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• How do you find the local max and min for #x^3-2x^2-8x#?
  
• How do you differentiate #f(x) = (x^2-4x)/(x+1)# using the quotient rule?
  
• Suppose, #a_n# is monotone and converges and #b_n=(a_n)^2#. Does #b_n# necessarily converge?
  
• How do you differentiate #g(x) = xsqrt(x^2-x)# using the product rule?
  
• If #A= <2 ,6 ,-3 ># and #B= <3 ,-1 ,5 >#, what is #A*B -||A|| ||B||#?
  
• What is the zeros of the function #h(x) = (4-9x^2)/(2x-5)#?
  
• Is #f(x)=4xe^x # increasing or decreasing at #x=-2 #?
  
• How do you write # -3+4i# in trigonometric form?
  
• How do you simplify #((2x^-6)/(7y^-3))^-3#?
  
• How do you solve #50x - 40 x = 40#?
  
• How do you simplify #( 3 + i ) ( 3 + i )#?
  
• What is #int 16sin^2 xcos^2 x dx #?
  
• What are the components of the vector between the origin and the polar coordinate #(-2, (3pi)/2)#?
  
• What is the unit vector that is orthogonal to the plane containing # <3, -6, 2> # and # <1, 1, 1> #?
  
• How do you differentiate #f(x)=x^2 * sin4x# using the product rule?
  
• How can i find a plane #P# with #A(0,-1,1) in P#, #B(-1,2,3) in P# and parallel to the y axis ?
  
• How do you use the factor theorem to determine whether x-1 is a factor of #f(x)=x^3+4x-5#?
  
• What is the relationship between the degree of a polynomial and the maximum numbers of zeros it can have?
  
• What does the intermediate value theorem mean?
  
• How do you solve #4x^2 + 4x + 1 > 0#?
  
• How do you derive #y = (1 + sin(2x)]/[1 - sin(2x))# using the quotient rule?
  
• What is the value of #-3^4#?
  
• How do you factor completely #x^4 + 7x^2 + 10#?
  
• How do you find the derivative of #sqrt(2x+3)#?
  
• What is the polar form of #( -5,-1 )#?
  
• How do you find the zeros, real and imaginary, of #y=x^2-x+17# using the quadratic formula?
  
• What is the distance between # (4,0) # and # (5,2) #?
  
• What is #tan^2theta# in terms of non-exponential trigonometric functions?
  
• The radius of a circle is 6.5. What is the diameter, circumference, and area?
  
• How do you find a power series representation for #(arctan(x))/(x) # and what is the radius of convergence?
  
• Question #38c69
  
• How do you find #int (x+1)/(x(x^2-1)) dx# using partial fractions?
  
• How can you use trigonometric functions to simplify # 3 e^( ( 3 pi)/2 i ) # into a non-exponential complex number?
  
• How do you find the distance on a complex plane from 5-12i to the origin?
  
• What is #4cos^5thetasin^5theta# in terms of non-exponential trigonometric functions?
  
• How do you simplify #( 3 + 3i ) + ( 3 - 3i)#?
  
• How do you solve the inequality #9 - x > 10#?
  
• How do you find the derivative of # y=sin^2x cos^2x#?
  
• How do you differentiate #(x^2 -6x + 9 )/ sqrt(x-3)# using the quotient rule?
  
• What are the first and second derivatives of #f(x)=ln(x-2)/(x-2) #?
  
• How do you solve #log x=-2#?
  
• What are some common mistakes students make with function composition?
  
• What is the dot product of #<5,6,-3 ># and #<-4,8,-5 >#?
  
• Why do factorials not exist for negative numbers?
  
• Is it possible to factor #y= - x^2 - 10x + 20#? If so, what are the factors?
  
• How do you simplify # (-2 + 5i) + (-4 - 2i) # and write in a+bi form?
  
• What is #3costheta# in terms of #sintheta#?
  
• What is the distance between # (–5, –9) # and # (–4, 7) #?
  
• What are the asymptotes and removable discontinuities, if any, of #f(x)= (x^2+4)/(x-3) #?
  
• How do you find the zeros, real and imaginary, of #y=3x^2-17x-9# using the quadratic formula?
  
