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) #?