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Unformatted text preview: 4 Rectangles = 8 Rectangles = Answer(s) submitted: • 28 • 39 • 84 • 67 • • (incorrect) 1 8. Estimate the area under the graph of f ( x ) = 2 x + 1 from x = 1 to x = 5 (a) using a lower sum with 4 rectangles; (b) using an upper sum with 4 rectangles. Answer(s) submitted: • 6.566 • 8.166 (correct) 9. Evaluate the sum: 3 ∑ k = ((1 ) k ( k + 1 ) 22 ) . Answer(s) submitted: •18 (correct) 10. Evaluate the sum: 5 ∑ n = 1 ± 60 7 n ² . Answer(s) submitted: • 9.99 (correct) 11. Find a function f ( k ) such that 5 + 7 + 9 + 11 + 13 = 4 ∑ k = f ( k ) . f ( k ) = Answer(s) submitted: • 2k + 5 (correct) 12. Find the limit of the ﬁnite sums: lim m → ∞ m ∑ n = 1 ± sin ± 1 n ²sin ± 1 n + 1 ²² . Answer(s) submitted: • sin( 1 ) (correct) Generated by c ± WeBWorK, http://webwork.maa.org, Mathematical Association of America 2...
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 Spring '08
 Vershynin
 Derivative, rectangles, Upper Sum, http://webwork.maa.org, Mathematical Association of America, Deepti Singh

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