Answers created by dansmath

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• How do you evaluate `\sqrt { 7+ \sqrt { 2} }`?
  
• The sine of an angle is `4/5`. What is the tangent of the angle?
  
• What is the unit vector that is orthogonal to the plane containing `(29i-35j-17k)` and `(20j +31k)`?
  
• How do you minimize and maximize `f(x,y)=(x-2)^2-(y-3)^2/x` constrained to `0<xy-y^2<5`?
  
• How do you factor the expression `x^3y^3 + z^3`?
  
• What are the points of inflection, if any, of `f(x)= x^5 -7 x^3- x^2-2`?
  
• How do you simplify `i^48 + i^150 - i^78 - i^109 + i^61`?
  
• How do you factor the expression `x^4+216x`?
  
• How do you solve `log_4 (3x+1) = 2`?
  
• How do I find the limit of `(xy)/sqrt (x^2+y^2)`?
  
• How do you solve the triangle when given b = 15, c=8, a=15?
  
• How do you use synthetic division to find the x intercepts of `g(x)=x^3 -3x +2`?
  
• How do you convert `r = 5 cos (t)` into cartesian form?
  
• How do you write a polynomial function given the real zeroes 8,-i, i and coefficient 1?
  
• How do you solve `e^(2x) - 7e^(x) + 8 = 0`?
  
• How do you solve `40 / (1+e^(-2x)) = 8`?
  
• How do you find the coefficients for a conic in a rotated system?
  
• How do you find the linear approximation of `f(x,y) = sqrt(53-9x^2-y^2)` at (2,-1)?
  
• How do I know if two lines are parallel in three-dimensional space?
  
• How do you graph a quadratic function?
  
• How do I find a logistic function from its graph?
  
• How do you find the area of the region bounded by the polar curve `r=2+cos(2theta)` ?
  
• How do you find the 10-th partial sum of the infinite series `sum_(n=1)^oo(0.6)^(n-1)` ?
  
• How do you use the binomial series to expand the function `f(x)=(1-x)^(2/3)` ?
  
• How do you find the radius of convergence of a power series?
  
• How do you use the limit comparison test on the series `sum_(n=1)^oo1/sqrt(n^3+1)` ?
  
• How do you find the equation of the tangent to the curve `x=t^4+1`, `y=t^3+t` at the point where `t=-1` ?
  
• How do you find the inflection points for the function `f(x)=x/(x^2+9)`?
  
• How do you use the direct Comparison test on the infinite series `sum_(n=1)^oo(1+sin(n))/(5^n)` ?
  
• How do you find the linear approximation of `(1.999)^4` ?
  
• What is the linear approximation of a function?
  
• How do I know if two lines are perpendicular in three-dimensional space?
  
• How do I find the unit vector for `v = < 2,-5,6 >`?
  
• What is the derivative of `f(x)=ln(cos(x))` ?
  
• How do you Use the trapezoidal rule with `n=8` to approximate the integral `int_0^pix^2*sin(x)dx`?
  
• What causes exponential growth of a population?
  
• What is the derivative of `y=e^(-1)`?
  
• What is the inflection point of `y=xe^x`?
  
• Question #f387d
  
• How do logistic and exponential growth differ?
  
• How do you find the inflection point of a cubic function?