Answers edited by Truong-Son N.

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• How do you find the derivative of #y = lnx^2#?
  
• How do you find the integral of #(x^2 - 1)^(1/2)#?
  
• How do you find the derivative of #g(x)=3 arccos (x/2)#?
  
• How do you find the coefficient of #x^6# in the taylor series expansion?
  
• How do you differentiate #y=sinxsecx#?
  
• Question #52694
  
• What is the definite integral of 0?
  
• 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=6x^2#, #y=6sqrtx# rotated about the y-axis?
  
• What is the derivative of #f(x)=arcsin sqrt sinx#?
  
• How do you calculate the derivative of #r= 2thetasqrt(sec theta)#?
  
• A wheel of radius 1 meter rolls forward half a revolution on a horizontal ground. The magnitude of the displacement of the point of the wheel initially in contact with the ground is ?
  
• What is the antiderivative of the distance function?
  
• How do you find the taylor series series for #f (x) = 5 cos πx# at a=1/2?
  
• At STP, what is the volume of #"2 mols"# of chlorine gas?
  
• What is the integral of sin(x) dx from 0 to 2pi?
  
• What is the sum of the first 10 terms of this geometric sequence 3, –6, 12, –24, …?
  
• How do you use substitution to integrate #(x-2)^5 (x+3)^2 dx#?
  
• How do you integrate #(1+lnx)xlnx#?
  
• What does it mean when two point charges form a dipole a small distance away from each other?
  
• How do you find the integral of #x(ln x)^3 dx#?
  
• How do you use substitution to integrate #x^2sqrt(x^(4)+5)#?
  
• What is the integral of #1/ln(lnx)#?
  
• How do you find the integral of #x^3 * sqrt(x^2 + 4) dx#?
  
• How do you solve #12^(2x-3)=16#?
  
• What is the derivative of #f(x)=tan^-1(x)# ?
  
• What is the limit of #(sqrt(3x^4+x^2)# as x approaches 6?
  
• Does “resonance” refer to the idea that molecules are resonating rapidly between different bonding patterns? Why?
  
• What is Leibniz Notation ?
  
• How do you find the derivative of #2^(3^(x^2))#?
  
• Which one is more acidic? Acetone or acetaldehyde? Methyl acetate or acetone?
  
• How can spectroscopy be used to identify a gas?
  
• What is the integral of #e^(1/x)dx#?
  
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