Answers edited by Truong-Son N.

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• What is the derivative of #arctan(x-1)#?
  
• How do you find the arc length of the curve #y=e^(-x)+1/4e^x# from [0,1]?
  
• What makes the classical dipole moment for water different than its experimental result? I used #r = 0.958# angstroms, #A_(HOH) = 104.4776^o#, and #q_(OH) = -0.52672 a.u.#, where #a.u. = # electron-charge. My result was #1.484 D#, compared to #1.85 D#.
  
• How do you find the integral #(ln x)^2#?
  
• How do you use substitution to integrate #x^2sqrt(4x+9)dx#?
  
• What is an example of an Arrhenius acid practice problem?
  
• How do you simplify Cotangent(Arcsin)?
  
• How do you complete the square to solve #x^2 + 5x + 6 = 0#?
  
• Does it matter if for a dissolution reaction, we write #"H"_2"O"(l)# above the reaction arrow or as a reactant, since it becomes a spectator particle?
  
• What is the derivative of #arctan(x/3)#?
  
• How do you solve the equation and identify any extraneous solutions for #(2x+1)^(1/3)=3#?
  
• How do you use the definition of a derivative to find the derivative of #1/sqrt(x)#?
  
• What is the limit of #( x^3 - 8 )/ (x-2)# as x approaches 2?
  
• How do you simplify #(8y^3-16y^2)/(2y^3-2y^2-4y)#?
  
• How do you find the derivatives of inverse function #f(x) = arctan(cos(3x))#?
  
• Question #25506
  
• How does calculus relate to chemistry?
  
• Why the total mass of reactants and of product not change in a chemical reaction?
  
• How do you find the derivative of #sin(x^3)#?
  
• How do you use the integral test to determine the convergence or divergence of the series from n=1 to infinity for #(arctan n) / (n^2 + 1)#?
  
• What is the integral of #dx/(x-2x^2)^(1/2)#?
  
• What is an example of an impulse practice problem?
  
• How do you find the slope of the tangent line to the curve at (1,0) for #y=x-x^2#?
  
• What is the integral of #1/(x^5)#?
  
• In the presence of acid, if a Grignard reagent reacts with a keto-ester, which carbonyl carbon would be targeted? Does it matter?
  
• How do you find all solutions of the equation #sin theta-1=0#?
  
• How do you find the integral #ln(x) x^(3/2) dx#?
  
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