Answers created by Truong-Son N.

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• How do you find the derivative of the function #f(x)=arcsinx+arccosx#?
  
• What is an example of converging energy?
  
• How do you use substitution to integrate #sqrt(4-x^2) dx#?
  
• What makes for a good leaving group?
  
• When the resistance is greater than the capacitive reactance in a series RC circuit, what is the value of the phase angle?
  
• How do you generate a good nucleophile?
  
• What is the antiderivative of #secx#?
  
• How do you use partial fraction decomposition to decompose the fraction to integrate #(x^2+x-6)/((x^2+1)(x-1))#?
  
• The radius of a sphere is increasing at a rate of 4 mm/s. How fast is the volume increasing when the diameter is 40 mm?
  
• How do you use partial fraction decomposition to decompose the fraction to integrate #2/((x-5)(x-3))#?
  
• How do you differentiate #f(x) = abs(5x-2)#?
  
• How do you use synthetic division to divide #3x^3 - x^2 + 8x-10# by #x-1#?
  
• How do you find the derivative of #y=tan(2x)#?
  
• Do we ever talk about the #"H"^(+)# concentration as a minor component in a solution?
  
• How is #"Na"_2# possible? If it is possible, is it a gas? And are all gases nonmetals?
  
• What is a plausible mechanism for the Haber process?
  
• Why does chemistry seem hard?
  
• How do you differentiate #y= (1- sec x)/ tan x#?
  
• How do you use substitution to integrate #[ 1 / ( t^2 + t - 2)^(1/2)]dt#?
  
• What is the Taylor series expansion of #f(x) = 1/x^2# at a=1?
  
• How do I relate equilibrium constants to temperature change to find the enthalpy of reaction?
  
• What is the reaction of sodium chloride with sulfuric acid?
  
• How do you find the integral of #(e^(-1/x)) / x^2#?
  
• How do covalent bonds share electrons?
  
• Why do covalent bonds have a low melting point?
  
• What is a Taylor series approximation for #f(x)=cos(pix)# with n = 4 and a = 3?
  
• How do you find the taylor series for #f(x)=1/(1+x^3)#?
  
• Which of the following is true about phase changes?
  
• Calculate the enthalpy of reaction for the reaction #"CH"_3"COOH" + "H"_2"O" -> "CH"_3"CH"_2"OH" + "O"_2#?
  
• What kind of reagent limits the yield of a reaction?
  
• 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 the slope of the tangent line to the curve at (1,0) for #y=x-x^2#?
  
• How do you find the arc length of the curve #y=e^(-x)+1/4e^x# from [0,1]?
  
• 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 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 find the integral #ln(x) x^(3/2) dx#?
  
• Question #25506
  
• How do you find the derivatives of inverse function #f(x) = arctan(cos(3x))#?
  
• What is the limit of #( x^3 - 8 )/ (x-2)# as x approaches 2?
  
• How do you use substitution to integrate #x^2sqrt(4x+9)dx#?
  
• How do you take the derivative of #tan^10 5x#?
  
• Why the total mass of reactants and of product not change in a chemical reaction?
  
• What is an example of an Arrhenius acid practice problem?
  
• How do you write 70 million in scientific notation?
  
• How do you simplify #(8y^3-16y^2)/(2y^3-2y^2-4y)#?
  
• How do you complete the square to solve #x^2 + 5x + 6 = 0#?
  
• 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)#?
  
• How do you solve the equation and identify any extraneous solutions for #(2x+1)^(1/3)=3#?
  
• What is an example of an impulse practice problem?
  
• What is the integral of #dx/(x-2x^2)^(1/2)#?
  
• What is the derivative of #arctan(x-1)#?
  
• What is the derivative of #arctan(x/3)#?
  
• How do you find all solutions of the equation #sin theta-1=0#?
  
• How do you simplify Cotangent(Arcsin)?
  
• How do you calculate #Cos^-1(5/13) - Cos^-1(8/17)#?
  
• How do you use the vertical line test to show #x^2-4y^2+4=0# is a function?
  
• How do you use a half-angle formula to simplify #tan 195#?
  
• How do you evaluate #arcsin(sin((5pi)/3))#?
  
• How can I remember the first 18 elements in the Periodic Table?
  
• What is the slope of this equation y = 7?
  
• What is Square root of 2/3 + square root of 3/2?
  
• When we talk about an 1D-NMR spectrum (2-dimensional graph), what does the ordinate axis show?
  
• How do you use the half-angle formulas to find the exact value of #tan((3pi)/8)#?
  
• How do you verify #(1+sinx+cosx)^2 = 2(1+sinx)(1+cosx)#?
  
• What is the derivative of #sqrt[arctan(x)]#?
  
• How do you use the integral test to determine whether the following series converge of diverge #sum n/((n^2+1)^2)# from n=1 to infinity? Thanks for the help !!! I have no idea on how to do these questions?
  
• How do you derive the half angle formula for sin,cos and tan?
  
• A triangle has sides of lengths 4, 3, and 5 is it a right triangle?
  
• How do you find the inverse function of #f(x) = (2x-3)/(x+4)#?
  
• How do you verify the identity #[(cosx cotx)/1-sin x]-1=cscx#?
  
• How do you use the unit circle to find the exact value for #cos ((7pi)/3)#?
  
• How do you find the exact value of #cos[arc tan(-2/3)]#?
  
• What is the derivative of #cos(pi/x)/x^2 #?
  
• Question #4e19a
  
• What is the density of water at #4^@ "C"#?
  
• What does it mean to translate a graph?
  
• What is #lim_(x->oo) x - sqrt(x^2 + 4x + 3)#?
  
• How do you find the equation of the tangent line to a derivative of a function #3x^2-12# at f'(1)?
  
• How do you find the limit of #e^(x-x^2)# as x approaches infinity?
  
• How do you find the limit as (x,y) approaches (0,0) of #(x+y^2) / (2x+y)#?
  
• What is the slope of #2x = -8#?
  
• How do you solve the system #2x+3y=12# and #4x-3y=6#?
  
• How do you combine #2/x + 1/(x-2) + 3/(x-2)^2#?
  
• What is the sum of the arithmetic sequence 4, 11, 18 …, if there are 26 terms?
  
• How do you simplify #(2y + 1 )/( y-2)#?
  
• If the slope is 7, and the given coordinates are (x , 8) and (4 , 1), how do you find x?
  
• How do you simplify #(6sqrt3)/sqrt5#?
  
• How can the factorial of 0 be 1?
  
• Is 2 a complex, nonreal complex, pure imaginary, or real?
  
• What is the period and amplitude for #y=2 sin x#?
  
• How do you use a half-angle formula to simplify #tan 105#?
  
• How do you find all the asymptotes for function #y=1/x#?
  
• How do you multiply #(4sqrt3-5sqrt2)(2sqrt3+3sqrt2)#?
  
• What does Hess's law allow you to do?
  
• How do you use the Change of Base Formula and a calculator to evaluate #log_pi (sqrt{2})#?
  
• How do you evaluate #log 1#?
  
• How do you solve #24x^3+18x^2-168x = 0#?
  
• What quantum numbers refer to a 4d orbital?
  
• How do you find the slope of the tangent line to the graph of the given function # y=sinx+3#; #x=pi#?
  
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