Answers created by Amory W.

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• How do you use the binomial theorem to expand and simplify the expression #2(x-3)^4+5(x-3)^2#?
  
• How do you identify all asymptotes or holes for #m(x)=(x^3-x^2+4x+15)/(x^2+2x-3)#?
  
• What is constant appreciation?
  
• What is the end behavior of the greatest integer function?
  
• How do you translate a graph up or down?
  
• How do vectors represent a point in space?
  
• How do you draw the slope field of the differential equation #dy/dx=1/3(y-1)^(1/3)# ?
  
• How do I evaluate the indefinite integral #intsin^3(x)*cos^2(x)dx# ?
  
• How can you tell if a velocity is constant?
  
• What is the natural log of infinity?
  
• What is the definition of vector addition?
  
• What is the midpoint between #C(1, 2,3)# and #D(3,0,3)#?
  
• What is the end behavior of the sine function?
  
• How many horizontal asymptotes can the graph of #y=f(x)# have?
  
• How do you use Newton's Method to approximate the root of the equation #x^4-2x^3+5x^2-6=0# on the interval #[1,2]# ?
  
• How do you Use the trapezoidal rule with #n=6# to approximate the integral #int_0^3dx/(1+x^2+x^4)dx#?
  
• How do you find the surface area of the solid obtained by rotating about the #x#-axis the region bounded by #y=e^x# on the interval #0<=x<=1# ?
  
• How long can exponential growth last?
  
• What is the derivative of #y=cot^{-1}(x)#?
  
• What is the binomial expansion of #(2x + 3)^5#?
  
• How do I use Pascal's triangle to expand the binomial #(d-5y)^6#?
  
• How can I tell whether a horizontal parabola opens to the left or the right?
  
• What is a polynomial function?
  
• How do I find the limit as #x# approaches negative infinity of #lnx#?
  
• How do I use a graph to solve the system of equations #c+3d=8# and #c=4d−6#?
  
• How to find logs in base 10 on a TI-89?
  
• What is the cross product of two vectors?
  
• How could I determine whether vectors #P< -2,7,4 >, Q< -4,8,1 >#, and #R< 0,6,7 ># are all in the same plane?
  
• What is the quotient rule of logarithms?
  
• What is the 3-D Cartesian coordinate used for in real life?
  
• How do I find #f'(x)# for #f(x)=3^-x# ?
  
• How can carrying capacity be related to population increase?
  
• What is the derivative of #f(x)=e^(pix)*cos(6x)# ?
  
• How does the logistic model of population growth differ from the exponential model?
  
• What is the order of magnitude of 1000?
  
• How do humans perceive sound intensity?
  
• How do I find the inverse of a #3xx3# matrix?
  
• How do I find the dot product of vectors #v =2i-3j# and #w= i-j#?
  
• How do I find the determinant of a matrix using row echelon form?
  
• How can vectors be parallel?
  
• How do I find the inverse of #e^x#?
  
• What is a velocity vector?
  
• Question #f8d17
  
• How do you find the surface area of the solid obtained by rotating about the #y#-axis the region bounded by #y=x^2# on the interval #1<=x<=2# ?
  
• How do you show a limit does not exist?
  
• How do you find jump discontinuity?
  
• How do you use Newton's Method to approximate the positive root of the equation #sin(x)=x^2# ?
  
• How do you find the equation of a tangent line to a curve?
  
• How do I solve a system of 2 equations using a matrix?
  
• What is the range of the function #y = x^2#?
  
• How do I find the limit as #x# approaches negative infinity of the square root function?
  
• What is the limit of #f(x)=4# as #x# approaches 1?
  
• How do I use Cramer's rule to solve a #2xx2# matrix?
  
• What is the graph of #f(x) = -x^2#?
  
• What is the limit of #x/3# as #x# approaches 6?
  
• What is the vertex of #f(x)=7-x^2#?
  
• How do I use the Mean Value Theorem to so #2x-1-sin(x)=0# has exactly one real root?
  
• How do you find vertical asymptote of tangent?
  
• What are resistors used for?
  
• How do you use the tangent line approximation to approximate the value of #ln(1003)# ?
  
• How do you find the stationary points for #f(x)=x^4# ?
  
• How do you find the inflection point of a logistic function?
  
• What is the parallel equivalent of two 1000 W resistors in parallel?
  
• When is the net torque acting on an object zero, and yet the net force is nonzero?
  
• What are some examples of elastic collisions?
  
• Is the series equivalent resistor larger than either resistor, or is it smaller?
  
• What is the series equivalent of two 1000 W resistors in series?
  
• Why do resistors have tolerance?
  
• A fly splats on your windshield. What is the collision type?
  
• A crime suspect fled the scene when police officers entered the building. How far could he run in 10 minutes if he can run 5 miles per hour?
  
• A tire impression left in the mud at a crime scene was 8.7 inches wide. How many centimeters is that?
  
• Question #46750
  
• Question #2ae17
  
• How do I use the quadratic formula to solve #2 + 5/(r-1) = 12/((r-1)^2)#?
  
• What is the distance between #P(3,−2,−3)# and #Q(7,0,1)#?
  
• What is the distance formula for three dimensions?
  
• How do I rotate a parabola from opening up to opening horizontally?
  
• How do I use zero factor property in reverse?
  
• How do I find the standard equation of a parabola?
  
• How do I interpret the graph of a quadratic function?
  
• What is matrix subtraction?
  
• What is the midpoint between #M(7,−1,5)# and the origin?
  
• What is the midpoint formula for three dimensions?
  
• What is the midpoint between #A(1,1,1)# and #B(4,1,-3)#?
  
• Can I find the equation of a quadratic function when only two of its points are known?
  
• How do I add two matrices?
  
• What is the meaning of the phrase invertible matrix?
  
• How do I write the matrix #((4,3,7),(1,1,5),(4,5,7))# in reduced row echelon form?
  
• What is the formula for the distance between two polar coordinates?
  
• What is meant by an irreducible quadratic denominator?
  
• How do I work in #log_10# without a calculator?
  
• How mush work is done in lifting a 40 kilogram weight to a height of 1.5 meters?
  
• If the work required to stretch a spring 1 foot beyond its natural length is 12 foot-pounds, how much work is needed to stretch it 9 inches beyond its natural length?
  
• How do you find the 108th derivative of #y=cos(x)# ?
  
• What does continuous at a point mean?
  
• How do you evaluate the integral #inte^(-x) dx#?
  
• How do you find the length of the curve #x=e^t+e^-t#, #y=5-2t#, where #0<=t<=3# ?
  
• How do you Use Simpson's rule with #n=8# to approximate the integral #int_0^pix^2*sin(x)dx#?
  
• How do you use the Fundamental Theorem of Calculus to evaluate an integral?
  
• How do you find the constant of integration for #intf'(x)dx# if #f(2)=1#?
  
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