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?