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)` ?