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    Organic Chemistry: Aromaticity

    Homework Statement Homework Equations Huckel's Rule: 4n +2 pi electrons The Attempt at a Solution I'm having problems with the last molecule. I said that the first molecule was indeed aromatic because it has 6 pi electrons and obeys the 4n + 2 rule. The second one is not aromatic because...
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    Partial Fraction Decomposition problem

    Homework Statement Evaluate ∫((secx)^2)/[((tanx)^2)+(3tanx)+2] Homework Equations Partial fraction decomposition The Attempt at a Solution So here's what I did: But this is incorrect. It says the correct answer is -2lnabs(\frac{1}{2tanx+3}+\sqrt{4(tanx+3/2)^{2}-1}), which was...
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    Electric Field Outside a Solenoid

    Homework Statement A solenoid has a radius of 1.85 cm and 1110 turns per meter. Over a certain time interval the current varies with time according to the expression I = 2.50t, where I is in amperes and t is in seconds. Calculate the electric field 5.47 cm from the axis of the solenoid...
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    Substitution and Integration by Parts

    Homework Statement First make a substitution and then use integration by parts to evaluate the integral. ∫x^{7}cos(x^{4})dx Homework Equations Equation for Substitution: ∫f(g(x))g'(x)dx = ∫f(u)du Equation for Integration by Parts: ∫udv = uv - ∫vdu The Attempt at a Solution So...
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    Integration by Parts 5x ln(4x)dx

    Homework Statement Use integration by parts to evaluate the integral. ∫5x ln(4x)dx Homework Equations ∫udv = uv - ∫vdu The Attempt at a Solution So here's my solution: But the computer is telling me I'm wrong :( We haven't learned how to integrate lnx yet, so the...
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    Electric flux through the earth

    Homework Statement The Earth's radius is 6370 km . There is a downward-pointing electric field in the atmosphere above the Earth's surface, of average magnitude 140. N/C . a) What is the flux of the electric field out of the Earth? b) What is the charge on the Earth? Homework...