Answers edited by Babette

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• Two bicyclists ride in opposite directions. The speed of the first bicyclist is 5miles per hour faster than the second. After 2hours they are 70miles apart. How do you find their rates?
  
• How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y=1#, #y=x^2#, and #x=0# rotated about the line #y=2#?
  
• What is the equation, center, and radius of the circle that passes through #(4,3), (0,-5),# and #(1,2)#?
  
• Solve for X? (Logarithmic Equation)
  
• How do you find the slope of the tangent to the curve #y^3x+y^2x^2=6# at #(2,1)#?
  
• What is the next item in the sequence: 15, 30, 45, 60?
  
• How do you use chain rule to find the derivative of #y = 2 csc^3(sqrt(x)) #?
  
• How do you convert the Cartesian coordinates (0,-10) to polar coordinates?
  
• How do you find the derivative of #ln( -x)#?
  
• How do I evaluate #int (arcsin x)/sqrt (1+x) dx#?
  
• What is the next number in this geometric sequence -3.24, 9.72, -29.16, 87.48?
  
• Question #5cc93
  
• How do you find the limit of #(sqrt(x^2+1))/(3x-1)# as x approaches infinity?
  
• How do you integrate #sqrt(x^2-9)/(x)dx#?
  
• What is the derivative of # arcsin(x^4)#?
  
• How do you solve the inequality: #3 > 2 (5-y) + 3 > -17#?
  
• How do you show that the slope of #{(y=at+b),(x=ct+d):}# is #a/c#?
  
• How do you solve the exponential equation #3^(x-7)=27^(2x)#?
  
• How do you multiply #(a-b)(a-b)#?
  
• How do you solve 6 ÷ 3(2 + 1)?
  
• How do you factor #x^2+11=300#?
  
• How do you solve #secx/cosx - 1/2secx= 0#?
  
• How do you factor #m^2 - 16mn + 48n^2 #?
  
• If y varies directly with x, and y = 6 when x = 20, how do you write the direct linear variation equation?
  
• How do you find the derivative for #x(lnx)^2#?
  
• What is the area of square whose perimeter is 24 inches?
  
• How do you solve #5-lnx=7#?
  
• How do you fill in the blank for the expression #(c^4)^?=c^12#?
  
• How do you simplify #i^100#?
  
• How do you solve #lnx^2=1#?
  
• How do you convert #r^2 = 4 sin θ# into a cartesian equation?
  
• What is #int_(0)^(2) xe^(x^2 + 2)dx #?
  
• How do you solve #9(16)^(2x)=589824#?
  
• How do you integrate #(3x)/(x^2+1)#?
  
• What are the three consecutive odd integers with a sum of 117?
  
• How do you solve #6x^2 - 5x - 56 = 0# by factoring?
  
• What is the vertex form of #y= -3x^2 − 30x-4 #?
  
• How do you integrate #f(x) = (x+6)/(x+1)#?