• What are the components of the vector between the origin and the polar coordinate #(8, pi)#?
  
• What are critical points?
  
• What are some sample matrix multiplication problems?
  
• How do you solve #4/(7x) = -12 #?
  
• How do you factor the expression #9x^2+9x+2#?
  
• What are the points of inflection, if any, of #f(x)=e^(2x) - e^x #?
  
• What is the cross product of #[-3, 5, -3]# and #[1, -3, 2] #?
  
• How can you use trigonometric functions to simplify # 3 e^( ( 2 pi)/3 i ) # into a non-exponential complex number?
  
• Question #761c0
  
• What is the difference between a convex polygon and a concave polygon?
  
• What is the second derivative of #f(x)=x^8 + 2#?
  
• How do you determine where the function is increasing or decreasing, and determine where relative maxima and minima occur for #f(x) = (x - 1)/x#?
  
• Question #059f6
  
• What is the dot product of #<2,0,7># and #<-4,9,-1 >#?
  
• What is a convex polygon?
  
• How do you integrate #int (x-9)/((x+3)(x-6)(x+4)) # using partial fractions?
  
• How do you use the factor theorem to determine whether x+3 is a factor of #-4x^3 + 5x^2 + 8#?
  
• How would you find the center and radius of #x^2 + y^2 - 81 = 0#?
  
• How do you prove #tan(x/2)= sinx+cosxcotx-cotx#?
  
• What is the vertex of #y=2(x +3)^2 -8x #?
  
• Is it possible to factor #y=x^2 + 3x - 10 #? If so, what are the factors?
  
• What is the norm of #< -5 , -2, 4 >#?
  
• How can you use trigonometric functions to simplify # 4 e^( ( 5 pi)/4 i ) # into a non-exponential complex number?
  
• Using the graph of f(x)= 1/x as a starting point, describe the transformations to get to #g(x) = 1/x-4#?
  
• How do you solve #3r-4=4(r-3)#?
  
• Why is the derivative of a linear function a constant?
  
• How do you find the zeros of # y = 7x^2 + x -2 # using the quadratic formula?
  
• How do you factor #2x^4-2x^2-40#?
  
• What are unit vectors used for?
  
• How do you find the derivative of #sqrt(5x)#?
  
• How do you integrate #int ln(x)/x dx# using integration by parts?
  
• How do you find the asymptotes for #y = (x^2-2x)/(x^2-5x+4)#?
  
• How do you solve the following linear system: #-2x+y=1 , y= -5x-4 #?
  
• What is the distance between #(5,-11,-5)# and #(4,-13,6)#?
  
• For #f(x)=sinx# what is the equation of the tangent line at #x=(3pi)/2#?
  
• How do solve the following linear system?: # 7x+3y=27 , 7x-2y=8 #?
  
• What is the vertex form of #y= x^2 - 3x + 9 #?
  
• How do you differentiate #g(x) = (2 + 4e^x) ( 2x + 2x^2)# using the product rule?
  
• What is the equation of the parabola that has a vertex at # (-3, 6) # and passes through point # (1,9) #?
  
• How do you write a polynomial with function of minimum degree in standard form with real coefficients whose zeros include -3,4, and 2-i?
  
• What does #sin(arc cos(2))+3cos(arctan(-1))# equal?
  
• How do you differentiate #y = 4lnx + 2cosx - 3e^x#?
  
• How do you factor the expression #9x^2 + 12x + 4#?
  
• What is #int_(1)^(4) x^4-x^3+sqrt(x-1)/x^2 dx #?
  
• How do you find the number of roots for #f(x) = x^3 + 2x^2 - 24x# using the fundamental theorem of algebra?
  
• What are the absolute extrema of #f(x)=(sinx) / (xe^x) in[ln5,ln30]#?
  
• What are the points of inflection of #f(x)=xcos^2x + x^2sinx #?
  
• Is #f(x)=(x^2-2)/(x+1)# increasing or decreasing at #x=1#?
  
• How do you find [g of h](x) given #g(x)=8-2x# and #h(x)=3x#?
  
• How do you solve the system #x^2 - 2y = 1#, #x^2 + 5y = 29#?
  
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