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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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