Questions asked by seol
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Is the series #\sum_(n=1)^\inftyn^2/(n^3+1)# absolutely convergent, conditionally convergent or divergent?
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Is the series #\sum_(n=1)^\infty\tan^-1(1/n)# absolutely convergent, conditionally convergent or divergent?
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Is the series #\sum_(n=1)^\infty((-5)^(2n))/(n^2 9^n)# absolutely convergent, conditionally convergent or divergent?
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Is the series #\sum_(n=0)^\infty n^n/(4^n n!)# absolutely convergent, conditionally convergent or divergent?
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Is the series #\sum_(n=1)^\infty n e^(-n)# absolutely convergent, conditionally convergent or divergent?
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#\sum_(n=2)^\infty ((x+2)^n)/(2^n\lnn)#?
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Is the series indicated absolutely convergent, conditionally convergent, or divergent? #rarr\4-1+1/4-1/16+1/64...#
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Is the series #\sum_(n=0)^\infty1/((2n+1)!)# absolutely convergent, conditionally convergent or divergent?
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Is the sequence #a_n=(1+3/n)^(4n)# convergent or divergent?
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Check for convergence or divergence in the following sequences?
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(Check my work) Find the interval and radius of convergence of the following series?
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Find the solution of the differential equation that satisfies the given initial conditions?
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Find the arc length of the function below?
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Find the arc length of the function #y=1/2(e^x+e^-x)# with parameters #0\lex\le2#?
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Find the solution of the differential equation #xy'=y+x^2\sinx# that satisfies the given initial conditions below?
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Integrating factor question?
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How does #\lim_(n\rarr\infty)(2|x-2|)/(n+3)=0#?
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#\intx^2\sqrt(9-x^2)dx#?
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Solve using trig sub: #\int(\sec^2\theta\tan^2\theta)/\sqrt(9-\tan^2\theta)d\theta#?
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How to solve #\intx^2\sqrt(9-x^2)dx# with integration by parts?
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What kind of logical fallacy is "Only a radical socialist would propose raising the minimum wage" ?
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What kind of logical fallacy is "The candidates are justified in taking certain liberties with the truth, because liberty is precious to all Americans" ?
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Find the Taylor series (check my work)?
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Find the Taylor expansion #\color(red)\bb\text(formula)#... for #f(x)=1/x^2# given #a=4#?
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Set up Taylor expansion #\bb\color(red)\text(formula)# for #sqrt(x)# around #a=2#?
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Find the first four terms of the Taylor Series: #f(x)=xe^x# given #a=0#?
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Apply Simpson's Rule with #n=4# to approximate the integral below?
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Determine the values of #p# for which the integral below is convergent?
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Find the interval and radius of convergence of the following power series (problem #1a)?
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Find the interval & radius of convergence for the power series in #1b?
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Integrate the following using infinite #\bb\text(series)# ?
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Set up expansion formula for Taylor Series #f(x)=\root(3)(x)# centered round #a=1#?
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Use series to evaluate the limit #\lim_(x\rarr0)(x^2/2-1-\cos(x))/x^4#?
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Integrate the following (below) using infinite #\bb\text(SERIES)#?
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Integrate the following using INFINITE SERIES (no binomial please)?
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Find the integral below?
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Solve #\int(e^(2x))/(1+e^(4x))dx#, OR #\intx\arcsin(x)dx# using infinite series?
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Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter?
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Find the exact length of the curve (parametrics)?
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19. "Describe the motion of a particle with position (#x,y#) as #t# varies in the given interval" ?
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Help refine my essay outline?
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Sketch the curve with the given polar equation...?
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A cow is tied to a silo with radius #r# by a rope just long enough to reach the opposite side of the silo. Find the grazing area available for the cow?
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Find arc length of #r=2\cos\theta# in the range #0\le\theta\le\pi#?
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Find the Taylor series expansion formula of #f(x)=\lnx# at #a=3#?
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Proof of polar #dy/dx#?
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Parametric arc length?
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Solve for #dy/dx#?
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MacLaurin expansion from #f(x)=x^(t-m)\sin^2(4x)#?
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Use series to evaluate limit below?
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Find arc length given #x=t\sint#, #y=t\cost# and #0\let\le1#?
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Find the area of a single loop in curve #r=\sin(6\theta)#?
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Find the derivative of #1/(-sint)#?
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Find the area of the region inside these curves?
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Solve the initial value problem #y'=ky^2\lnx#, with #y(1)=-1#?
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For #f(x)=x^-3#, #a=1#, and #2.5\lex\le3.5#, find the following?
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Find the area of the region bounded by the curves?
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Find the arc length of the curve along the interval #0\lex\le1#?
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Find the general term of the sequence for the sequences whose first few terms are given: #1, 3, 5, 7#?
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Solve integral #\intx^p/(x\sqrt(1-x^2))dx#?
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Find #\int_0^ooe^(-ax)\sin(bx)dx#?
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Find the volume using cylindrical shells?
(Enclosed by x-axis and parabola #y=3x-x^2#, revolved about #x=-1#)
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If the concentration of #NH_3# (from reaction below) is changing at a rate of #0.25# M/sec, what is the rate of change of #H_2# (in M/sec)?
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Find the rate law of #2NO+2H_2\rarrN_2+2H_2O# for the following table below?
