econ11bucscams11bReview Questions 7Applications of definite integrals to economics1.Compute the following integrals. Use the table of integrals in Appendix C.a.Z4dx5x√x2+ 9=b.Z402x dx√9 + 4x=c.Z100200t2e-0.06tdt=d.Z3dv√4v2+ 25=e.Z5x3lnx dx=f.Z203 + 5x2 + 7xdx=2.Compute the producers’ and consumers’ surplus at equilibrium for the marketwith the supply and demand equations:supply:p= 0.1q+ 5;demand:p= 40-q10-q2100.3.Compute the Gini coefficient (of inequality) for the nation whose income distribu-tion curve is given byy= 0.3x3+ 0.2x2+ 0.5x.4.Compute the present value of the continuous annuity that pays at the ratef(t) =
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20 years, 4.75%, income distribution curve, 0.0019k