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5. A table of values of an increasing function ƒ is given. Use the table to find lower and 8 upper estimates for [ f(x)dx . X f(x) 0 The 0 -32 2 25 4 -20 6 -5 8 0

5. A table of values of an increasing function ƒ is given. Use the table to find lower and 8 upper estimates for [ f(x)dx . X f(x) 0 The 0 -32 2 25 4 -20 6 -5 8 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve problem 5, 8, and 11 please.
5. A table of values of an increasing function ƒ is given. Use the table to find lower and 8 [ƒ (x)dx . 0 upper estimates for 6. X X 1 3√x+1 n=4 =dx, n = 5 0 -32 6-9. Use the Midpoint Rule with the given values of n to approximate the integral. Round each answer to four decimal places. 2 -25 10. g(x) = √ √1 + 21 dt 0 4 -20 8. 65 6 12x√x² 0 N 000 8 +1dx, n=6 10 9. [cos √√x dx, n = 5 0 The Fundamental Theorem of Calculus 10-15. Use Part I of the Fundamental Theorem of Calculus (FTC) to find the derivative of the following functions: 11. g(y) = [t² sint dt 3
Transcribed Image Text:5. A table of values of an increasing function ƒ is given. Use the table to find lower and 8 [ƒ (x)dx . 0 upper estimates for 6. X X 1 3√x+1 n=4 =dx, n = 5 0 -32 6-9. Use the Midpoint Rule with the given values of n to approximate the integral. Round each answer to four decimal places. 2 -25 10. g(x) = √ √1 + 21 dt 0 4 -20 8. 65 6 12x√x² 0 N 000 8 +1dx, n=6 10 9. [cos √√x dx, n = 5 0 The Fundamental Theorem of Calculus 10-15. Use Part I of the Fundamental Theorem of Calculus (FTC) to find the derivative of the following functions: 11. g(y) = [t² sint dt 3
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