
  
• How do you find all the complex roots of #x^3-x^2+x-1#?
  
• How do you simplify #(2x+3)/(x^2-9) + x/(x-3)#?
  
• How do you solve #5=|2x— 4|#?
  
• How do you prove #1 + sin 2x = (sin x + cos x)^2#?
  
• What is #2sqrt3 - 3sqrt45 - sqrt27#?
  
• How do you solve for x in #log_ 6 (2-x) + log _ 6 (3-4x) = 1#?
  
• How do you solve #(x-4)(x+3) = 6#?
  
• Using the limit definition, how do you find the derivative of #1/(x^2-1)#?
  
• How do you find the limit of #((2x^2-6)/(5x-x^2))# as x approaches infinity?
  
• How do you divide #(2-4i)/(4-3i)#?
  
• How do you solve #log_8 (1) + log_9 (9) + log_5 (25) + 3x= 6#?
  
• How do you find the derivative #f(x)= 3x+2#?
  
• What is #f(x) = int (x-3)^2-3x+4 dx# if #f(2) = 1 #?
  
• How do you find the 7th term of the geometric sequence with the given terms a4 = 54, a5 = 162?
  
• How do you solve the system of equations #4x-y = -14# and #y = 4x+14# by substitution?
  
• What is the equation of the line between #(-11,4)# and #(7,3)#?
  
• What is the standard form of #y= x(3x-3)(x+2)#?
  
• What are the points of inflection of #f(x)=3x^5 - 5x^3 ##?
  
• How do you write the partial fraction decomposition of the rational expression # (3x + 2) / [(x - 1)(x + 4)]#?
  
• How do you evaluate the integral of #int (2-x)/(1- x^2)#?
  
• What is the implicit derivative of #5=xy^3-3xy#?
  
• How do you differentiate #f(x)= (4-x^2) *ln x# using the product rule?
  
• What is the slope of the line perpendicular to # y=4/7x+13#?
  
• How do you solve #z( 3 + 2i) = (2 — 3i)#?
  
• What is the equation of the parabola that has a vertex at # (56, -2) # and passes through point # (53,-9) #?
  
• How do you differentiate #f(x)=(5-x^2)(x^3-3x+3) # using the product rule?
  
• How do you write #l(x) = (tan(x^2))^.5# as a composition of two or more functions?
  
• What is the constant of variation, k, of the direct variation, y = kx, through (5, 8)?
  
• What is the standard form of #y=(2x-7)(-x+2) -5x^2-8#?
  
• What is #(pi)/3 # radians in degrees?
  
• How do you find #(fg)(5)+f(4)# when #f(x)=(x^2)+1# and #g(x)=x-4#?
  
• What is the equation of the line normal to #f(x)=2x^2-x - 1# at #x=5#?
  
• How do you solve the following system?: #y=2x + 3 , x + 3y = -3 #
  
• What is the equation of the tangent line of #f(x)=x^3+2x^2-3x+2# at #x=1#?
  
• How do you simplify and state the excluded values for #(4x-4)/(x-1)#?
  
• How do you graph #4x^2+4y^2-16x-16y+23=0 #?
  
• How do you factor #125+8z^3#?
  
• How do you solve #-14 + 5x = -12#?
  
• How do you implicitly differentiate #xy^2 + xy = 12#?
  
• Let #f(x) =abs(x+1)# and g(x) = 3x-2 how do you find (fog)(x)?
  
• How do you long divide #(2x^3+5x^2-36x+27) ÷ ( x-2)#?
  
• How do you simplify #3sqrt(-48)#?
  
• What is the equation of the line tangent to # f(x)=3x^2 + e^(1-x)# at # x=1#?
  
• What is the vertex of # y= 4(x+2)^2-2x^2-3x-1#?
  
• How do you solve the rational equation #1/(x-1)+3/(x+1)=2#?
  
• How do you differentiate #f(x)=(x-5)/(x-3)^2# using the quotient rule?
  
• How do you divide #(5x^3 - 7x^2 + 14) / (x^2 - 2)#?
  
• How do you long divide #(2x^3 - 7x^2 - 17x - 3) / (2x+3)#?
  
• How do you solve #log ( x -3 ) + log ( x-5 ) = log ( 2x - 9) #?
  
• How do you solve #2lnx+3ln2=5#?
  
• How do you graph and solve # 3|x-1|+2>=8#?
  
• How do you find the asymptotes for #g(x) =( 3x^2)/(x^2 - 9)#?
  
• How do you write #(2+3i)^2# in standard form?
  
• How do you differentiate # f(x)= [(2x+3)/(x-2)][(5x-1)/(3x-2)] # using the chain rule.?
  
• What is the standard form of #y=(x + 7)(x + 3) (x + 1)#?
  
• How do you find the derivative of # y= sqrt(x^2 + cos x)# using the chain rule?
  
• How do you find the derivative of #(sin x + 2x) / (cos x - 2)#?
  
• How do you find the center (h,k) and radius r of the circle with the given equation #x^2+(y-3)^2=16#?
  
• How do you factor #x^8 - 1/81#?
  
• How do you solve #log_36x= 1/2#?
  
• What is the the vertex of #y = 1/2(x+1)(x-5) #?
  
• How do you factor #y=x^3-x^2-4x+4 #?
  
• How do you solve the following system of equations?: #-x – 2y = 12 , 12x+y=8#?
  
• What is #int (2x-5)/(x^2+2x+2) dx#?
  
• How do you factor the expression #x^3 + 5x^2 - 7x -35#?
  
• How do you find the center, vertices, foci and eccentricity of #x^2/4+y^2/9=1#?
  
• How do you simplify #(3-7i) / (4i+2)#?
  
• How do you find the inverse of #f(x) = (x - 2) / (x + 2)#?
  
• Question #232e8
  
• How do you find the asymptotes for #(x^3-x)/(x^3-4x)#?
  
• How do you find the slant asymptote of #f(x)= (x^3 - 4x^2 + 2x - 6 )/( x +3)#?
  
• How do you solve #2 log x = log 2 + log (3x - 4)#?
  
• How do you solve #log_b 9=2#?
  
• How do you differentiate # f(x)=(3x^5 - 4x^3 + 2)^23 # using the chain rule.?
  
• How do you write the partial fraction decomposition of the rational expression # (x+10)/(x^2+2x-8)#?
  
• What conic section is represented by the equation #y^2/9-x^2/16=1#?
  
• How do I find the limits of rational functions?
  
• How do you identify the following equation #25x^2 + 4y^2 = 100# as a circle, parabola, ellipse or hyperbola?
  
• How do you find the sum of the infinite geometric series 1/3+1/9+1/27+1/81+...?
  
• If (-1, y) lies on the graph of y = 3^x+1, then what is y?
  
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