week5a - Math 111L Academic Resource Center Riemann Sums 1....

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Math 111LAcademic Resource CenterRiemann Sums1. Estimate the following integrals using Riemann sums with the given Δxand sum type.(a)Z82x2dxΔx= 1, LHS(b)Z73sinx dxΔx=110, RHS(c)Z6-1e2xdxΔx=1100, LHS(d)Z82(x+ 3)4dxΔx=1N, RHS1
Math 111LAcademic Resource Center2. Determine whether the following sums are LHS, RHS, or Midpoint sums, and write downthe integral the sums are estimating. Assume integer limits of integration.(a)100Xk=1cos3 +4k1004100(b)999Xk=0sin-2 +4k100041000(c)499Xk=0cosk1251125(d)10Xk=12.7 +6k102610(e)99Xk=01 +1100+2k10032100(f)4999Xk=0k5000150002
Math 111LAcademic Resource Center3. How small do we have to choose Δ
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