I will rate Burlington County College x D Blackboard Learn VA Section 4.2 Homewo
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Burlington County College x D Blackboard Learn VA Section 4.2 Homework o order review Payless Sho x C www.webassign.net/web/Student/Assignment Responses/last?dep 4222036 Acct Imported From IE Bb My Notes I LarCalc9 4.2.038 M 3. -1 points Find the limit of s(n) as n oo. 16 n(n 1)(2n 1) s(n) Need Help? Read it Master it Chat About It 4. -12 points My Notes LarCalc9 4.2.044 Use the upper and lower sums to approximate the area of the region using the given number of subintervals (of equal width). (Round your answers to three decimal places upper sum lower sum Need Help? Read t iChat About It Diss,4 zip PICTURE 1.zip PICTURE-2001.zip Show all downloads... x 5:05 PM 7/26/2012Explanation / Answer
for the first part we just need to figure out what the coefficients on the n^3 terms will be. Basically the only parts of the fraction that will end up mattering will be 32n^3 / 4n^3 or 8n^3 / n^3. This is because all of the other parts of the fraction will approach 0 as n approaches infinity. Since we can reduce it to 8n^3 / n^3, we can the divide out the common terms (n^3) and be left with the limit which is 8. Now for the next part. Since we are dividing the area into 5 parts, the width of each rectangle is 0.2. To calculate the upper sum, we do... 0.2( sqrt(1-(0)^2) + sqrt(1-(.2)^2) + sqrt(1-(.4)^2) +sqrt(1-(.6)^2) +sqrt(1-(.8)^2)) = 0.859262 For the lower sum we do... 0.2(sqrt(1-(.2)^2) + sqrt(1-(.4)^2) +sqrt(1-(.6)^2) +sqrt(1-(.8)^2)+sqrt(1-(1)^2)) = 0.659262