# HW6nosols - Math for Econ II-Homework Assignment 6 Selin...

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Math for Econ II-Homework Assignment 6Selin KalayciogluNew York University1. Find the following integrals:(a)Z14-xdx(b)Z3x-22x+ 1dx(c)Zte5tdt(d)Z(lnt)2dt(e)Zt+ 75-tdt(f)Zx+ 16x+x2(g)Z1w4-w3(h)Z10x+ 2x3-5x2+x-5dx2. Iffis a twice differentiable function, findZf00(x) lnx dx+Zf(x)x2dx(Your answer should containf, but no integrals.)3. Iffis a twice differentiable function, findRxf00(x)dx.(Your answer should containf, but no integrals.)4. During a surge in the demand for electricity, the rate,r, at which energy is used can be approximated byr=te-at,wheretis the time in hours andais a positive constant.(a) Find the total energy,E, used in the firstThours. Give your answer as a function ofa.(b) What happens to
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Term
Spring
Professor
KLEEMAN
Tags
twice differentiable function, school population