Answers created by Altrigeos

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• How do you find `\lim _ { x \rightarrow 0} \frac { x + \sin ( x ) } { x }`?
  
• What is the solution of the Differential Equation `dy/dx=(x-3)y^2/x^3`?
  
• How do you use summation formulas to rewrite `\sum _ { i = 1} ^ { n } \frac { 8i + 9} { n ^ { 2} }`?
  
• Y-y' = 1/(e^-x-1) y=?
  
• What is the general solution of the differential equation `x^2y'' -xy'-3y=0`?
  
• At what point on the curve `y=1+2e^x-3x` is the tangent line parallel to the line `3x-y=5`?
  
• Identify the domain of the exponential function shown in the following graph: A curve runs just above the x axis through the second quadrant, passes through point 0 comma 1 and continues off screen near 1 comma 12. ??
  
• How do you simplify `\frac { 14+ 8i } { 2- i }`?
  
• How do you differentiate `arctan(x-(1+x^2)^(1/2))`?
  
• How do you find `int ( 3x-1)/(x^2+2x-8) dx` using partial fractions?
  
• Let `f(t) = [t+ sqrt(3)]/[1 - tsqrt(3)]`. Prove that `f` is a cyclic function?
  
• Question #dc02f
  
• Question #e2be8
  
• Question #f59b1
  
• How do you integrate by substitution `int t^2(t-2/t)dt`?
  
• Question #916a5
  
• The sum of two numbers is 25, the sum of their squares is 313. What are the numbers?
  
• If `x^2-10ax-11b=0` and `x^2-10cx-11d=0` then what is `a+b +c+d`?
  
• Question #7359c
  
• Question #72122
  
• How do you use limits to find the area between the curve `y=x^4` and the x axis from [0,5]?
  
• Question #431e3
  
• What is the area of the shaded region? What is the answer to the nearest tenth of a square unit?
  
• Question #f8c0c
  
• How to Solve `5-4cosx=4sin^2x` for `-90°<=x<=90°` ?
  
• Question #d7a8e
  
• Question #b5658
  
• What are the points of inflection, if any, of `f(x) =12x^5+15x^4–240x^3+6`?
  
• How do you find the linearization at a=pi/4 of `f(x)=cos^2(x)`?
  
• How do you determine the limit of `5/(2x^4)` as x approaches 0+?
  
• How do you find the limit of `(x^3 - x)/(x-1)^2` as x approaches 1?
  
• How do you find the limit of `(x-cosx)/x` as x approaches `oo`?
  
• How do you differentiate `f(x)=csc(ln(1/x^4))` using the chain rule?
  
• Question #cf0d2
  
• Question #5285e
  
• What is the distance between the following polar coordinates?: `(3,(-5pi)/12), (6,(3pi)/8)`
  
• How do you simplify `2sqrt6 + sqrt24`?
  
• Question #f8198
  
• What is the equation of the line that is normal to the polar curve `f(theta)=sin(2theta+pi) -theta` at `theta = pi/4`?
  
• Question #f36f5
  
• Part of the proceeds from a garage sale was $490 worth of $10 and $20 bills. lf there were 4 more $10 bills than $20 bills, how do you find the number of each denomination?
  
• Question #81a78
  
• Question #b31ec
  
• How do you find the derivative of `f(x) = x + sqrt(x)`?
  
• What is the slope of the line normal to the tangent line of `f(x) = sin(2x-pi/6)` at `x= pi/3`?
  
• What is the equation of the line tangent to `f(x)=x tan2x` at `x=pi/8`?
  
• How do you find the area bounded by `x=8+2y-y^2`, the y axis, y=-1, and y=3?
  
• What is `int1/(x^2-5)`?
  
• What is the equation of the line tangent to `f(x)=e^xsinx/x` at `x=pi/3`?
  
• How do you differentiate `f(x)=sin^2(lnx)xcos^2(x^2)` using the chain rule?
  
• How do you find the Taylor polynomial of degree n=4 for x near the point a=pi for the function cosx?
  
• Question #30ad4
  
• Which option is correct?
  
• How do you use the chain rule to differentiate `f(x)=sqrt(4x^3+6x)`?
  
• Question #aa131
  
• How do you use the product rule to differentiate `sin(x^2)(cos(x^2))`?
  
• Which option is correct?
  
• How do you differentiate `f(x)= 5sinx*(1-2x)(x+1)-3` using the product rule?
  
• How do you implicitly differentiate `-1=xy^2+x^2y-e^ysec(xy)`?