Answers edited by Truong-Son N.

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• How do you use the comparison test for #sum (((ln n)^3) / (n^2))# n=1 to #n=oo#?
  
• How do you solve #24x^3+18x^2-168x = 0#?
  
• How do you evaluate #log 1#?
  
• How do you integrate #x^2/sqrt(9-x^2) dx#?
  
• Using the integral test, how do you show whether #(1/sqrt (n+1))# diverges or converges?
  
• Help with these two limits? #(a)# #lim_(x->oo) e^(-2x)sqrtx#, #(b)# #lim_(x->oo) (sin(6x))/(sin(7x))#
  
• How do you find the volume of the region bounded by #y=sqrt x,# and the lines #y=2# and# x=0# and it is revolved about the line #y=2#?
  
• How do you integrate #(x^5)(sqrt(4 - x^2)) dx#?
  
• Using the integral test, how do you show whether #sum 1/sqrt(n+1)# diverges or converges from n=1 to infinity?
  
• How can the factorial of 0 be 1?
  
• How do you use a half-angle formula to simplify #tan 105#?
  
• How do you multiply #(4sqrt3-5sqrt2)(2sqrt3+3sqrt2)#?
  
• What does Hess's law allow you to do?
  
• How do you use substitution to integrate #x(sqrt(2x+1))dx.#?
  
• How do you find the value of #cot (pi/2)#?
  
• How do you find the exact value for #(5tan60°) / cos30°#?
  
• How do you integrate #int (x^2)/(1-x^3) dx#?
  
• How can you evaluate: #int_0^2(1/(1+x^4))dx# ?
  
• How do you find the slope of the tangent line to the graph of the given function # y=sinx+3#; #x=pi#?
  
• How do you find the arc length of the curve #y=(x^2/4)-1/2ln(x)# from [1, e]?
  
• What quantum numbers refer to a 4d orbital?
  
• Are there molecules that interconvert between isomers upon irradiation with UV light?
  
• What is the antiderivative of #4x#? thanks!?
  
• How do you find all the asymptotes for function #y=1/x#?
  
• How do you use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function #int sqrt (2 + sec 7t)#?
  
• Consider the solid obtained by rotating the region bounded by #y=2x#, #y=2sqrtx# about the line y = 2, how do you find the volume?
  
• How do you use the comparison test for #sum 1/(5n^2+5)# for n=1 to #n=oo#?
  
• How do you use the Change of Base Formula and a calculator to evaluate #log_pi (sqrt{2})#?
  
• How does pressure affect enthalpy?
  
• What is the period and amplitude for #y=2 sin x#?
  
• How do you integrate by parts: #int x e^3xdx#?
  
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