Answers created by Calculus V.

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• 9. f(x) = (1+x)^0.3/1+x^0.3 in the interval [0,1] is attained at x equal to: A. 1 B. 2^0.7 C. 2^-0.7 D. 0 Ans. A Please give explanation???
  
• How do you differentiate #ycosx^2-y^2=xy-x^2#?
  
• How do you find the solution of the system of equations #3x+4y=10# and #x-y=1#?
  
• Differentiate in the form of wrtx? sin^3xsin3x
  
• Let R be the region bounded by #y = 1/x#, #y = x^2#, #x = 0#, and #y = 2# and revolved about the x axis. How do you find the volume of rotation using: a) the method of cylindrical shells; b) the method of circular disks?
  
• How do you find the derivative of #w=(2-3x)/(1+2x)#?
  
• How do you test this series? sum for n=1 to infinity sin^2(1/n) convergence , by using limit comparison test with cn=1/n^2 .
  
• How do you use the Nth term test on the infinite series #sum_(n=1)^oorootn(2)# ?
  
• How do I evaluate the indefinite integral #int(tan^2(x)+tan^4(x))^2dx# ?
  
• How do you find a removable discontinuity for a function?
  
• How do I find the integral #intln(x)/sqrt(x)dx# ?
  
• What does differentiable mean for a function?
  
• How do you find the limit #lim_(x->2^+)sqrt(2-x)# ?
  
• How do you find a vertical asymptote for f(x) = ln(x)?
  
• How do I use the Limit Comparison Test on the series #sum_(n=1)^oosin(1/n)# ?
  
• How do you find the derivative of #y=6 cos(x^3+3)# ?
  
• What are non differentiable points for a function?
  
• What are non differentiable points for a graph?
  
• What is the horizontal asymptote of #y = 2x# ?
  
• What is the derivative of #y=cos(x)# ?
  
• What is the derivative of #f(x)=cos^-1(x^3)# ?
  
• What is the vertical asymptote of a log function?
  
• How do you find the derivative of #y=ln(2x)#?
  
• How do you use L'hospital's rule to find the limit #lim_(x->oo)x^(1/x)# ?
  
• What is the Horizontal Asymptote of #y=arctan(x)#?
  
• How do you find horizontal asymptotes for #f(x) = arctan(x)# ?
  
• Find the limit as x approaches infinity of #y=arctan(e^x)#?
  
• How can calculus be used to optimize manufacturing processes?
  
• What is the derivative of #y=3x^2e^(5x)# ?
  
• What is the derivative of #f(x)=ln(sin^-1(x))# ?
  
• What is the derivative of #f(x)=b^x# ?
  
• How do you use the quotient rule to find the derivative of #y=(e^x+1)/(e^x-1)# ?
  
• What is the sum of the infinite geometric series #sum_(n=1)^oo2^n/5^(n-1)# ?
  
• How do you find the sum of the infinite geometric series with #a_1=-5# and #r=1/6#?
  
• What is the sum of the infinite geometric series with #a_1=42# and #r=6/5#?
  
• What is the sum of the infinite geometric series #sum_(n=1)^oo(1/3)^n# ?
  
• What is the sum of the infinite geometric series #sum_(n=1)^oo6(0.9)^(n-1)# ?