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Is there a way to calculate values in the Arrhenius equation without a graphing calculator?
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Equilibrium pressures question?
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#H_2# (g) + #F_2# (g) #\rightleftharpoons2HF# (g), find final values of #[H_2]_(eq)#, #[F_2]_(eq)#, and #[HF]_(eq)#?
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Electrodeposition of copper: what mass of copper can be deposited in 1.00 hr by a current of 1.62 A?
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To show that you are justified in using [OH-] as a constant: using concentrations from Run 1, show that the concentration of NaOH has changed insignificantly when half of a CV chloride has been consumed?
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Calculate the pH of a 0.10 M #H_3PO_4# solution that is also 0.0005 M #(NH_4)_3PO_4#?
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At a certain temperature, 4.0 mol #NH_3# is introduced into a 2.0 L container, and the #NH_3# partially dissociates to #2NH_3(g)\rightleftharpoonsN_2(g)+3H_2(g)#.
At equilibrium, 2.0 mol #NH_3# remains. What is the value of #K_c#?
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Calculate the pH of a solution of 0.10 M #HF# that is also 0.15 M #HCN# if #K_a# for #HF# is #1.0xx10^-5# and #K_a# for #HCN# is #1.0xx10^-7#?
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Determine rate law and rate constant for #2"I"^(-)(aq) + "S"_2"O"_8^(2-)(aq) -> "I"_2(aq) + 2"SO"_4^(2-)(aq)#?
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What is the molar solubility of #Ca_3(PO_4)_2# in 0.0015 M #Ca(NO_3)_2# if #K_(sp)# for #Ca_3(PO_4)_2# is #1.0xx10^(-18)#?
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Determine the rate law and rate constant for reaction detailed below?
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If 2.0 mol #NO# and 1.0 mol #Cl_2# are placed in a 1.0-L flask, calculate the equilibrium concentrations of all species?
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What is the pH if 50.0 mL of 0.100 M HCN is mixed with 50.0 mL of 0.100 M NaOH?
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How many #"mL"# of #1.25%# (by mass) #"HCl"# would be required to neutralize #"215 mL"# of #"325 mEq/L"# #"Ba"("OH")_2#?
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What is the pH if 50.0 mL of 0.100 M HCN is mixed with 100.0 mL of 0.100 M NaOH?
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Balance the below in acidic solution (redox reaction)?
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Calculate #E_(cell)# for: #Mg(s)|Mg^(2+)(0.25M)||Zn^(2+)(0.10M)|Zn(s)#?
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Write a balanced oxidation reduction equation in acidic solution for: #C_2O_4^(2-)+Cr_2O_7^(2-)\toCO_2+Cr^(3+)#?
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What is the pH when #"100.0 mL"# of #"0.100 M HCN"# is mixed with #"50.0 mL"# of #"0.100 M NaOH"#...?
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50.0 mL of 0.100 M #"NH"_3# is titrated with 0.100 M #"HCl"#. What is the pH of the #"NH"_3#/#"HCl"# mixture after the addition of 25.0 mL of #"HCl"#?
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A sample of #"NH"_4"HS"# (s) is placed in a 2.58 L flask containing 0.100 mol #"NH"_3# (g). What will be the total gas pressure when equilibrium is established at 25°C?
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For the reaction below, #K_c=1.8xx10^-6# at 184°C. What is the value of #K_p# for the following reaction (also below) at 184°C?
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Write a balanced redox equation for the following in acidic solution?
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How many #"mL"# of #2.15%# (by mass) #"HCl"# would be required to neutralize #"375 mL"# of #"165 mEq/L"# #"Ba(OH)"_2#?
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For the reaction below, #K_p=81.9#. A reaction mixture contains #P_(I_2)=0.114# atm, #P_(Cl_2)=0.102# atm, and #P_(ICl)=0.355# atm. Find the equilibrium values for #P_(I_2)#, #P_(Cl_2)#, and #P_(ICl)#?
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An 80.0 sample of #N_2O_5# is allowed to decompose at 45°C, how long does it take for the quantity of #N_2O_5# to be reduced to 2.5 g?
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What volume flask should be used to get 0.37 moles #I# present for every mole #I_2# at equilibrium?
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What mass of benzoic acid, #C_6H_5OOH#, would you dissolve in a total solution volume of 350.0 mL to produce a solution with a pH of 2.85?
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A solution of formic acid has a pH of 2.70, calculate the initial concentration of formic acid?
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A 0.125 M solution of a weak acid is 2.5% ionized, what is the dissociation constant #K_c# of the acid?
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Calculate the standard free energy change for the below reaction at 25 degrees Celsius?
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What is #\DeltaS# for the below phase change if #\DeltaH# is 6010 #"J"/"mol"# at STD conditions?
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How do you name coordination compounds? (Undergraduate level)
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What is #E_"cell"# for the following battery? #Mg"(s)"|Mg^{2+}(0.20"M")||H_2(0.5"atm")" "H^{+}(0.300"M")|Pt"(s)"#
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For the following reaction run at 800 K, a mixture at equlibrium contains #P_(N_2)=0.0040# atm, #P_(H_2)=0.063# atm, and #P_(NH_3)=0.48# atm. Calculate #\DeltaG^o# at 800 K?
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Calculate #P_{SO_2}# at equilibrium at 298 K?
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