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A population of honeybees increased at a rate of r(t) bees per week. Use midpoint rule with 6 subintervals to estimate the increase in the bee population during the first 24 weeks.
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use the Riemann sum. Your delta(X) will be 4, evaluate your function at 2, 6, 10, 14, 18, 22
do I have to use an integral?
no
it will be f(2)*4 + f(6)*4 + f(10)*4 + f(14)*4 + f(18)*4 + f(22)*4
When the word "subinterval" appear, it usually means Riemann sum and not integrals.
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is there an equation for f our how would I add them. would it just be 2*4 and add the rest?
you were not given a function? Is it just r(t), well then that's all you can say. For the answer, just substitute f for r
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